Relevant bibliographies by topics / Structural dynamics – Mathematical models

Academic literature on the topic 'Structural dynamics – Mathematical models'

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Published: 4 June 2021
Last updated: 29 January 2023

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Journal articles on the topic "Structural dynamics – Mathematical models"

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Urbina, Angel, and Thomas Paez. "Statistical Validation of Structural Dynamics Models." Journal of the IEST 46, no. 1 (September 14, 2003): 141–48. http://dx.doi.org/10.17764/jiet.46.1.f430423634885g67.

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There is an increasing reliance in the engineering community on the use of mathematical models to characterize physical system behavior. This is happening even though mathematical models rarely simulate real system behavior perfectly. Due to this reliance, we require objective, well-founded mathematical techniques for model validation. This paper develops a formal approach to the validation of mathematical models of structural dynamics systems. It uses a probabilistic/statistical approach to the characterization of an important measure of behavior of dynamic systems subjected to random excitations, and seeks to validate a mathematical model in a statistical sense. An example is presented.
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Kochuk, Serhii, Dinh Dong Nguyen, Artem Nikitin, and Rafael Trujillo Torres. "Identification of UAV model parameters from flight and computer experiment data." Aerospace technic and technology, no. 6 (November 29, 2021): 12–22. http://dx.doi.org/10.32620/aktt.2021.6.02.

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The object of research in the article is various well-known approaches and methods of structural and parametric identification of dynamic controlled objects - unmanned aerial vehicles (UAVs). The subject of the research is the parameters of linear and nonlinear mathematical models of spatial and isolated movements, describing the dynamics and aerodynamic properties of the UAV and obtained both from the results of flight experiments and using computer object-oriented programs for 3-D UAV models. The goal is to obtain mathematical models of UAV flight dynamics in the form of differential equations or transfer functions, check them for reliability and the possibility of using them in problems of synthesis of algorithms for automatic control systems of UAVs. Tasks to be solved: evaluation of the analytical (parametric), direct (transient), as well as the identification method using the 3-D model of the control object. Methods used structural and parametric identification of dynamic objects; the determination of static and dynamic characteristics of mathematical models by the type of their transient process; the System Identification Toolbox package of the MatLab environment, the Flow Simulation subsystem of the SolidWorks software and the X-Plane software environment. The experimental parameters of UAV flights, as well as the results of modeling in three-dimensional environments, are the initial data for the identification of mathematical models. The following results were obtained: the possibility of analytical and computer identification of mathematical models by highly noisy parameters of the UAV flight was shown; the mathematical models of UAVs obtained after identification is reliable and adequately reproduce the dynamics of a real object. A comparative analysis of the considered UAV identification methods is conducted, their performance and efficiency are confirmed. Conclusions. The scientific novelty of the result obtained is as follows: good convergence, reliability and the possibility of using the considered identification methods for obtaining mathematical models of dynamic objects to synthesize algorithms for automatic control systems of UAVs is shown.
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Kuzmin, Anton. "Mathematical Exchange Rates Modeling: Equilibrium and Nonequilibrium Dynamics." Mathematics 10, no. 24 (December 9, 2022): 4672. http://dx.doi.org/10.3390/math10244672.

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The development of the author’s concept of the International Flows Equilibrium Exchange Rate (IFEER) is the basis for the mathematical exchange rate modeling of two interconnected equal economies. IFEER-concept allows modeling the exchange rate dynamics of relatively medium-term equilibrium and short- and long-term disequilibrium. Discrete and integral versions of the concept are the basis for further modeling. New structural models of medium-, short- and long-term dynamics and new final structural dependencies of the exchange rate on the system of fundamental factors are the main results. The models include mathematically formalized export-import and capital flows and international competitive advantages indicators. The modeling allowed the revealing of the structural pricing mechanism of the exchange rate dynamics from new positions. We verify the US dollar to the Russian ruble exchange rate modeling during periods of financial and economic crises in recent Russian history, based on a systematic analysis of the exchange rate policy. Because of the analysis, the fall in export prices of oil and other energy carriers in international markets, the rise in consumer prices within the country, and the fall in aggregate output are the main reasons for the fall of the Russian ruble. The conducted modeling allows for the evaluation of the short-term contribution to the crisis depreciation dynamics. The mathematical tools allow for the development of the decision-making process on the exchange rate regulation.
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KOZMA, ROBERT, MARKO PULJIC, and LEONID PERLOVSKY. "MODELING GOAL-ORIENTED DECISION MAKING THROUGH COGNITIVE PHASE TRANSITIONS." New Mathematics and Natural Computation 05, no. 01 (March 2009): 143–57. http://dx.doi.org/10.1142/s1793005709001246.

