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Автор: Grafiati
Опубліковано: 14 березня 2023

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Статті в журналах з теми "Nonlinear geometrical analysi"

1

Yin, Shuohui, Tiantang Yu, Tinh Quoc Bui, and Minh Ngoc Nguyen. "Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis." Engineering Computations 32, no. 2 (April 20, 2015): 519–58. http://dx.doi.org/10.1108/ec-09-2013-0220.

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Анотація:
Purpose – The purpose of this paper is to propose an efficient and accurate numerical model that employs isogeometric analysis (IGA) for the geometrically nonlinear analysis of functionally graded plates (FGPs). This model is utilized to investigate the effects of boundary conditions, gradient index, and geometric shape on the nonlinear responses of FGPs. Design/methodology/approach – A geometrically nonlinear analysis of thin and moderately thick functionally graded ceramic-metal plates based on IGA in conjunction with first-order shear deformation theory and von Kármán strains is presented. The displacement fields and geometric description are approximated with nonuniform rational B-splines (NURBS) basis functions. The Newton-Raphson iterative scheme is employed to solve the nonlinear equation system. Material properties are assumed to vary along the thickness direction with a power law distribution of the volume fraction of the constituents. Findings – The present model for analysis of the geometrically nonlinear behavior of thin and moderately thick FGPs exhibited high accuracy. The shear locking phenomenon is avoided without extra numerical efforts when cubic or high-order NURBS basis functions are utilized. Originality/value – This paper shows that IGA is particularly well suited for the geometrically nonlinear analysis of plates because of its exact geometrical modelling and high-order continuity.
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2

El Hantati, Issam, Ahmed Adri, Hatim Fakhreddine, Said Rifai, and Rhali Benamar. "Multimode Analysis of Geometrically Nonlinear Transverse Free and Forced Vibrations of Tapered Beams." Shock and Vibration 2022 (January 30, 2022): 1–22. http://dx.doi.org/10.1155/2022/8464255.

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In this study, the geometrically nonlinear free and forced vibrations of tapered beams are investigated on the basis of the Euler-Bernoulli beam theory and the von Karman geometric nonlinearity assumptions. The aim of the analysis is to determine tapered beams nonlinear frequencies and modes, and the associated stress distributions by means of bending moment diagrams. The linear problem is first solved. Then, to tackle the nonlinear problem, the displacement function is expanded as a series of the linear modes and the discrete expressions for the strain and kinetic energies are derived. Assuming a point excitation of the beam, the algebraic nonlinear system obtained based on Hamilton’s principle is solved by an approximate method. The effect of the geometric nonlinearity in both the free and forced cases was illustrated and discussed and the effect of the variation of various tapered beam geometrical parameters. The effect of varying the excitation level was also examined.
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3

ANCO, STEPHEN C. "GAUGE THEORY DEFORMATIONS AND NOVEL YANG–MILLS CHERN–SIMONS FIELD THEORIES WITH TORSION." International Journal of Geometric Methods in Modern Physics 01, no. 04 (August 2004): 493–544. http://dx.doi.org/10.1142/s0219887804000265.

