Relevant bibliographies by topics / Higher order beam element

Academic literature on the topic 'Higher order beam element'

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Published: 14 March 2023

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Journal articles on the topic "Higher order beam element"

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Lim, Jae Kyoo, and Seok Yoon Han. "Development of Orthotropic Beam Element Using a Consistent Higher Order Deformation Theory." Key Engineering Materials 261-263 (April 2004): 519–24. http://dx.doi.org/10.4028/www.scientific.net/kem.261-263.519.

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In order to analyze beam structures more accurately and effectively, a two-node orthotropic beam element is proposed. This beam element is formulated using a consistent higher order deformation theory of orthotropic beams of which the transverse normal deformation can be effectively estimated. The stiffness matrix and the vector of equivalent nodal forces of the beam element are derived explicitly by the Galerkin method. In order to examine the reliability and the characteristics of the beam element, the analytical and the finite element solutions of a simple cantilevered beam are compared with each other. As a result, the following conclusions are obtained; (1) the accuracy of the suggested orthotropic beam element is very excellent and so the transverse normal deformation and shear stress of an orthotropic beam can be effectively estimated. (2) It can be used for accurately analyzing the general beam structures regardless of the Euler's or the Timoshenko's beam.
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Thom, Tran Thi, and Nguyen Dinh Kien. "FREE VIBRATION OF TWO-DIRECTIONAL FGM BEAMS USING A HIGHER-ORDER TIMOSHENKO BEAM ELEMENT." Vietnam Journal of Science and Technology 56, no. 3 (June 11, 2018): 380. http://dx.doi.org/10.15625/2525-2518/56/3/10754.

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Free vibration of two-directional functionally graded material (2-D FGM) beams is studied by the finite element method (FEM). The material properties are assumed to be graded in both the thickness and longitudinal directions by a power-law distribution. Equations of motion based on Timoshenko beam theory are derived from Hamilton's principle. A higher-order beam element using hierarchical functions to interpolate the displacements and rotation is formulated and employed in the analysis. In order to improve the efficiency of the element, the shear strain is constrained to constant. Validation of the derived element is confirmed by comparing the natural frequencies obtained in the present paper with the data available in the literature. Numerical investigations show that the proposed beam element is efficient, and it is capable to give accurate frequencies by a small number of elements. The effects of the material composition and aspect ratio on the vibration characteristics of the beams are examined in detail and highlighted.
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Nguyen, Dinh Kien, and Van Tuyen Bui. "Dynamic Analysis of Functionally Graded Timoshenko Beams in Thermal Environment Using a Higher-Order Hierarchical Beam Element." Mathematical Problems in Engineering 2017 (2017): 1–12. http://dx.doi.org/10.1155/2017/7025750.

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A higher-order finite beam element for free and forced vibration analysis of functionally graded Timoshenko beams in thermal environment is formulated by using hierarchical functions to interpolate the kinematic variables. The shear strain is constrained to constant to improve the efficiency of the element. The effect of environmental temperature is taken into account in the element derivation by considering that the material properties are temperature-dependent and the temperature is nonlinear distribution in the beam thickness. The accuracy of the derived formulation is confirmed by comparing the results obtained in the present work with the published data. Numerical investigations show that the formulated element is efficient, and it is capable of giving accurate vibration characteristics by a small number of elements. A parametric study is carried out to highlight the effect of the material inhomogeneity, temperature rise, and loading parameter on the dynamic behaviour of the beams. The influence of the aspect ratio on the dynamic behaviour of the beam is also examined and highlighted.
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Gara, Fabrizio, Sandro Carbonari, Graziano Leoni, and Luigino Dezi. "Finite Elements for Higher Order Steel–Concrete Composite Beams." Applied Sciences 11, no. 2 (January 8, 2021): 568. http://dx.doi.org/10.3390/app11020568.

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This paper presents finite elements for a higher order steel–concrete composite beam model developed for the analysis of bridge decks. The model accounts for the slab–girder partial interaction, the overall shear deformability, and the shear-lag phenomenon in steel and concrete components. The theoretical derivation of the solving balance conditions, in both weak and strong form, is firstly addressed. Then, three different finite elements are proposed, which are characterised by (i) linear interpolating functions, (ii) Hermitian polynomial interpolating functions, and (iii) interpolating functions, respectively, derived from the analytical solution expressed by means of exponential matrices. The performance of the finite elements is analysed in terms of the solution convergence rate for realistic steel–concrete composite beams with different restraints and loading conditions. Finally, the efficiency of the beam model is shown by comparing the results obtained with the proposed finite elements and those achieved with a refined 3D shell finite element model.
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Gara, Fabrizio, Sandro Carbonari, Graziano Leoni, and Luigino Dezi. "Finite Elements for Higher Order Steel–Concrete Composite Beams." Applied Sciences 11, no. 2 (January 8, 2021): 568. http://dx.doi.org/10.3390/app11020568.