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Cognitive experiments indicate the presence of discontinuities in brain dynamics during high-level cognitive processing. Non-linear dynamic theory of brains pioneered by Freeman explains the experimental findings through the theory of metastability and edge-of-criticality in cognitive systems, which are key properties associated with robust operation and fast and reliable decision making. Recently, neuropercolation has been proposed to model such critical behavior. Neuropercolation is a family of probabilistic models based on the mathematical theory of bootstrap percolations on lattices and random graphs and motivated by structural and dynamical properties of neural populations in the cortex. Neuropercolation exhibits phase transitions and it provides a novel mathematical tool for studying spatio-temporal dynamics of multi-stable systems. The present work reviews the theory of cognitive phase transitions based on neuropercolation models and outlines the implications to decision making in brains and in artificial designs.
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Collins, O. C., T. S. Simelane, and K. J. Duffy. "Analyses of mathematical models for city population dynamics under heterogeneity." African Journal of Science, Technology, Innovation and Development 11, no. 3 (November 15, 2018): 323–37. http://dx.doi.org/10.1080/20421338.2018.1527967.

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Voges, Nicole, Ad Aertsen, and Stefan Rotter. "Structural Models of Cortical Networks with Long-Range Connectivity." Mathematical Problems in Engineering 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/484812.

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Most current studies of neuronal activity dynamics in cortex are based on network models with completely random wiring. Such models are chosen for mathematical convenience, rather than biological grounds, and additionally reflect the notorious lack of knowledge about the neuroanatomical microstructure. Here, we describe some families of new, more realistic network models and explore some of their properties. Specifically, we consider spatially embedded networks and impose specific distance-dependent connectivity profiles. Each of these network models can cover the range from purely local to completely random connectivity, controlled by a single parameter. Stochastic graph theory is then used to describe and analyze the structure and the topology of these networks.
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ZAVADSKY, SERGEY V., DMITRI A. OVSYANNIKOV, and SHENG-LUEN CHUNG. "PARAMETRIC OPTIMIZATION METHODS FOR THE TOKAMAK PLASMA CONTROL PROBLEM." International Journal of Modern Physics A 24, no. 05 (February 20, 2009): 1040–47. http://dx.doi.org/10.1142/s0217751x09044486.

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Mathematical models of the structural parametric optimization of plasma dynamics are discussed. Optimization approach to plasma dynamic is based on the consideration of trajectory ensemble. This ensemble describes transient process in tokamak subject to the initial data and external disturbances. In the framework of this approach the optimization of dynamics of the trajectory ensemble in ITER tokamak is given. The trajectories of this ensemble are perturbed at the initial point set and the set of external disturbances.
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Kovalskiy, V. F., and I. A. Lagerev. "Impact of wind effects on the loading of hydraulic cranes-manipulators with articulated booms." Izvestiya MGTU MAMI 9, no. 4-1 (February 20, 2015): 21–25. http://dx.doi.org/10.17816/2074-0530-67154.

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This article analyzes the influence of intensity of the longitudinal and transverse wind effects on its loading, using universal mathematical models for investigating of the dynamics of a hydraulic crane boom when moving units. The authors showed that the wind load not only causes additional stresses in structural elements, but also affects the kinematic and dynamic motion parameters of links articulated boom crane.
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BEREC, LUDĚK. "MODELS OF ALLEE EFFECTS AND THEIR IMPLICATIONS FOR POPULATION AND COMMUNITY DYNAMICS." Biophysical Reviews and Letters 03, no. 01n02 (April 2008): 157–81. http://dx.doi.org/10.1142/s1793048008000678.

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Allee effects are broadly defined as a decline in individual fitness at low population sizes or densities. Although the roots of the concept go back at least to 1920's, until recently, Allee effects eked out on the periphery of ecological theory, in the shade of the prominently discussed negative density dependence. The situation has changed dramatically in the last ten years or so, and we can find an ever increasing number of studies considering Allee effects from an ever increasing range of disciplines. Mathematical models have always been an important tool by which to assess impacts of Allee effects for population and community dynamics. Actually, much of what we know about Allee effects comes from mathematical models. Up to now, Allee effects have been examined in the context of most existing model structures, and significantly altered our picture of population and community dynamics based on assuming negative density dependence only.
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Grigorov, Otto, Evgenij Druzhynin, Galina Anishchenko, Marjana Strizhak, and Vsevolod Strizhak. "Analysis of Various Approaches to Modeling of Dynamics of Lifting-Transport Vehicles." International Journal of Engineering & Technology 7, no. 4.3 (September 15, 2018): 64. http://dx.doi.org/10.14419/ijet.v7i4.3.19553.

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The results of analytical and numerical modeling of dynamic characteristics of linear and non-linear mathematical models of the “trolley-load” system of bridge and container cranes are presented. KiDyM software complex is used for numerical modeling, which, based on the use of the apparatus of structural matrices and the built-in computer algebra system, allows the construction of ordinary differential equations of motion of the class of systems under consideration at the analytical level. Recommendations on the possible use of the considered mathematical models of the “trolley-load” system in various regular and forced operation modes of bridge and container cranes are given on the basis of the analysis. The ratio of the results of calculations for various design models of regular and forced operation of the bridge crane has been established. The magnitude of the distribution of the maximum values of the dynamic characteristics of motion of the container crane has been designed by calculating the forced operation mode using various mathematical models.
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Dissertations / Theses on the topic "Structural dynamics – Mathematical models"

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鄭定陽 and Dingyang Zheng. "Vibration and stability analysis of plate-type structures under movingloads by analytical and numercial methods." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1999. http://hub.hku.hk/bib/B31239791.