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A basic problem of classical field theory, which has attracted growing attention over the past decade, is to find and classify all nonlinear deformations of linear abelian gauge theories. The physical interest in studying deformations is to address uniqueness of known nonlinear interactions of gauge fields and to look systematically for theoretical possibilities for new interactions. Mathematically, the study of deformations aims to understand the rigidity of the nonlinear structure of gauge field theories and to uncover new types of nonlinear geometrical structures. The first part of this paper summarizes and significantly elaborates a field-theoretic deformation method developed in earlier work. Some key contributions presented here are, firstly, that the determining equations for deformation terms are shown to have an elegant formulation using Lie derivatives in the jet space associated with the gauge field variables. Secondly, the obstructions (integrability conditions) that must be satisfied by lowest-order deformations terms for existence of a deformation to higher orders are explicitly identified. Most importantly, a universal geometrical structure common to a large class of nonlinear gauge theory examples is uncovered. This structure is derived geometrically from the deformed gauge symmetry and is characterized by a covariant derivative operator plus a nonlinear field strength, related through the curvature of the covariant derivative. The scope of these results encompasses Yang–Mills theory, Freedman–Townsend theory, and Einstein gravity theory, in addition to their many interesting types of novel generalizations that have been found in the past several years. The second part of the paper presents a new geometrical type of Yang–Mills generalization in three dimensions motivated from considering torsion in the context of nonlinear sigma models with Lie group targets (chiral theories). The generalization is derived by a deformation analysis of linear abelian Yang–Mills Chern–Simons gauge theory. Torsion is introduced geometrically through a duality with chiral models obtained from the chiral field form of self-dual (2+2) dimensional Yang–Mills theory under reduction to (2+1) dimensions. Field-theoretic and geometric features of the resulting nonlinear gauge theories with torsion are discussed.
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4

Nie, G. J., and Zheng Zhong. "The Elasto-Plastic and Geometrically Nonlinear Finite Element Model of Space Beam Considering Restraint Torsion." Key Engineering Materials 340-341 (June 2007): 335–40. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.335.

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Анотація:
A new elasto-plastic and geometrically nonlinear finite element model of space beam considering restraint torsion and the coupling effect of deformations is presented in this paper. The warping restraint torsion and the coupling effect of deformation are considered in the displacement formulation of arbitrary point on the space beam. The geometrical relationship of arbitrary point is derived according to the definition of Green strain. The elasto-plastic and geometrically nonlinear finite element model of space beam is derived using Updated Lagrange description. The effect of axial force, shearing force, biaxial bending moment, moment of torsion and bimoment is involved in the geometrical stiffness matrix of element. The yielding developments both across the section and along the axis of the member are taken into consideration by selecting Gauss points. The full historical nonlinear analysis is achieved using the method of load increment and modified Newton-Raphson method. The validity of the new model derived in this paper is proved by numerical example. This new model can be used in the elasto-plastic and geometrically nonlinear analysis of space beam structures constructed by the members of arbitrary cross section.
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5

BUENO, J. R., and D. D. LORIGGIO. "Analysis of second order effects: case study." Revista IBRACON de Estruturas e Materiais 9, no. 4 (August 2016): 494–501. http://dx.doi.org/10.1590/s1983-41952016000400002.

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Abstract This paper presents a nonlinear static analysis of a reinforced concrete plane frame. It has as main objective is to realize a global stability verification of a plane frame, by using geometric stiffness matrix. In order to obtain first and second order combined effects, equilibrium and kinematic relations were studied in the deformed geometric configuration. These results were obtained by using geometric stiffness matrix and multiplying horizontal forces by Gamma-Z coefficient. Both procedures disclosed very similar results in the study, indicating that Gamma-Z can be used to study equilibrium and kinematic relations in deformed geometrical configuration of the structure.
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6

Xu, R., D. X. Li, J. P. Jiang, and W. Liu. "Nonlinear Vibration Analysis of Membrane SAR Antenna Structure Adopting a Vector Form Intrinsic Finite Element." Journal of Mechanics 31, no. 3 (January 23, 2015): 269–77. http://dx.doi.org/10.1017/jmech.2014.97.

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ABSTRACTThis study adopted the Vector Form Intrinsic Finite Element (VFIFE) method to study the nonlinear vibration of the membrane SAR (Synthetic Aperture Radar) antenna structure. As the dynamic characteristic of the antenna is mainly determined by the support frame, it can be simplified as an axially loaded cantilever beam. The linear and geometrically nonlinear models of the axially loaded cantilever beam are established. The beam is modeled as discrete mass points which are connected by deformable elements through VFIFE method. A statics analysis is first presented to verify the VFIFE method. Then effects of the geometrical nonlinearity and axial load are investigated. It is believed that the presented study is valuable for better understanding the influences of the geometrical nonlinearity and axial load of the cantilever beam on the structural vibration characteristics.
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7

Liu, Mu Yu, and Feng Wang. "Geometrically Nonlinear Analysis of Long Span Composite Girder Cable-Stayed Bridge with Three Towers under Live Load." Applied Mechanics and Materials 34-35 (October 2010): 371–75. http://dx.doi.org/10.4028/www.scientific.net/amm.34-35.371.