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This paper presents finite elements for a higher order steel–concrete composite beam model developed for the analysis of bridge decks. The model accounts for the slab–girder partial interaction, the overall shear deformability, and the shear-lag phenomenon in steel and concrete components. The theoretical derivation of the solving balance conditions, in both weak and strong form, is firstly addressed. Then, three different finite elements are proposed, which are characterised by (i) linear interpolating functions, (ii) Hermitian polynomial interpolating functions, and (iii) interpolating functions, respectively, derived from the analytical solution expressed by means of exponential matrices. The performance of the finite elements is analysed in terms of the solution convergence rate for realistic steel–concrete composite beams with different restraints and loading conditions. Finally, the efficiency of the beam model is shown by comparing the results obtained with the proposed finite elements and those achieved with a refined 3D shell finite element model.
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Subramanian, G., and T. S. Balasubramanian. "A higher order element for stepped rotating beam vibration." Journal of Sound and Vibration 110, no. 1 (October 1986): 167–71. http://dx.doi.org/10.1016/s0022-460x(86)80087-6.

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Ferradi, Mohammed Khalil, Xavier Cespedes, and Mathieu Arquier. "A higher order beam finite element with warping eigenmodes." Engineering Structures 46 (January 2013): 748–62. http://dx.doi.org/10.1016/j.engstruct.2012.07.038.

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Kim, Jin Gon, and Yoon Young Kim. "A new higher-order hybrid-mixed curved beam element." International Journal for Numerical Methods in Engineering 43, no. 5 (November 15, 1998): 925–40. http://dx.doi.org/10.1002/(sici)1097-0207(19981115)43:5<925::aid-nme457>3.0.co;2-m.

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Marur, S. R., and T. Kant. "A Higher Order Finite Element Model for the Vibration Analysis of Laminated Beams." Journal of Vibration and Acoustics 120, no. 3 (July 1, 1998): 822–24. http://dx.doi.org/10.1115/1.2893903.

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A higher order displacement model based on a cubic axial strain, cubic transverse shear strain and quadratic transverse normal strain across the thickness of the beam, to model exactly the warping of the cross section is proposed which maintains zero stress at the top and bottom of the beam with out the aid of any shear correction factor. Numerical experiments carried out clearly bring out the efficacy of this model over the first order theory for laminated beams.
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Zhen, Wu, and Chen Wanji. "Interlaminar stress analysis of multilayered composites based on the Hu-Washizu variational theorem." Journal of Composite Materials 52, no. 13 (September 27, 2017): 1765–79. http://dx.doi.org/10.1177/0021998317733532.

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Up to date, accurate prediction of interlaminar stresses is still a challenging issue for two-node beam elements. The postprocessing approaches by integrating the three-dimensional equilibrium equation have to be used to obtain improved transverse shear stresses, whereas the equilibrium approach requires the first-order derivatives of in-plane stresses. In-plane stresses within two-node beam element are constant, so the first-derivatives of in-plane stresses are close to zero. Thus, two-node beam elements encounter difficulties for accurate prediction of transverse shear stresses by the constitutive equation or the equilibrium equation, so a robust two-node beam element is expected. A two-node beam element in terms of the global higher-order zig-zag model is firstly developed by employing the three-field Hu-Washizu mixed variational principle. By studying the effects of different boundary conditions, stacking sequence and loading on interlaminar stresses of multilayered composite beams, it is shown that the proposed two-node beam element yields more accurate results with lesser computational cost compared to various higher-order models. It is more important that accurate transverse shear stress has active impact on displacements and in-plane stresses of multilayered composite beams.
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Dissertations / Theses on the topic "Higher order beam element"

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Garbin, Turpaud Fernando, and Pachas Ángel Alfredo Lévano. "Higher-order non-local finite element bending analysis of functionally graded." Bachelor's thesis, Universidad Peruana de Ciencias Aplicadas (UPC), 2019. http://hdl.handle.net/10757/626024.

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La teoría de vigas de Timoshenko TBT y una teoría de alto orden IFSDT son formuladas utilizando las ecuaciones constitutivas no locales de Eringen. Se utilizaron ecuaciones constitutivas en 3D en el modelo IFSDT. Se utilizó una variación del material con el uso de materiales funcionalmente graduados a lo largo del peralte de una viga de sección rectangular. El principio de trabajos virtuales utilizado y ejemplos numéricos fueron presentados para comparar ambas teorías de vigas.
Timoshenko Beam Theory (TBT) and an Improved First Shear Deformation Theory (IFSDT) are reformulated using Eringen’s non-local constitutive equations. The use of 3D constitutive equation is presented in IFSDT. A material variation is made by the introduction of FGM power law in the elasticity modulus through the height of a rectangular section beam. The virtual work statement and numerical results are presented in order to compare both beam theories.
Tesis
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MAIARU', MARIANNA. "Multiscale approaches for the failure analysis of fiber-reinforced composite structures using the 1D CUF." Doctoral thesis, Politecnico di Torino, 2014. http://hdl.handle.net/11583/2571353.