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Hang, Huajiang Engineering &amp Information Technology Australian Defence Force Academy UNSW. "Prediction of the effects of distributed structural modification on the dynamic response of structures." Awarded by:University of New South Wales - Australian Defence Force Academy. Engineering & Information Technology, 2009. http://handle.unsw.edu.au/1959.4/44275.

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The aim of this study is to investigate means of efficiently assessing the effects of distributed structural modification on the dynamic properties of a complex structure. The helicopter structure is normally designed to avoid resonance at the main rotor rotational frequency. However, very often military helicopters have to be modified (such as to carry a different weapon system or an additional fuel tank) to fulfill operational requirements. Any modification to a helicopter structure has the potential of changing its resonance frequencies and mode shapes. The dynamic properties of the modified structure can be determined by experimental testing or numerical simulation, both of which are complex, expensive and time-consuming. Assuming that the original dynamic characteristics are already established and that the modification is a relatively simple attachment such as beam or plate modification, the modified dynamic properties may be determined numerically without solving the equations of motion of the full-modified structure. The frequency response functions (FRFs) of the modified structure can be computed by coupling the original FRFs and a delta dynamic stiffness matrix for the modification introduced. The validity of this approach is investigated by applying it to several cases, 1) 1D structure with structural modification but no change in the number of degree of freedom (DOFs). A simply supported beam with double thickness in the middle section is treated as an example for this case; 2) 1D structure with additional DOFs. A cantilever beam to which a smaller beam is attached is treated as an example for this case, 3) 2D structure with a reduction in DOFs. A four-edge-clamped plate with a cut-out in the centre is treated as an example for this case; and 4) 3D structure with additional DOFs. A box frame with a plate attached to it as structural modification with additional DOFs and combination of different structures. The original FRFs were obtained numerically and experimentally except for the first case. The delta dynamic stiffness matrix was determined numerically by modelling the part of the modified structure including the modifying structure and part of the original structure at the same location. The FRFs of the modified structure were then computed. Good agreement is obtained by comparing the results to the FRFs of the modified structure determined experimentally as well as by numerical modelling of the complete modified structure.
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DITOLLA, ROBERT JOHN. "RANDOM VIBRATION ANALYSIS BY THE POWER SPECTRUM AND RESPONSE SPECTRUM METHODS (WHITE NOISE, FINITE-ELEMENT, VANMARCKE, DENSITY, NASTRAN)." Diss., The University of Arizona, 1986. http://hdl.handle.net/10150/183836.

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Determination of the stresses and displacements which occur in response to random excitations cannot be accomplished by traditional deterministic analysis methods. As the specification of the excitation and the response of the structure become more complex, solutions by direct, closed-form methods require extensive computations. Two methods are presented which can be used in the analysis of structures which are subjected to random excitations. The Power Spectrum Method is a procedure which determines the random vibration response of the structure based upon a frequency response analysis of a structural model. The Response Spectrum Method is a method which is based upon specified forces or displacements as a function of time. A derivation of each of the methods is presented and followed by comparisons of the results which were obtained for single and multiple-degree-of-freedom systems. Assumptions and limitations of the methods are discussed as well as their accuracy over ranges of frequency, damping and loading specification. As a direct application and comparison of the two methods, an analysis of the support system for the primary mirror of the Space Infrared Telescope Facility (SIRTF) has been performed. In addition, a method for the evaluation of the critical damping in a single-degree-of-freedom structure is demonstrated.
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Burnham, Christian James. "Structural and dynamical properties of mathematical water models." Thesis, University of Salford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299208.

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Lindholm, Brian Eric. "Reconciliation of a Rayleigh-Ritz beam model with experimental data." Thesis, This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-06102009-063201/.

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Stiles, Peter A. "Improvement of structural dynamic models via system identification." Thesis, Virginia Tech, 1988. http://hdl.handle.net/10919/44086.

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Proper mathematical models of structures are beneficial for designers and analysts. The accuracy of the results is essential. Therefore, verification and/or correction of the models is vital. This can be done by utilizing experimental results or other analytical solutions. There are different methods of generating the accurate mathematical models. These methods range from completely analytically derived models, completely experimentally derived models, to a combination of the two. These model generation procedures are called System Identification. Today a popular method is to create an analytical model as accurately as possible and then improve this model using experimental results. This thesis provides a review of System Identification methods as applied to vibrating structures. One simple method and three more complex methods, chosen from current engineering literature, are implemented on the computer. These methods offer the capability to correct a discrete (for example, finite element based) model through the use of experimental measurements. The validity of the methods is checked on a two degree of freedom problem, an eight degree of freedom example frequently used in the literature, and with experimentally derived vibration results of a free-free beam.
Master of Science
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Montgomery, David Eric. "Modeling and visualization of laser-based three-dimensional experimental spatial dynamic response." Diss., This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-10052007-143439/.