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A comparison on geometrically nonlinear analysis of composite girder cable-stayed bridge is presented. The spatial nonlinear analysis model named double-girder is established, the geometrically nonlinear behavior of whole bridge is analyzed under dead load plus live load in normal service stage, the nonlinear analysis involves cable sag, large displacement and beam-column, the three nonlinear factors effect on internal force and deformation of side tower, main girder are investigated. The results show that the effect of geometric nonlinearity is small on bending moment and deformation of side tower, and also small on vertical deflection of main girders, but nonlinear effect is large on bending moment of main girders. Results obtained in this research and conclusions made provide valuable insight and guidelines for the design of composite girder cable-stayed bridge with three towers.
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8

Pavlos, G. P., M. A. Athanasiu, D. Kugiumtzis, N. Hatzigeorgiu, A. G. Rigas, and E. T. Sarris. "Nonlinear analysis of magnetospheric data Part I. Geometric characteristics of the AE index time series and comparison with nonlinear surrogate data." Nonlinear Processes in Geophysics 6, no. 1 (March 31, 1999): 51–65. http://dx.doi.org/10.5194/npg-6-51-1999.

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Abstract. A long AE index time series is used as a crucial magnetospheric quantity in order to study the underlying dynainics. For this purpose we utilize methods of nonlinear and chaotic analysis of time series. Two basic components of this analysis are the reconstruction of the experimental tiine series state space trajectory of the underlying process and the statistical testing of an null hypothesis. The null hypothesis against which the experimental time series are tested is that the observed AE index signal is generated by a linear stochastic signal possibly perturbed by a static nonlinear distortion. As dis ' ' ating statistics we use geometrical characteristics of the reconstructed state space (Part I, which is the work of this paper) and dynamical characteristics (Part II, which is the work a separate paper), and "nonlinear" surrogate data, generated by two different techniques which can mimic the original (AE index) signal. lie null hypothesis is tested for geometrical characteristics which are the dimension of the reconstructed trajectory and some new geometrical parameters introduced in this work for the efficient discrimination between the nonlinear stochastic surrogate data and the AE index. Finally, the estimated geometric characteristics of the magnetospheric AE index present new evidence about the nonlinear and low dimensional character of the underlying magnetospheric dynamics for the AE index.
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9

GU, Y. T. "GEOMETRICALLY NONLINEAR ANALYSIS OF MICROSWITCHES USING THE LOCAL MESHFREE METHOD." International Journal of Computational Methods 05, no. 04 (December 2008): 513–32. http://dx.doi.org/10.1142/s0219876208001601.

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In the modeling and simulation of microelectromechanical system (MEMS) devices, such as the microswitch, the large deformation or the geometrical nonlinearity should be considered. Due to the issue of mesh distortion, the finite element method (FEM) is not effective for this large deformation analysis. In this paper, a local meshfree formulation is developed for geometrically nonlinear analysis of MEMS devices. The moving least squares approximation (MLSA) is employed to construct the meshfree shape functions based on the arbitrarily distributed field nodes and the spline weight function. The discrete system of equations for two-dimensional MEMS analysis is obtained using the weighted local weak form, and based on the total Lagrangian (TL) approach, which refers all variables to the initial configuration. The Newton–Raphson iteration technique is used to get the final results. Several typical microswitches are simulated by the developed nonlinear local meshfree method. Some important parameters of these microswitches, e.g. the pull-in voltage, are studied. Compared with the experimental results and results obtained by linear analysis, nonlinear meshfree analysis of microswitches is accurate and efficient. It has demonstrated that the present nonlinear local meshfree formulation is very effective for geometrically nonlinear analysis of MEMS devices, because it totally avoids the issue of mesh distortion in the FEM.
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10

Karad, P. B., and P. V. Patel. "Geometric Nonlinear Analysis of RC Frame structure using Applied Element Method (AEM)." Proceedings of the 12th Structural Engineering Convention, SEC 2022: Themes 1-2 1, no. 1 (December 19, 2022): 245–50. http://dx.doi.org/10.38208/acp.v1.504.