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Composites provide significant advantages in performance, efficiency and costs; thanks to these features, their application is increasing in many engineering fields, such as aerospace, naval and mechanical engineering. Although the adoption of composites is rising, there are still open issues to be investigated, in particular, understanding their failure mechanism has a prominent role in enhancing component designs. Numerous methodologies are available to compute accurate stress/strain fields for laminated structures, multi-scale approaches are required when micro- and macro-scales are accounted for. Despite the increasing development in computer hardware, the computational effort of these methods is still prohibitive for extensive applications, especially when a high number of layers is considered. Then, the reduction of the computational time and cost required to perform failure analysis is still a challenging task. This work proposes two multiscale approaches for the failure analysis of fiber-reinforced composites. A concurrent multiscale approach ("Component-Wise") and a hierarchical method are developed based on the 1D Carrera Unified Formulation (CUF). 1D higher order elements are very powerful tools for multiscale analysis since they provide accurate stress and strain fields with very low computational costs.
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Ayad, Mohammad. "Homogenization-based, higher-gradient dynamical response of micro-structured media." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0062.

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Une approche dynamique discrète (DDM) est proposée dans le contexte de la mécanique des poutres pour calculer les caractéristiques de dispersion des structures périodiques. Cette démarche permet de calculer les caractéristiques de dispersion de milieux périodiques unidimensionnels et bidimensionnels. Il est montré qu’un développement d'ordre supérieur suffisamment élevé des forces et des moments d’éléments structuraux est nécessaire pour décrire avec précision les modes de propagation d’ordre supérieur. Ces résultats montrent dans l’ensemble que les calculs des caractéristiques de dispersion de systèmes structurels périodiques peuvent être abordés avec une bonne précision par la dynamique des éléments discrets. Les comportements non classiques peuvent être capturés non seulement par une expansion d'ordre supérieur mais aussi par des formulations à gradient supérieur. Nous calculons ainsi les paramètres constitutifs macroscopiques jusqu'au deuxième gradient du déplacement en utilisant deux formulations différentes, soit selon une méthode d'homogénéisation dynamique à gradient supérieur (DHGE) prenant en compte les effets de micro-inertie, ou alternativement selon le principe de Hamilton. Nous analysons ensuite la sensibilité des termes constitutifs du second gradient aux paramètres microstructuraux pour des matériaux composites à microstructure périodique de type laminés. En plus, on montre que les modèles du deuxième gradient formulés à partir de l'énergie interne totale en tenant compte des termes de gradient d'ordre supérieur donnent la meilleure description du propagation d’onde à travers ces milieux. On analyse les contributions d'ordre supérieur et de micro-inertie sur le comportement mécanique de structures composites en utilisant une méthode d'homogénéisation dynamique d'ordre supérieur qui intègre les effets de micro-inertie. Nous calculons la réponse effective statique longitudinale à gradient d’ordre supérieur, en quantifiant la différence relative par rapport à la formulation classique de type Cauchy qui repose sur le premier gradient du déplacement. Nous analysons ensuite les propriétés de propagation d’ondes longitudinales en termes de fréquence propre de composites, en tenant compte de la contribution de la micro-inertie. La longueur interne joue un rôle crucial dans les contributions de micro-inertie avec un effet substantiel pour les faibles valeurs de longueur interne, et qui correspond à une large gamme de matériaux utilisés en ingénierie des structures. La méthode d’homogénéisation développée montre un effet de taille important pour les modules élastiques homogénéisés d’ordre supérieur. Par conséquent, nous développons une formulation indépendante de la taille qui est basée sur des termes de correction liée aux moment quadratique. Dans ce contexte, on analyse l’influence des termes de correction sur le comportement statique et dynamique de composites à inclusion
A discrete dynamic approach (DDM) is developed in the context of beam mechanics to calculate the dispersion characteristics of periodic structures. Subsequently, based on this dynamical beam formulation, we calculate the dispersion characteristics of one-dimensional and two-dimensional periodic media. A sufficiently high order development of the forces and moments of the structural elements is necessary to accurately describe the propagation modes of higher order. These results show that the calculations of the dispersion characteristics of structural systems can be approached with good accuracy by the dynamics of the discrete elements. Besides, non-classical behaviors can be captured not only by higher order expansion but also by higher gradient formulations. To that scope, we develop a higher gradient dynamic homogenization method with micro-inertia effects. Using this formulation, we compute the macroscopic constitutive parameters up to the second gradient, using two distinct approaches, namely Hamilton’s principle and a total internal energy formulation. We analyze the sensitivity of the second gradient constitutive terms on the inner material and geometric parameters for the case of composite materials made of a periodic, layered microstructure. Moreover, we show that the formulations based on the total internal energy taking into account higher order gradient terms give the best description of wave propagation through the composite. We analyze the higher order and micro-inertia contributions on the mechanical behavior of composite structures by calculating the effective static and dynamic properties of composite beams using a higher order dynamic homogenization method. We compute the effective longitudinal static response with higher order gradient, by quantifying the relative difference compared to the classical formulation of Cauchy type, which is based on the first gradient of displacement. We then analyze the propagation properties of longitudinal waves in terms of the natural frequency of composite structural elements, taking into account the contribution of micro-inertia. The internal length plays a crucial role in the contributions of micro-inertia, which is particularly significant for low internal length values, therefore for a wide range of materials used in structural engineering. The developed method shows an important size effect for the higher gradients, and to remove these effects correction terms have been incorporated which are related to the quadratic moment of inertia. We analyze in this context the influence of the correction terms on the static and dynamic behavior of composites with a central inclusion
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Oskooei, Saeid G. "A higher order finite element for sandwich plate analysis." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0014/MQ34105.pdf.