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Borges, Rutz Ricardo. "Mathematical models of physiologically structured cell populations." Doctoral thesis, Universitat Autònoma de Barcelona, 2012. http://hdl.handle.net/10803/96187.

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En aquesta tesi es té en compte un model no lineal de creixement de població de cèl·lules que s'estructuren pel seu contingut de ciclina i cinases depenents de ciclina (CDK). Aquest model condueix a un sistema no lineal d'equacions en derivades parcials de primer ordre amb termes no locals. Per estudiar aquest sistema utilitzem la teoria de semigrups lineals positius i la formulació semilineal, que són eines molt poderoses per fer front a l'anàlisi d'aquest tipus de models, tant des del punt de vista del problema de valor inicial, com de l'existència i l'estabilitat d'estats estacionaris. El model que es considera a la tesi descriu la següent situació biològica: les cèl·lules s'estructuren en relació amb el contingut d'un determinat grup de proteïnes anomenades ciclines i CDK i es divideixen en dos tipus: proliferants i quiescents. Les cèl·lules proliferants creixen i es divideixen, donant a lloc al final del cicle cel·lular a noves cèl·lules, o bé van cap al compartiment de les quiescents, mentre que les cèl·lules quiescents no envelleixen ni es divideixen, ni canvien el seu contingut de ciclina, però o tornen cap al compartiment de proliferació o bé romanen en l’estat de repòs. D'altra banda, tant les cèl·lules proliferants com les quiescents poden experimentar l'apoptosi, la mort cel·lular programada. L'únic terme no lineal en el model és un terme de reclutament de cèl·lules quiescents cap a la fase de proliferació. En aquest treball demostrem l'existència global, unicitat i positivitat de les solucions del problema de valor inicial. Reescrivint el nostre sistema en una forma abstracta podem demostrar que un cert operador lineal és el generador infinitesimal d'un semigrup positiu fortament continu. D'altra banda s'utilitza la formulació semilineal estàndard per a l’equació no lineal abstracta i obtenim una única solució global positiva per a qualsevol condició inicial positiva a L1. També es prova l'existència i unicitat d'un estat estacionari no trivial del nostre sistema sota hipòtesis adequades. Com es fa sovint en situacions similars, el problema és relacionat amb provar l'existència (i unicitat) d'un vector propi positiu normalitzat. Això correspon als vectors propis del valor propi dominant d'un determinat operador lineal positiu parametritzat pel valor de la variable de feedback. L'existència tant del valor propi dominant i de (l’únic) vector propi positiu està donat per una versió del teorema de Perron- Frobenius en dimensió infinita. També s’inclouen simulacions numèriques basades en la integració al llarg de les línies característiques. Amb l'ajuda d'aquestes simulacions numèriques trobem inestabilitat de l'estat estacionari per a valors de paràmetres compatibles amb els que donen inestabilitat en el model de dimensió finita. També s'inclou la demostració de l'existència de solucions independents del contingut de ciclina per a una elecció molt particular dels valors dels paràmetres i funcions que defineixen el model. Finalment s'utilitza la formulació anomenada cumulativa (o en retard) de la dinàmica de poblacións estructurades. En particular s'ha considerat una versió diferent del model estudiat abans, on es suposa que el pas de proliferants a quiescents només pot ocórrer una sola vegada, enfocament oposat al primer model on aquestes transicions poden ocórrer infinites vegades. A més a més, també suposem que hi ha un valor particular x del contingut de ciclina que separa les cèl·lules que encara no es poden dividir de les altres que sí que poden dividir-se. L'equació del model resulta ser una equació amb retard que relaciona els valors actuals d'aquestes variables amb la seva història (el seu valor en el passat). Fent servir aquest enfocament, es pot provar l'existència i unicitat de solucions del problema de valor inicial, i el principi d'estabilitat lineal a través d'una formulació semilineal en el marc dels semigrups duals.
In this thesis we consider a nonlinear cell population model where cells are structured with respect to the content of cyclin and cyclin dependent kinases (CDK). This model leads to a first order nonlinear partial differential equations system with non local terms. To study this system we use the theory of positive linear semigroups and the semilinear formulation, which are very powerful tools to deal with the analysis of this kind of models, both from the point of view of the initial value problem as well as the existence and stability of steady states. The model considered in the thesis describes the following biological situation: cells are structured with respect to the content of a certain group of proteins called cyclin and CDK and are distributed into two types: proliferating and quiescent cells. The proliferating cells grow and divide, giving birth at the end of the cell cycle to new cells, or else transit to the quiescent compartment, whereas quiescent cells do not age nor divide nor change their cyclin content but either transit back to the proliferating compartment or else stay in the quiescent compartment. Moreover, both proliferating and quiescent cells may experiment apoptosis, i.e. programmed cell death. The only nonlinear term is a recruitment term of quiescent cells going back to the proliferating phase. In this work we start proving global existence, uniqueness and positiveness of the solutions of the initial value problem. We rewrite our system in an abstract form and show that some linear operator is the infinitesimal generator of a positive strongly continuous semigroup. On the other hand we use the standard semilinear formulation for the nonlinear (abstract) equation and obtain a unique global positive solution for any positive initial condition in L1. We also prove the existence and uniqueness of a nontrivial steady state of our system under suitable hypotheses. As it is often done in similar situations, the problem is related to proving the existence (and uniqueness) of a positive normalized eigenvector. This eigenvector corresponds to the dominant eigenvalue of a certain positive linear operator parameterized by the value of the (one dimensional) feedback variable G. The existence of both dominant eigenvalue and (unique) positive eigenvector is given by a version of the infinite dimensional Perron-Frobenius theorem. We include numerical simulations based on the integration along characteristic lines. With the help of these numerical simulations we find instability of the steady state for parameter values compatible with the ones which give instability in the finite dimensional model. We also include a computation showing the existence of cyclin-independent solutions for a very particular choice of the parameter values and functions defining the model. Finally we use the so-called cumulative or delayed formulation of the structured population dynamics. In particular we have considered a different version of the model studied before, where one assumes that proliferating cells can become quiescent only once opposed to the other approach where these transitions can occur infinitely many times and moreover, we also assume that there is a particular value x of the cyclin content that separates cells which still cannot divide from the others which are able to divide. The model equation turns out to be a delay equation relating the current values of these variables with their history (their value in the past). Using this approach, one can prove existence and uniqueness of solutions of the initial value problem, and the linear stability principle by means of a semi-linear formulation in the framework of dual semigroups.
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Yu, Albert Chun-ming. "The dynamics of capital structure choice." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/24408.