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Reinforced Concrete (RC) structural elements having vast varieties of applications. Understanding the failure mechanism, deflection capacity beyond elastic limit is very important from the structural engineering point of view. Various RC structures are slender in nature which produces large deformations due to geometric nonlinearity. Nonlinear analysis of RC structures is very complex in nature and hence there is need of highly efficient numerical method. Applied Element Method (AEM) is a displacement-based method which can track highly nonlinear behavior of the structure i.e. crack initiation and propagation, element separation, rigid body motion of structural elements and total collapse process with the high accuracy. In this study, the aim of the geometrical nonlinear analysis is to predict the deflection of the RC structure at various loading interval. In this paper the results obtained using AEM are compared with the Finite Element Method (FEM) based results obtained using the ABAQUS software. It is observed that there is a close agreement between the results obtained using AEM and FEM which shows that, AEM can be used for the geometric nonlinear analysis of the structures effectively.
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Дисертації з теми "Nonlinear geometrical analysi"

1

Ruggerini, Andrea Walter <1988&gt. "Geometrically nonlinear analysis of thin-walled beams based on the Generalized Beam Theory." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amsdottorato.unibo.it/8497/7/Geometrically-nonlinear-GBT-beam-AndreaW-Ruggerini.pdf.

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The thesis addresses the geometrically nonlinear analysis of thin-walled beams by the Generalized Beam Theory ( GBT ). Starting from the recent literature, the linear theory is illustrated, along with some issues related to GBT finite element formulation. Potential benefits of using the GBT in design are exemplified with reference to the design of roofing systems. To assess the deterioration of member capacity due to cross-section distortion phenomena, the formulation of a geometrically nonlinear GBT is then pursued. The generalization of the GBT to the nonlinear context is performed by using the Implicit Corotational Method ( ICM ), devising a strategy to effectively apply the ICM when considering higher order deformation modes. Once, obtained, the nonlinear model has been implemented using a state-of-the-art mixed-stress finite element. The nonlinear finite element is then implemented starting from the linear GBT one. Extensive numerical results show the performance of the proposed approach in buckling and path-following analyses.
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2

Al-Qarra, H. H. "The geometrically nonlinear analysis of sandwich panels." Thesis, University of Southampton, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.373567.

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3

Jau, Jih Jih. "Geometrically nonlinear finite element analysis of space frames." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/54302.

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The displacement method of the finite element is adopted. Both the updated Lagrangian formulation and total Lagrangian formulation of a three-dimensional beam element is employed for large displacement and large rotation, but small strain analysis. A beam-column element or finite element can be used to model geometrically nonlinear behavior of space frames. The two element models are compared on the basis of their efficiency, accuracy, economy and limitations. An iterative approach, either Newton-Raphson iteration or modified Riks/Wempner iteration, is employed to trace the nonlinear equilibrium path. The latter can be used to perform postbuckling analysis.
Ph. D.
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4

Aydin, Ayhan. "Geometric Integrators For Coupled Nonlinear Schrodinger Equation." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605773/index.pdf.