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El-Esber, Lina. "Hierarchal higher order finite element modeling of periodic structures." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=82483.

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Periodic structures play an important role in engineering since they allow the manipulation of the electromagnetic properties of certain materials. To design such structures and investigate their different properties, it is essential to use simulation techniques. Among the various methods that have been used traditionally, the finite element method offers great advantages. In this thesis, a three dimensional finite element method is used to obtain the band diagrams of periodic structures; hierarchal higher-order elements are employed, thereby opening up the possibility of goal oriented h-p adaptivity. The computed dispersion curves for doubly-periodic and triply-periodic metallic structures are presented and compared to previously published curves. The results confirm the accuracy of the finite element formulation developed in this thesis and its implementation. Further, the triply-periodic results support the case for using higher-order, less dense meshes rather than lower-order, more highly refined meshes; the doubly-periodic results are inconclusive.
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Wagner, Carlee F. "Improving shock-capturing robustness for higher-order finite element solvers." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/101498.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 81-91).
Simulation of high speed flows where shock waves play a significant role is still an area of development in computational fluid dynamics. Numerical simulation of discontinuities such as shock waves often suffer from nonphysical oscillations which can pollute the solution accuracy. Grid adaptation, along with shock-capturing methods such as artificial viscosity, can be used to resolve the shock by targeting the key flow features for grid refinement. This is a powerful tool, but cannot proceed without first converging on an initially coarse, unrefined mesh. These coarse meshes suffer the most from nonphysical oscillations, and many algorithms abort the solve process when detecting nonphysical values. In order to improve the robustness of grid adaptation on initially coarse meshes, this thesis presents methods to converge solutions in the presence of nonphysical oscillations. A high order discontinuous Galerkin (DG) framework is used to discretize Burgers' equation and the Euler equations. Dissipation-based globalization methods are investigated using both a pre-defined continuation schedule and a variable continuation schedule based on homotopy methods, and Burgers' equation is used as a test bed for comparing these continuation methods. For the Euler equations, a set of surrogate variables based on the primitive variables (density, velocity, and temperature) are developed to allow the convergence of solutions with nonphysical oscillations. The surrogate variables are applied to a flow with a strong shock feature, with and without continuation methods, to demonstrate their robustness in comparison to the primitive variables using physicality checks and pseudo-time continuation.
by Carlee F. Wagner.
S.M.
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Underwood, Tyler Carroll. "Performance Comparison of Higher-Order Euler Solvers by the Conservation Element and Solution Element Method." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1399017583.

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Li, Ming-Sang. "Higher order laminated composite plate analysis by hybrid finite element method." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/40145.

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Bonhaus, Daryl Lawrence. "A Higher Order Accurate Finite Element Method for Viscous Compressible Flows." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/29458.