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This thesis employs two-period state-contingent model based upon the "tax shield plus bankruptcy costs" approach to examine the dynamic capital structure decision. By allowing recapitalization at the end of period one, we can analyse the dynamics of the firm's capital structure choice. Also, the effect of a call provision on bonds can be examined. Simulated results show that the firm will recapitalize at the end of period one only if the gain in firm value, with- or ex-dividend, resulting from recapitalization exceeds the after-tax flotation costs. There exists a tolerable recapitalization boundary within which the firm will not recapitalize. This implies that the empirically observed capital structure is not necessarily at the acme of the firm value function, as most empirical studies assume. Another important result is that a call provision on bonds may be wealth reducing; the call provision may reduce the wealth of shareholders by inducing recapitalization in states which is suboptimal if there is no call provision, and incurs flotation costs which could have been avoided. The gain in firm value resulting from recapitalization may be too small to justify the extra flotation costs and thus reduces the overall firm value.
Business, Sauder School of
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Chang, Min-Yung. "Active vibration control of composite structures." Diss., This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-09162005-115021/.

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Books on the topic "Structural dynamics – Mathematical models"

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Andrew, Kurdila, and Craig Roy R. 1934-, eds. Fundamentals of structural dynamics. 2nd ed. Hoboken, NJ: John Wiley, 2006.

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1954-, Yoneda Masahiro, ed. Ōyō shindōgaku: Applied structural dynamics. Tōkyō-to Bunkyō-ku: Koronasha, 2013.

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Gaudenzi, Paolo. Smart structures: Physical behaviour, mathematical modelling and applications. Chichester, U.K: Wiley, 2009.

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Mukhopadhyay, Madhujit. Vibrations, dynamics and structural systems. 2nd ed. Rotterdam: A. A. Balkema, 2000.

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Lee, Usik. Spectral element method in structural dynamics. Singapore: J. Wiley & Sons Asia, 2009.

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Kōzōbutsu no shisutemu seigyo: Control theory of structural systems. Tōkyō-to Chiyoda-ku: Morikita Shuppan, 2013.

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Friswell, M. I. Finite element model updating in structural dynamics. Dordrecht: Kluwer Academic Publishers, 1995.

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Finite models and methods of dynamics in structures. Amsterdam: Elsevier, 1990.

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Norris, Mark A. On the problem of modeling for parameter identification in distributed structures. Blacksburg, VA: Dept. of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, 1988.

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Pawlikowski, Jan. Oddziaływania stałe i zmienne na konstrukcje budynków: Permanent and variable actions on buildings structures. Warszawa: Wydawnictwa Instytutu Techniki Budowlanej, 2010.

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Book chapters on the topic "Structural dynamics – Mathematical models"

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Saccomani, Maria Pia, and Karl Thomaseth. "Structural vs Practical Identifiability of Nonlinear Differential Equation Models in Systems Biology." In Dynamics of Mathematical Models in Biology, 31–41. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45723-9_3.

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Castillo-Chavez, Carlos. "Some Applications of Structured Models in Population Dynamics." In Applied Mathematical Ecology, 450–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61317-3_19.