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Multisymplectic integrators like Preissman and six-point schemes and a semi-explicit symplectic method are applied to the coupled nonlinear Schrö
dinger equations (CNLSE). Energy, momentum and additional conserved quantities are preserved by the multisymplectic integrators, which are shown using modified equations. The multisymplectic schemes are backward stable and non-dissipative. A semi-explicit method which is symplectic in the space variable and based on linear-nonlinear, even-odd splitting in time is derived. These methods are applied to the CNLSE with plane wave and soliton solutions for various combinations of the parameters of the equation. The numerical results confirm the excellent long time behavior of the conserved quantities and preservation of the shape of the soliton solutions in space and time.
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5

Benatti, Luca. "Monotonicity Formulas in Nonlinear Potential Theory and their geometric applications." Doctoral thesis, Università degli studi di Trento, 2022. http://hdl.handle.net/11572/346959.

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In the setting of Riemannian manifolds with nonnegative Ricci curvature, we provide geometric inequalities as consequences of the Monotonicity Formulas holding along the flow of the level sets of the p-capacitary potential. The work is divided into three parts. (1) In the first part, we describe the asymptotic behaviour of the p-capactitary potential in a natural class of Riemannian manifolds. (2) The second part is devoted to the proof of our Monotonicity-Rigidity Theorems. (3) In the last part, we apply the Monotonicity Theorems to obtain geometric inequalities, focusing on the Extended Minkowski Inequality.
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6

Madutujuh, Nathan. "Geometrically nonlinear analysis of plane trusses and plane frames." Master's thesis, This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-01262010-020134/.

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7

Huang, Chiung-Yu. "Geometrically nonlinear finite element analysis of a lattice dome." Thesis, Virginia Tech, 1989. http://hdl.handle.net/10919/44650.

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The geometry and the finite element method modelling of a lattice dome is presented. Linear analyses and geometrically nonlinear analyses of the dome are performed. In addition, a buckling load prediction method is studied and extended to the multiple load distributions. The results obtained from linear analyses are checked against the requirements of NDS, National Design Standard.
Master of Science

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8

SOAVE, NICOLA. "Variational and geometric methods for nonlinear differential equations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/49889.

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This thesis is devoted to the study of several problems arising in the field of nonlinear analysis. The work is divided in two parts: the first one concerns existence of oscillating solutions, in a suitable sense, for some nonlinear ODEs and PDEs, while the second one regards the study of qualitative properties, such as monotonicity and symmetry, for solutions to some elliptic problems in unbounded domains. Although the topics faced in this work can appear far away one from the other, the techniques employed in different chapters share several common features. In the firts part, the variational structure of the considered problems plays an essential role, and in particular we obtain existence of oscillating solutions by means of non-standard versions of the Nehari's method and of the Seifert's broken geodesics argument. In the second part, classical tools of geometric analysis, such as the moving planes method and the application of Liouville-type theorems, are used to prove 1-dimensional symmetry of solutions in different situations.
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9

Kwan, Herman Ho Ming. "Multilayer beam analysis including shear and geometric nonlinear effects." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/26711.

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This thesis presents an analysis and experimental verification for a multilayer beam in bending. The formulation of the theoretical analysis includes the combined effect of shear and geometric nonlinearity. From this formulation, a finite element program (CUBES) is developed. The experimental tests were done on multilayer, corrugated paper beams. Failure deflections and loads are thus obtained. The experimental results are reasonably predicted by the numerical results. Based upon this comparison, a maximum compressive stress is determined for the tested beam. Finally, design curves for the tested beam are drawn using the determined maximum compressive stress and the finite element program.
Applied Science, Faculty of
Civil Engineering, Department of
Graduate
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10

Wong, Chun-kuen, and 黃春權. "Symmetry reduction for geometric nonlinear analysis of space structures." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B31214721.

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Книги з теми "Nonlinear geometrical analysi"

1

Levy, Robert, and William R. Spillers. Analysis of Geometrically Nonlinear Structures. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0243-0.

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2

1934-, Spillers William R., ed. Analysis of geometrically nonlinear structures. New York: Chapman & Hall, 1995.

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3

1934-, Spillers William R., ed. Analysis of geometrically nonlinear structures. 2nd ed. Dordrecht: Kluwer Academic Publishers, 2003.