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The Streamline Upwind/Petrov-Galerkin (SU/PG) method is applied to higher-order finite-element discretizations of the Euler equations in one dimension and the Navier-Stokes equations in two dimensions. The unknown flow quantities are discretized on meshes of triangular elements using triangular Bezier patches. The nonlinear residual equations are solved using an approximate Newton method with a pseudotime term. The resulting linear system is solved using the Generalized Minimum Residual algorithm with block diagonal preconditioning. The exact solutions of Ringleb flow and Couette flow are used to quantitatively establish the spatial convergence rate of each discretization. Examples of inviscid flows including subsonic flow past a parabolic bump on a wall and subsonic and transonic flows past a NACA 0012 airfoil and laminar flows including flow past a a flat plate and flow past a NACA 0012 airfoil are included to qualitatively evaluate the accuracy of the discretiza-tions. The scheme achieves higher order accuracy without modification. Based on the test cases presented, significant improvement of the solution can be expected using the higher-order schemes with little or no increase in computational requirements. The nonlinear sys-tem also converges at a higher rate as the order of accuracy is increased for the same num-ber of degrees of freedom; however, the linear system becomes more difficult to solve. Several avenues of future research based on the results of the study are identified, includ-ing improvement of the SU/PG formulation, development of more general grid generation strategies for higher order elements, the addition of a turbulence model to extend the method to high Reynolds number flows, and extension of the method to three-dimensional flows. An appendix is included in which the method is applied to inviscid flows in three dimensions. The three-dimensional results are preliminary but consistent with the findings based on the two-dimensional scheme.
Ph. D.
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Bilyeu, David L. "A HIGHER-ORDER CONSERVATION ELEMENT SOLUTION ELEMENT METHOD FOR SOLVING HYPERBOLIC DIFFERENTIAL EQUATIONS ON UNSTRUCTURED MESHES." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1396877409.

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Books on the topic "Higher order beam element"

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Karel, Segeth, and Dolez̆el Ivo, eds. Higher-order finite element methods. Boca Raton, Fla: Chapman & Hall/CRC, 2004.

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Wiedemann, Helmut. Particle Accelerator Physics II: Nonlinear and Higher-Order Beam Dynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999.

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Wiedemann, Helmut. Particle Accelerator Physics II: Nonlinear and Higher-Order Beam Dynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995.

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Particle accelerator physics II: Nonlinear and higher-order beam dynamics. Berlin: Springer, 1995.

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Oskooei, Saeid G. A higher order finite element for sandwich plate analysis. Ottawa: National Library of Canada, 1998.

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Reddy, J. N. A higher-order theory for geometrically nonlinear analysis of composite laminates. Hampton, Va: Langley Research Center, 1987.

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Yan, Jue. Local discontinuous Galerkin methods for partial differential equations with higher order derivates. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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Goremykin, Sergey. Relay protection and automation of electric power systems. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1048841.

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The textbook describes the main issues of the theory of relay protection and automation of electric power systems. The structure and functional purpose of protection devices and automation of power transmission lines of various configurations, synchronous generators, power transformers, electric motors and individual electrical installations are considered. For each of the types of protection of the above objects, the structure, the principle of operation, the order of selection of settings are given, the advantages and disadvantages are evaluated, indicating the scope of application. The manual includes material on complete devices based on semiconductor and microprocessor element bases. The progressive use of such devices (protection of the third and fourth generations) is appropriate and effective due to their significant advantages. Meets the requirements of the federal state educational standards of higher education of the latest generation. It is intended for students in the areas of training 13.03.02 "Electric power and electrical engineering" (profile "Power supply", discipline "Relay protection and automation of electric power systems") and 35.03.06 "Agroengineering" (profile "Power supply and electrical equipment of agricultural enterprises", discipline "Relay protection of electrical equipment of agricultural objects"), as well as for graduate students and specialists engaged in the field of electrification and automation of industrial and agrotechnical objects.
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Solin, Pavel, Karel Segeth, and Ivo Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2003.

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Solin, Pavel, Karel Segeth, and Ivo Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2003.

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Book chapters on the topic "Higher order beam element"

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Pimenta, Paulo M., Cátia da Costa e Silva, and Carlos Tiago. "Higher Order Geometrically Exact Shear-Rigid Beam Finite Elements." In Current Trends and Open Problems in Computational Mechanics, 417–24. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-87312-7_40.

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Zhang, Jianxun, Pengchong Zhang, Huicun Song, and Lei Zhu. "Transverse Vibration Characteristics of Clamped-Elastic Pinned Beam Under Compressive Axial Loads." In Advances in Frontier Research on Engineering Structures, 527–39. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-8657-4_47.

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AbstractBased on the Bernoulli–Euler theory, the vibration characteristics of a clamped-elastic pinned beam under the elastic constraint and the compressive axial loads are derived and verified by finite element method. The results of examples show that the natural frequency of the beam decreases with loads increase and the frequency increases with the increase of the elastic constraint stiffness. When the constraint stiffness increases from 104 to 108 N/m, the first-order natural frequency becomes 4.24 times, the second-order natural frequency becomes 2.19 times, and the third-order natural frequency becomes 1.57 times; when the constraint is weak, the loads change is mainly reflected in the first mode shape. When the constraint stiffness is 104 N/m, the first-order natural frequency decreases by 20%, the second-order modal natural frequency changes by 3%, and the third-order natural frequency changes by less than 1%. The range of the elastic constraints with significant changes in the natural frequencies of the higher-order modes is larger. When the first-order frequency is taken to 100EI/l3, the change tends to be flat, the second-order frequency is about five times that of the first-order, and the range of the third-order frequency is 15 times or more.
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Hien, Ta Duy, Bui Tien Thanh, Nguyen Ngoc Long, Nguyen Van Thuan, and Do Thi Hang. "Investigation Into The Response Variability of A Higher-Order Beam Resting on A Foundation Using A Stochastic Finite Element Method." In Lecture Notes in Civil Engineering, 117–22. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0802-8_15.