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Li, Jia, and Fred Brauer. "Continuous-Time Age-Structured Models in Population Dynamics and Epidemiology." In Mathematical Epidemiology, 205–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78911-6_9.

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Dunn, S. A. "Genetic Algorithm Optimisation of Mathematical Models — An Aircraft Structural Dynamics Case Study." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), 197–210. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-44873-0_15.

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Awrejcewicz, Jan, and Vadim A. Krysko. "Mathematical Models of Chaotic Vibrations of Closed Cylindrical Shells with Circle Cross Section." In Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members, 451–78. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37663-5_11.

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Awrejcewicz, Jan, and Vadim A. Krysko. "Mathematical Model of Cylindrical/Spherical Shell Vibrations." In Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members, 415–38. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37663-5_9.

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Delitala, Marcello, Tommaso Lorenzi, and Matteo Melensi. "A Structured Population Model of Competition Between Cancer Cells and T Cells Under Immunotherapy." In Mathematical Models of Tumor-Immune System Dynamics, 47–58. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1793-8_3.

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Leonov, G. A., and N. V. Kondrat’eva. "Electromechanical and Mathematical Models of Salient-Pole Synchronous Motors." In Advanced Dynamics and Model-Based Control of Structures and Machines, 143–50. Vienna: Springer Vienna, 2011. http://dx.doi.org/10.1007/978-3-7091-0797-3_17.

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Resta, Ferruccio, Edoardo Sabbioni, Davide Tarsitano, Dino Deva, Daniele Termini, and Alvaro Fumi. "Development of a Mathematical Model to Design the Control Strategy of a Full Scale Roller-Rig." In Special Topics in Structural Dynamics, Volume 6, 189–97. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53841-9_17.

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Rahali, Yosra, Hilal Reda, Benoit Vieille, Hassan Lakiss, and Jean-François Ganghoffer. "Second Gradient Linear and Nonlinear Constitutive Models of Architectured Materials: Static and Dynamic Behaviors." In Mathematical Applications in Continuum and Structural Mechanics, 53–71. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-42707-8_4.

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Conference papers on the topic "Structural dynamics – Mathematical models"

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STAVRINIDIS, C., and A. NEWERLA. "Generation of simplified spacecraft mathematical models with equivalent dynamic characteristics for launcher/spacecraft coupled dynamic loads analysis." In 31st Structures, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-1046.

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Allaei, D. "Mathematical model of structures carrying attached or embedded intelligent devices." In 35th Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-1468.

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Lerch, Christopher, and Christian Helmut Meyer. "Parametric Nonlinear Model Reduction for Structural Dynamics." In 9th Vienna Conference on Mathematical Modelling. ARGESIM Publisher Vienna, 2018. http://dx.doi.org/10.11128/arep.55.a55265.

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Phoenix, S., and Pappu Murthy. "Pros and Cons of Proof Testing Carbon Composite Overwrapped Pressure Vessels: A Comparison of Two Mathematical Models." In 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-2325.

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Kim, Hyeong-Jin, and David G. Lilley. "Review of Basic Models in Fire Dynamics." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1654.

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Abstract The ultimate goal of this study is to improve scientific understanding of fire behavior leading to flashover in structural fires. This document summarizes important information in five topic areas: burning rates, radiant ignition, fire spread rates, ventilation limit imposed by size of opening, and flashover criteria. These are the main components related to the scientific understanding of the fire growth and flashover problem involved in real-world structural fires. Within each topic area, there are four subsections dealing with background, theory, comments, and references. Main components of the study are to develop improved mathematical simulations so as to improve the accuracy of theoretical calculation and to develop and extend the range of knowledge and modeling capability so as to extend the range of available experimental data.
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Nichol, Kurt L., Mark D. Sensmeier, and Thomas F. Tibbals. "Assessment of Turbine Engine Structural Integrity Using the Structural Dynamic Response Analysis Code (SDRAC)." In ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/99-gt-410.

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AEDC has developed a model-based analysis tool that merges real time processed dynamic engine vibration data with finite element models (FEM) and pretest analysis results. The tool, called the Structural Dynamics Response Analysis Capability, or SDRAC, performs this merge, displays the analysis results via an interactive graphical user interface (GUI) and presents an assessment of structural capability in real time. The tool also features a model modification routine to insure that the mathematical simulation adequately reflects results from the test. The adequacy of the simulation is displayed via error measures.
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Yu, Wenbin, and Lin Liao. "Mathematical Construction of a Fully-Coupled Engineering Model for Composite Piezoelectric Plates." In 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-2036.

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Henry, Janisa, and Darryll Pines. "A Mathematical Model for Roll Dynamics by Use of a Morphing-Span Wing." In 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-1708.

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Wickramasinghe, I. P. M., and Jordan M. Berg. "Mathematical Modeling of Electrostatic MEMS Actuators: A Review." In ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4299.