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4

R, Spillers William, ed. Analysis of Geometrically Nonlinear Structures. Dordrecht: Springer Netherlands, 2003.

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5

Reddy, J. N. Geometrically nonlinear analysis laminated elastic structures. [Washington, DC]: National Aeronautics and Space Administration, 1993.

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6

United States. National Aeronautics and Space Administration., ed. Interface technology for geometrically nonlinear analysis of multiple connected subdomains. [Reston, VA?]: American Institute of Aeronautics and Astronautics, 1997.

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7

United States. National Aeronautics and Space Administration., ed. Interface technology for geometrically nonlinear analysis of multiple connected subdomains. [Reston, VA?]: American Institute of Aeronautics and Astronautics, 1997.

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8

Reddy, J. N. A higher-order theory for geometrically nonlinear analysis of composite laminates. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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9

Reddy, J. N. A higher-order theory for geometrically nonlinear analysis of composite laminates. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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10

Reddy, J. N. A higher-order theory for geometrically nonlinear analysis of composite laminates. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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Частини книг з теми "Nonlinear geometrical analysi"

1

Zhang, Shun-Qi. "Geometrically Nonlinear Theories." In Nonlinear Analysis of Thin-Walled Smart Structures, 37–53. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-9857-9_3.

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2

Rust, Wilhelm. "Geometrically Nonlinear Behaviour." In Non-Linear Finite Element Analysis in Structural Mechanics, 17–85. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-13380-5_2.

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3

Mukhopadhyay, Madhujit, and Abdul Hamid Sheikh. "Geometrical Nonlinear Finite Element Analysis." In Matrix and Finite Element Analyses of Structures, 405–29. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08724-0_17.

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4

Shunmugaraj, P. "Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality." In Nonlinear Analysis, 61–107. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8_3.

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5

Levy, Robert, and William R. Spillers. "Nonlinear Analysis of Membranes." In Analysis of Geometrically Nonlinear Structures, 121–49. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0243-0_6.

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6

Levy, Robert, and William R. Spillers. "Nonlinear Analysis of Shells." In Analysis of Geometrically Nonlinear Structures, 205–37. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0243-0_9.

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Rautmann, Reimund. "A Geometric Approach to Dynamical Systems in ℝN." In Applied Nonlinear Analysis, 443–56. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/0-306-47096-9_30.

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Briskin, Ilya, and Evgueni M. Semenov. "Some Geometrical Properties of Rearrangement Invariant Spaces." In Recent Trends in Nonlinear Analysis, 47–54. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8411-2_6.

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Levy, Robert, and William R. Spillers. "Linear Structural Analysis." In Analysis of Geometrically Nonlinear Structures, 23–39. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0243-0_2.

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Levy, Robert, and William R. Spillers. "Nonlinear Analysis of Plane Frames." In Analysis of Geometrically Nonlinear Structures, 71–91. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0243-0_4.

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Тези доповідей конференцій з теми "Nonlinear geometrical analysi"

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Luther, G. G., M. S. Alber, J. E. Marsden, and J. M. Robbins. "Geometric Control of Harmonic Generation." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nwe.12.

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Анотація:
Theoretical treatments of three and four-wave interactions are typically based on the transformation q j = ρ j exp ( i ϕ j ) . Using the Manley-Rowe relations and the Hamiltonian, these systems are integrated in terms of elliptic functions [1]. A new approach, which ultimately leads to the same elliptic function solutions and is also based on the Hamiltonian structure, is introduced. It yields a useful geometric picture of wave interactions and simplifies the understanding and analysis of these processes. In doing so, it facilitates the development and optimization of control strategies for wave interactions such as quasi-phase-matching [1–3].
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2

Li, Pengfei, Fuquan Hu, Xuwei Wang, Zheng He, and Zhi Gang. "Small-Scaled Experimental Research on the Buckling of Steel Containment Under Axial Compression." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-67457.