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Almeida, João P., António A. Correia, and Rui Pinho. "Elastic and Inelastic Analysis of Frames with a Force-Based Higher-Order 3D Beam Element Accounting for Axial-Flexural-Shear-Torsional Interaction." In Computational Methods in Applied Sciences, 109–28. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47798-5_5.

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Taigbenu, Akpofure E. "Higher-Order Elements." In The Green Element Method, 231–50. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4757-6738-4_9.

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Eslami, Mohammad Reza, and Yasser Kiani. "Higher-Order Beam Theories." In Encyclopedia of Thermal Stresses, 2243–49. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_485.

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Öchsner, Andreas. "Higher-Order Beam Theories." In Classical Beam Theories of Structural Mechanics, 105–31. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76035-9_4.

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Duczek, S., C. Willberg, and U. Gabbert. "Higher Order Finite Element Methods." In Lamb-Wave Based Structural Health Monitoring in Polymer Composites, 117–59. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49715-0_6.

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Vieira, R., F. Virtuoso, and E. Pereira. "Higher Order Modes in Thin-Walled Beam Analysis." In Computational Methods in Engineering & Science, 228. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-48260-4_74.

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Abdessalem, Jarraya, Hajlaoui Abdessalem, Ben Jdidia Mounir, and Dammak Fakhreddine. "Higher Order Shear Deformation Enhanced Solid Shell Element." In Lecture Notes in Mechanical Engineering, 549–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37143-1_66.

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Conference papers on the topic "Higher order beam element"

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Argyridi, Amalia, and Evangelos Sapountzakis. "HIGHER ORDER BEAM ELEMENT FOR THE LOCAL BUCKLING ANALYSIS OF BEAMS." In 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017. http://dx.doi.org/10.7712/120117.5407.17453.

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Zhang, Peng, Jianmin Ma, and Menglan Duan. "A New Higher-Order Euler-Bernoulli Beam Element of Absolute Nodal Coordinate Formulation." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19132.

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Abstract In this study, a new higher-order Euler-Bernoulli beam element of Absolute Nodal Coordinate Formulation (ANCF) is developed for geometrically nonlinear analysis of planar structures. The strain energy of the beam element is derived by applying the definition of the Green–Lagrange strain tensor in continuum mechanics. The first contribution of this research is to realize the accurate calculation of curvature on the beam element node by additionally considering the second derivative of the position vector obtained by quintic Hermite interpolation function. Furthermore, in traditional theory, the independent variable of finite formulation is arc-length coordinate s, while in this work, a correction is come up with and proven that it is actually an equivalent parameter. Some benchmark problems of straight beams are solved by the proposed element and accurate results are obtained by just fewer elements when compared with the other works including the traditional ANCF element and B23 element of ABAQUS. What leads to this accuracy result is that the precise calculation of nodal curvature is obtained from higher order interpolation scheme. The correctness and accuracy of the proposed element are validated in this work and it can be further developed for tackling large deformation and large rotation problems of spatial curved beams.
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Carbonari, Sandro, Luigino Dezi, Fabrizio Gara, and Graziano Leoni. "A higher order finite element to analyse steel-concrete composite bridge decks." In IABSE Congress, Stockholm 2016: Challenges in Design and Construction of an Innovative and Sustainable Built Environment. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2016. http://dx.doi.org/10.2749/stockholm.2016.0040.

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This paper presents a novel interdependent interpolation finite element for a higher order beam model capable of capturing the shear-lag phenomenon and the overall shear deformability of composite beams. After a brief overview of the beam kinematics and of the differential solving equations, the stiffness matrix and the nodal forces to be used in a standard finite element procedure are derived in a consistent way by exploiting properties of exponential matrices and their application in the solution of linear differential equation systems. Some comparisons with solutions obtained by using finite elements with polynomial interpolating functions demonstrate the capability of the new element.
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Ramaprasad, Srinivasan, Kurt Gramoll, and Steven Hooper. "Finite element analysis of double cantilever beam specimen using a higher order plate theory." In 35th Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-1536.

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Bozorgmehri, Babak, Marko K. Matikainen, and Aki Mikkola. "Development of Line-to-Line Contact Formulation for Continuum Beams." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-70450.