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This review examines recent results on analytical modeling of electrostatic MEMS. Such modeling can include multiple coupled physics domains, including electrostatic forces, and lumped circuit models, structural elasticity, rigid body dynamics, or fluid mechanics. This review focuses on analytical models that provide the benefits of a closed-form expression trade rather than strive for the highest degree of accuracy for. Such models have been used successfully for parametric design, synthesis of dynamical models, and development of control laws. This review considers the role of mathematical modeling in several traditional and emerging areas for electrostatic MEMS: 1) analysis of pull-in, 2) effects of parasitics, 3) parametric resonance, 4) movable gate transistor or NEMFETs, and 5) repulsive actuation.
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Grevtsev, Aleksandr, Karine Abgaryan, and Dmitriy Bajanov. "DEVELOPMENT OF A FUNCTIONAL BASED ON TERSOFF POTENTIAL TO MODEL THE PROPERTIES OF OXIDES." In Mathematical modeling in materials science of electronic component. LLC MAKS Press, 2020. http://dx.doi.org/10.29003/m1522.mmmsec-2020/71-74.

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Reports on the topic "Structural dynamics – Mathematical models"

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Chen, Xiaojun, Hailin Sun, and Roger J. Wets. Regularized Mathematical Programs with Stochastic Equilibrium Constraints: Estimating Structural Demand Models. Fort Belvoir, VA: Defense Technical Information Center, July 2013. http://dx.doi.org/10.21236/ada609521.

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Romero-Chamorro, José Vicente, and Sara Naranjo-Saldarriaga. Weather Shocks and Inflation Expectations in Semi-Structural Models. Banco de la República Colombia, November 2022. http://dx.doi.org/10.32468/be.1218.

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Colombia is particularly affected by the El Niño Southern Oscillation (ENSO) weather fluctuations. In this context, this study explores how the adverse weather events linked to ENSO affect the inflation expectations in Colombia and how to incorporate these second-round effects into a small open economy New Keynesian model. Using BVARx models we provide evidence that the inflation expectations obtained from surveys and break-even inflation measures are affected by weather supply shocks. Later, using this stylised fact, we modify one of the core forecasting models of the Banco de la República by incorporating the mechanisms in which weather-related shocks affect marginal costs and inflation expectations. We find that ENSO shocks had an important role in both inflation and the dynamics of inflation expectations, and that policymakers should consider this fact.
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Oden, J. T. Computational Methods for Nonlinear Dynamics Problems in Solid and Structural Mechanics: Models of Dynamic Frictional Phenomena in Metallic Structures. Fort Belvoir, VA: Defense Technical Information Center, March 1986. http://dx.doi.org/10.21236/ada174585.

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Tucker-Blackmon, Angelicque. Engagement in Engineering Pathways “E-PATH” An Initiative to Retain Non-Traditional Students in Engineering Year Three Summative External Evaluation Report. Innovative Learning Center, LLC, July 2020. http://dx.doi.org/10.52012/tyob9090.

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The summative external evaluation report described the program's impact on faculty and students participating in recitation sessions and active teaching professional development sessions over two years. Student persistence and retention in engineering courses continue to be a challenge in undergraduate education, especially for students underrepresented in engineering disciplines. The program's goal was to use peer-facilitated instruction in core engineering courses known to have high attrition rates to retain underrepresented students, especially women, in engineering to diversify and broaden engineering participation. Knowledge generated around using peer-facilitated instruction at two-year colleges can improve underrepresented students' success and participation in engineering across a broad range of institutions. Students in the program participated in peer-facilitated recitation sessions linked to fundamental engineering courses, such as engineering analysis, statics, and dynamics. These courses have the highest failure rate among women and underrepresented minority students. As a mixed-methods evaluation study, student engagement was measured as students' comfort with asking questions, collaboration with peers, and applying mathematics concepts. SPSS was used to analyze pre-and post-surveys for statistical significance. Qualitative data were collected through classroom observations and focus group sessions with recitation leaders. Semi-structured interviews were conducted with faculty members and students to understand their experiences in the program. Findings revealed that women students had marginalization and intimidation perceptions primarily from courses with significantly more men than women. However, they shared numerous strategies that could support them towards success through the engineering pathway. Women and underrepresented students perceived that they did not have a network of peers and faculty as role models to identify within engineering disciplines. The recitation sessions had a positive social impact on Hispanic women. As opportunities to collaborate increased, Hispanic womens' social engagement was expected to increase. This social engagement level has already been predicted to increase women students' persistence and retention in engineering and result in them not leaving the engineering pathway. An analysis of quantitative survey data from students in the three engineering courses revealed a significant effect of race and ethnicity for comfort in asking questions in class, collaborating with peers outside the classroom, and applying mathematical concepts. Further examination of this effect for comfort with asking questions in class revealed that comfort asking questions was driven by one or two extreme post-test scores of Asian students. A follow-up ANOVA for this item revealed that Asian women reported feeling excluded in the classroom. However, it was difficult to determine whether these differences are stable given the small sample size for students identifying as Asian. Furthermore, gender differences were significant for comfort in communicating with professors and peers. Overall, women reported less comfort communicating with their professors than men. Results from student metrics will inform faculty professional development efforts to increase faculty support and maximize student engagement, persistence, and retention in engineering courses at community colleges. Summative results from this project could inform the national STEM community about recitation support to further improve undergraduate engineering learning and educational research.
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Modlo, Yevhenii O., Serhiy O. Semerikov, Ruslan P. Shajda, Stanislav T. Tolmachev, and Oksana M. Markova. Methods of using mobile Internet devices in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3878.