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Focusing on the general and localized elastoplastic buckling of the cylindrical section of steel containment under axial pressure, nonlinear finite element method (FEM) and small-scaled experiments are applied to analysis. First, FEM analysis is conducted considering nonlinear items caused by geometric shape imperfection and elastoplastic constitutive model by the arc-length method RIKS procedure. Parameter sensitivity of the buckling is revealed. Then, small-scaled experiments are carried out. Buckles status is observed, and key geometrical parameters’ influence are found. The results show that cylindrical buckling under axial pressure is sensitive to geometrical parameters and imperfection. It is necessary to employ more realistic parameters to the FEM analysis via accurate geometrical measurement. This research has reference value for the design and fabrication of AP series steel containment vessel.
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3

Shen, Zheng-Wei, and Ji-Tao Wu. "Geometrically invariant watermarking based on nonlinear anisotropic diffusion." In 2011 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR 2011). IEEE, 2011. http://dx.doi.org/10.1109/icwapr.2011.6014511.

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Soares, Renata M., and Paulo B. Gonçalves. "Buckling and Nonlinear Analysis of Conoidal Shells." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59552.

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Slender shell structures described by ruled surfaces have been frequently used in civil engineering and, among these slender shells, conoidal shells are frequently favored as roofing units to cover large column-free areas due to their ease of construction, aesthetic value and structural efficiency. This work studies the nonlinear post-buckling behavior of a conoidal shell, using commercial finite element software ABAQUS®. The problem is geometrically nonlinear due to the shell strong geometric nonlinearity, especially in the case of shallow shells used in practical applications where quadratic nonlinearities play an important role. A detailed parametric analysis is conducted to show the influence of the shell geometry on the buckling loads and natural frequencies and, especially, on the nonlinear post-buckling behavior and stability.
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Capiez-Lernout, Evangéline, Christian Soize, and Moustapha Mbaye. "Computational Geometrically Nonlinear Vibration Analysis of Uncertain Mistuned Bladed Disks." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25072.

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The recent improvements in turbomachinery design requires the analysis of exceptional operating regime of bladed disks corresponding to geometrical nonlinear effects induced by the large displacements/deformations. In addition, the random nature of the mistuning has also to be modeled. First, a mean nonlinear reduced-order model of the tuned bladed disk is explicitly constructed in the context of the finite element method. The investigation is then devoted to the modeling of the mistuning through the nonparametric probabilistic approach extended to the nonlinear geometric context. The stochastic nonlinear equations are solved in the time domain using the Monte Carlo numerical simulation coupled with advanced arc-length methods adapted to high nonlinear response levels. Finally, the methodology is applied through a numerical example of a bladed disk and a nonlinear analysis is performed in both time and frequency domain.
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6

Chang, Fang, and Zhen-Hua Lu. "Air Suspension Performance Analysis using Nonlinear Geometrical Parameters Model." In SAE 2007 Commercial Vehicle Engineering Congress & Exhibition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2007. http://dx.doi.org/10.4271/2007-01-4270.

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Capiez-Lernout, Evangéline, Christian Soize, and Moustapha Mbaye. "Uncertainty Quantification for an Industrial Mistuned Bladed Disk With Geometrical Nonlinearities." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-42471.

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Recently, a methodology allowing a stochastic nonlinear reduced-order model to be constructed in the context of the nonlinear mistuning induced by geometric nonlinearities has been proposed. The present work is devoted to an industrial application for which the centrifugal stiffening due to rotational effects is also included. The nonlinear mistuned forced response is investigated in the time-domain by using a spatial cyclic load over a given excitation frequency range. The geometric nonlinear mistuned analysis is performed over the frequency range by using the Fast-Fourier Transform of the time response. A sensitivity analysis is conducted with respect to the load level, giving rise to secondary resonances, which appear outside the excitation frequency range and which can exhibit a particular sensitivity to uncertainties. Such new complex dynamical situation, induced by the coupling between the geometrical nonlinearities and the mistuning phenomenon, is analyzed in details.
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Bruns, Tyler, and Daniel Tortorelli. "Topology optimization of geometrically nonlinear structures and compliant mechanisms." In 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-4950.