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Abstract A line-to-line beam contact formulation in the framework of the absolute nodal coordinate formulation (ANCF) is introduced in this paper. Higher- and lower-order ANCF beam elements employ the introduced beam contact formulation. The higher- and lower-order ANCF beam elements are compared in terms of their accuracy and performance in a large deformation contact problem. Efficiency of numerical integration of contact energy variation contribution to the system’s equations of motion is studied. The contacting elements’ surfaces of the ANCF beam elements are parameterized by segmentation of integration over the contact patch. Numerical results investigate the accuracy, robustness and efficiency of the developed line-to-line contact formulation by comparing against a solid element type using commercial finite element code. According to the numerical results, the higher-order ANCF beam element’s solution is closer than the lower-order ANCF beam element’s in accordance with the reference solution provided by a solid element type using commercial finite element code ABAQUS. Furthermore, the higher-order beam element is found to be more efficient than the lower-order beam with respect to the numerical integration of the contact energy variation. Expectedly, the higher-order ANCF beam element is able to capture the cross-section deformation in a large deformation contact problem, while the lower-order element fails to exhibit such cross-sectional deformation.
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Dargush, G. F., and M. M. Grigoriev. "Higher-Order Boundary Element Methods for Unsteady Convective Transport." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/htd-24105.

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Abstract Higher-order boundary element methods (BEM) are presented for time-dependent convective diffusion problems. The time-dependent convective diffusion free-space fundamental solutions originally proposed by Carslaw and Jaeger are used to obtain the boundary integral formulation. For the linear, quadratic and quartic time interpolation functions considered in this paper, a complete set of closed form time integrals for the one-dimensional formulation are developed. Boundary element method solutions are obtained for four problems of unsteady convection-diffusion, including shock wave propagation. It is shown that the BEM solutions are extremely accurate in contrast to finite-difference and finite-element methods. Moreover, no upwinding is needed for the boundary element methods, even for high Peclet number flows. Finally, the conventional BEM formulation is extended to a problem involving singular flux arising due to a sudden rise of temperature on the boundary. This infinite flux BEM formulation provides significantly more accurate numerical results than the conventional approach.
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Gerstmayr, Johannes, and Ahmed A. Shabana. "Analysis of Higher and Lower Order Elements for the Absolute Nodal Coordinate Formulation." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84827.

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A higher order and a reduced order element for the analysis of thin beams using the absolute nodal coordinate formulation are investigated. Additional shape functions are introduced for the existing spatial absolute nodal coordinate beam element in order to increase its accuracy. For thin structures where bending stiffness might be still desired, a cable element is introduced and compared with existing formulations using several examples. Cables that experience low tension or catenary systems, where bending stiffness has an effect on the wave propagation, are examples in which the low order element can be used. The cable element, which does not include torsional stiffness, can be very effective in numerous applications and problems such as the formulation of sliding joints in applications such as the spatial pantograph-catenary system.
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Yu, Zhigang, Xin Xu, Xiaohua Zhu, and Fulei Chu. "Vibration Characteristics of Cracked Rotating Beams Using Higher Order Finite Element Technique." In 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-5137.

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Grigoriev, M. M., and G. F. Dargush. "A Higher-Order Poly-Region Boundary Element Method for Steady Thermoviscous Fluid Flows." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60022.

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In this presentation, we re-visit the poly-region boundary element methods (BEM) proposed earlier for the steady Navier-Stokes [1] and Boussinesq [2] flows, and develop a novel higher-order BEM formulation for the thermoviscous fluid flows that involves the definition of the domains of kernel influences due to steady Oseenlets. We introduce region-by-region implementation of the steady-state Oseenlets within the poly-region boundary element fequatramework, and perform integration only over the (parts of) higher-order boundary elements and volume cells that are influenced by the kernels. No integration outside the domains of the kernel influences are needed. Owing to the properties of the convective Oseenlets, the kernel influences are very local and propagate upstream. The localization becomes more prominent as the Reynolds number of the flow increases. This improves the conditioning of the global matrix, which in turn, facilitates an efficient use of the iterative solvers for the sparse matrices [3]. Here, we consider quartic boundary elements and bi-quartic volume cells to ensure a high level resolution in space. Similar to the previous developments [4–6], coefficients of the discrete boundary integral equations are evaluated with the sufficient precision using semi-analytic approach to ensure exceptional accuracy of the boundary element formulation. To demonstrate the attractiveness of the poly-region BEM formulation, we consider a numerical example of the well-known Rayleigh-Benard problem governed by the Boussinesq equations.
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Unal, Ahmet, and Gang Wang. "Wave Propagation in Multi-Layered Elastic Beam." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-7939.