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The article describes the components of methods of using mobile Internet devices in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects: using various methods of representing models; solving professional problems using ICT; competence in electric machines and critical thinking. On the content of learning academic disciplines “Higher mathematics”, “Automatic control theory”, “Modeling of electromechanical systems”, “Electrical machines” features of use are disclosed for Scilab, SageCell, Google Sheets, Xcos on Cloud in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects. It is concluded that it is advisable to use the following software for mobile Internet devices: a cloud-based spreadsheets as modeling tools (including neural networks), a visual modeling systems as a means of structural modeling of technical objects; a mobile computer mathematical system used at all stages of modeling; a mobile communication tools for organizing joint modeling activities.
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Perdigão, Rui A. P., and Julia Hall. Spatiotemporal Causality and Predictability Beyond Recurrence Collapse in Complex Coevolutionary Systems. Meteoceanics, November 2020. http://dx.doi.org/10.46337/201111.

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Causality and Predictability of Complex Systems pose fundamental challenges even under well-defined structural stochastic-dynamic conditions where the laws of motion and system symmetries are known. However, the edifice of complexity can be profoundly transformed by structural-functional coevolution and non-recurrent elusive mechanisms changing the very same invariants of motion that had been taken for granted. This leads to recurrence collapse and memory loss, precluding the ability of traditional stochastic-dynamic and information-theoretic metrics to provide reliable information about the non-recurrent emergence of fundamental new properties absent from the a priori kinematic geometric and statistical features. Unveiling causal mechanisms and eliciting system dynamic predictability under such challenging conditions is not only a fundamental problem in mathematical and statistical physics, but also one of critical importance to dynamic modelling, risk assessment and decision support e.g. regarding non-recurrent critical transitions and extreme events. In order to address these challenges, generalized metrics in non-ergodic information physics are hereby introduced for unveiling elusive dynamics, causality and predictability of complex dynamical systems undergoing far-from-equilibrium structural-functional coevolution. With these methodological developments at hand, hidden dynamic information is hereby brought out and explicitly quantified even beyond post-critical regime collapse, long after statistical information is lost. The added causal insights and operational predictive value are further highlighted by evaluating the new information metrics among statistically independent variables, where traditional techniques therefore find no information links. Notwithstanding the factorability of the distributions associated to the aforementioned independent variables, synergistic and redundant information are found to emerge from microphysical, event-scale codependencies in far-from-equilibrium nonlinear statistical mechanics. The findings are illustrated to shed light onto fundamental causal mechanisms and unveil elusive dynamic predictability of non-recurrent critical transitions and extreme events across multiscale hydro-climatic problems.
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Beirne, John, and Eric Sugandi. Risk-Off Shocks and Spillovers in Safe Havens. Asian Development Bank Institute, November 2022. http://dx.doi.org/10.56506/guux7790.

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We examine real and financial spillovers to safe haven financial flow destinations due to risk-off shocks in global financial markets. Using country-specific structural vector autoregression models over the period 1990 to 2021, we show that dynamics for Japan appear to be different to those of Switzerland and the United States in four main ways. First, in response to risk-off episodes over the estimation period, the yen real effective exchange rate appreciates sharply and significantly, with the effect persisting over time. Second, no significant effects on portfolio flows to Japan are found, in spite of the exchange rate effects, suggesting a rapid adjustment of financial markets to shifts in equilibrium exchange rates. Third, negative real spillovers from risk-off shocks appear to only apply to Japan with exchange rate appreciation exacerbating declines in GDP growth. Fourth, risk-off shocks do not have a statistically significant effect on domestic economic policy uncertainty in Japan, which may be related to the strong expectations priced in of overseas portfolio holdings repatriated back to Japan. Our findings have important implications for policy makers in safe haven destinations in managing domestic financial vulnerabilities associated with risk-off episodes.
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ANALYSIS OF TRANSIENT STRUCTURAL RESPONSES OF STEEL FRAMES WITH NONSYMMETRIC SECTIONS UNDER EARTHQUAKE MOTION. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.347.

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An accurate structural analysis is a fundamental requirement for modern design. Nevertheless, this is often difficult for systems comprised of nonsymmetric members, primarily because of their complicated cross-section shapes with non-coincidence of shear center and centroid and complex buckling modes. Recent research using efficient line-finite-element formulations has made significant progress in simulating the buckling behavior of arbitrary open-section members for static loads. This paper extends this method by providing for second-order dynamic analysis of nonsymmetric sectional members. The numerical algorithms, including mathematical derivations, are provided and thoroughly validated via their implementation within the nonlinear analysis program MASTAN2-v5.
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