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9

Akbarov, Surkay, Nazmiye Yahnioglu, and Esra Eylem Karatas. "Buckling Delamination of the Rectangular Orthotropic Thick Plate With an Edge Rectangular Crack." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24705.

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The buckling delamination problem for the rectangular plate made from composite (orthotropic) material is studied. It is supposed that the plate has a rectangular edge-crack and edge-surfaces of that have an initial infinitesimal imperfection. The development of this initial imperfection with an external compressive loading acting along the crack is studied in the framework of the three-dimensional geometrically nonlinear field equations of the elasticity theory of anisotropic bodies. For the determination of the values of the critical force the initial imperfection criterion is used. The corresponding boundary-value problems are solved by employing the boundary form perturbation techniques and the FEM. The influence of the material or geometrical parameters of the plate on the values of critical force is discussed.
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va, Fred, Vassili Toropov, and Andrej Polynkin. "Optimization of geometrically nonlinear shell structures using multi-meshing and adaptivity." In 5th Symposium on Multidisciplinary Analysis and Optimization. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-4361.

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Звіти організацій з теми "Nonlinear geometrical analysi"

1

Muhlestein, Michael, and Carl Hart. Geometric-acoustics analysis of singly scattered, nonlinearly evolving waves by circular cylinders. Engineer Research and Development Center (U.S.), October 2020. http://dx.doi.org/10.21079/11681/38521.

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Geometric acoustics, or acoustic ray theory, is used to analyze the scattering of high-amplitude acoustic waves incident upon rigid circular cylinders. Theoretical predictions of the nonlinear evolution of the scattered wave field are provided, as well as measures of the importance of accounting for nonlinearity. An analysis of scattering by many cylinders is also provided, though the effects of multiple scattering are not considered. Provided the characteristic nonlinear distortion length is much larger than a cylinder radius, the nonlinear evolution of the incident wave is shown to be of much greater importance to the overall evolution than the nonlinear evolution of the individual scattered waves.
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2

Blaha, Georges. Analysis of the Nonlinear Parametric Least-Squares Adjustment via an Isomorphic Geometrical Setup with Tensor Structure. Fort Belvoir, VA: Defense Technical Information Center, June 1988. http://dx.doi.org/10.21236/ada208219.

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3

NUMERICAL AND THEORETICAL STUDIES ON DOUBLE STEEL PLATE COMPOSITE WALLS UNDER COMPRESSION AT LOW TEMPERATURES. The Hong Kong Institute of Steel Construction, December 2021. http://dx.doi.org/10.18057/ijasc.2021.17.4.6.

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Double steel plate composite walls (DSCWs) with several unique types of connectors have been implemented to protect offshore oil exploration platforms from concentric forces caused by ice in the Arctic region. This paper investigates the compressive perfor-mance of DSCWs with interlocked J-hooks and overlapped headed studs at low temperatures ranging from 20 ℃ to -80 ℃ with nonlinear finite element models (FEMs). The intricate geometric size of the concrete, multiple interactions of the concrete with the connectors, and material nonlinearities of the concrete have been thoroughly simulated. The reasonable consistency between the results of the monotonic tests and finite element analysis (FEA) on nine DSCWs with interlocked J-hooks and seven DSCWs with overlapped headed studs indicates that the FEMs can effectively predict the compressive performance of the DSCWs at low temper-atures. On the basis of the validated FEMs, the effects of the horizontal and vertical spacing of the connectors on the compressive performance of the DSCWs are studied. Finally, theoretical models of the load-displacement curves are developed to reveal the compressive response of DSCWs at low temperatures with different types of connectors, taking into account the restraining effect of steel plates on the inner concrete and the local buckling of steel plates. Compared with previous tests and FEA, the developed theoretical models have reasonable consistency for the load-displacement curves of DSCWs at low temperatures.
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