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In this paper, a spectral finite element model (SFEM) is developed for an n-layered elastic beam and subsequently used to investigate its dynamic response and wave propagation characteristics. Each layer of the beam is idealized by a Timoshenko beam, in which shear deformation as well as rotational inertia are included. This higher order theory is critical to capture high frequency response of the multi-layered beam structures. Semi-analytical solutions were determined for the governing equations in order to construct the SFEM. Our frequency predictions were validated by the results of two and three-layer beams in the literature and good correlations were achieved. Fewer elements were used in our SFEM compared to conventional finite element based approaches, which substantially benefits the ultrasonic frequency simulations. Wave propagation responses were calculated for a two-layer beam, in which a notch in the top layer was assumed to represent the damage case. Wave reflection from the notch was observed to indicate the existence of damage. This newly developed SFEM can be served as a platform to conduct comprehensive simulations in order to capture wave propagation characteristics in multi-layered beam structures.
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Reports on the topic "Higher order beam element"

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White, D., M. Stowell, J. Koning, R. Rieben, A. Fisher, N. Champagne, and N. Madsen. Higher-Order Mixed Finite Element Methods for Time Domain Electromagnetics. Office of Scientific and Technical Information (OSTI), February 2004. http://dx.doi.org/10.2172/15014733.

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Saether, Erik, and Alexander Tessler. User-Defined Subroutine for Implementation of Higher-Order Shell Element in ABAQU. Fort Belvoir, VA: Defense Technical Information Center, August 1993. http://dx.doi.org/10.21236/ada269001.

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Jiang, W., and Benjamin W. Spencer. Modeling 3D PCMI using the Extended Finite Element Method with higher order elements. Office of Scientific and Technical Information (OSTI), March 2017. http://dx.doi.org/10.2172/1409274.

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Riveros, Guillermo, Felipe Acosta, Reena Patel, and Wayne Hodo. Computational mechanics of the paddlefish rostrum. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41860.

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Purpose – The rostrum of a paddlefish provides hydrodynamic stability during feeding process in addition to detect the food using receptors that are randomly distributed in the rostrum. The exterior tissue of the rostrum covers the cartilage that surrounds the bones forming interlocking star shaped bones. Design/methodology/approach – The aim of this work is to assess the mechanical behavior of four finite element models varying the type of formulation as follows: linear-reduced integration, linear-full integration, quadratic-reduced integration and quadratic-full integration. Also presented is the load transfer mechanisms of the bone structure of the rostrum. Findings – Conclusions are based on comparison among the four models. There is no significant difference between integration orders for similar type of elements. Quadratic-reduced integration formulation resulted in lower structural stiffness compared with linear formulation as seen by higher displacements and stresses than using linearly formulated elements. It is concluded that second-order elements with reduced integration and can model accurately stress concentrations and distributions without over stiffening their general response. Originality/value – The use of advanced computational mechanics techniques to analyze the complex geometry and components of the paddlefish rostrum provides a viable avenue to gain fundamental understanding of the proper finite element formulation needed to successfully obtain the system behavior and hot spot locations.
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Buitrago-García, Hilda Clarena. Teaching Dictionary Skills through Online Bilingual Dictionaries. Ediciones Universidad Cooperativa de Colombia, September 2022. http://dx.doi.org/10.16925/gcnc.23.

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This module, aimed at helping both English as a Foreign Language (EFL) teachers and their students, is the result of a qualitative, applied, transversal and constructivist research conducted with Open Lingua teachers. One of the objectives of said research was to establish the factors that favored and hindered the curriculum integration of open access bilingual dictionaries in that specific EFL context in order to design and implement some pedagogical and didactic initiatives that would foster the effective use of those lexical tools. The present module was a fundamental element within the series of proposals that arose along the research. Its main objective was to provide the teachers with the necessary conceptual knowledge and didactic strategies and resources to teach their students how to use that kind of online dictionary with higher degrees of ease, enjoyment, and efficiency, and, thus, to reduce the frequency of look up errors. This module offers a variety of digital resources, handouts, and hands-on and assessment activities that can greatly facilitate their job when teaching dictionary skills to their students.
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STUDY ON SHEAR BEHAVIOR OF BOX  TYPE STEEL STRUCTURE CONSIDERING WELDING EFFECT. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.325.

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Welding effect would reduce the bearing capacity and overall stability of the structure, whichhave many adverse effects on the structure. In order to determine the mechanical properties of box-type steel structure under welding effect, the effects of welding mode, welding quantity and position, and welding staggered joint size on its shear capacity were studied systematically. The results show that the shear capacity of the piecewise backward sequence welding is higher. The welding position has little influence on the shear bearing capacity, but the number of welding has a certain influence on the shear bearing capacity. The welding staggered joint size has a significant effect on shear capacity. Finally, the formula of ultimate shear capacity of welding space element is proposed based on welding staggered joint size.
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