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Relevant bibliographies by topics / Nonlinear element

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Academic literature on the topic 'Nonlinear element'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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Journal articles on the topic "Nonlinear element"

1

Shirazi-Adl, A. "Nonlinear finite element analysis of wrapping uniaxial elements." Computers & Structures 32, no. 1 (1989): 119–23. http://dx.doi.org/10.1016/0045-7949(89)90076-x.

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De Gersem, Herbert, Vaishnavi Srinivasan, and Carsten Muehle. "Nonlinear three-port magnetic-circuit elements for simulating bending magnets." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 1 (2018): 266–79. http://dx.doi.org/10.1108/compel-12-2016-0526.

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Purpose The purpose of this paper is to show that constructing magnetic equivalent circuits (MECs) for simulating accelerator magnets is possible by defining a three-port magnetic element for modelling the T-shape field distribution, where the flux leaves the yoke and enters the aperture. Design/methodology/approach A linear three-port magnetic element is extracted from an analytical field solution and can be represented by a number of two-port elements. Its nonlinear counterpart is obtained as a combination of the corresponding nonlinear two-port elements. An improved nonlinear three-port ele

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Xu, Qiang, Jian Yun Chen, Jing Li, Gui Bing Zhang, Hong Yuan Yue, and Xian Zheng Yu. "Nonlinear analysis for the polygonal element." MATEC Web of Conferences 272 (2019): 01020. http://dx.doi.org/10.1051/matecconf/201927201020.

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As an important method for solving boundary value problems of differential equations, the finite element method (FEM) has been widely used in the fields of engineering and academic research. For two dimensional problems, the traditional finite element method mainly adopts triangular and quadrilateral elements, but the triangular element is constant strain element, its accuracy is low, the poor adaptability of quadrilateral element with complex geometry. The polygon element is more flexible and convenient in the discrete complex geometric model. Some interpolation functions of the polygon eleme

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Dao, Nguyen Van. "Nonlinear oscillations in systems with large static deflection of elastic elements." Vietnam Journal of Mechanics 15, no. 4 (1993): 7–16. http://dx.doi.org/10.15625/0866-7136/10214.

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In mechanical systems the static deflection of the elastic elements is usual not appeared in the equations of motion. The reason is that either a linear model of the elastic elements or their too small static deflection assumption was accepted. In the present paper both nonlinear model of elastic elements and their large static deflection are considered, so that the nonlinear terms in the equation of motion appear with different degrees of smallness. In this case the nonlinearity of the system depends not only on the nonlinear characteristic of the elastic element but on its static deflection.

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Carey, Graham F., and Bo-Nan Jiang. "Element-by-element linear and nonlinear solution schemes." Communications in Applied Numerical Methods 2, no. 2 (1986): 145–53. http://dx.doi.org/10.1002/cnm.1630020205.

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Sun, Guanhua, Yongtao Yang, and Hong Zheng. "A Three-Node Triangular Element with Continuous Nodal Stress (Trig3-CNS) for Geometry Nonlinear Solid Mechanics Problems." International Journal of Computational Methods 15, no. 04 (2018): 1850022. http://dx.doi.org/10.1142/s0219876218500226.

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This paper investigates the performance of the three-node triangular element with continuous nodal stress (Trig3-CNS) for geometry nonlinear solid mechanic problems. This Trig3-CNS element was recently proposed to improve accuracy of the finite element method (FEM). By synergizing the individual strengths of meshfree method and FEM, the Trig3-CNS element achieves higher accuracy and convergence rate. Furthermore, Trig3-CNS presents high tolerance to mesh distortion. Therefore, it is potentially useful for geometry nonlinear solid mechanics problems in which mesh distortion takes place. Compare

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Balagangadhar, Ramesh, and Joseph C. Slater. "On the Convergence of Nonlinear Modes of a Finite Element Model." Shock and Vibration 15, no. 6 (2008): 655–64. http://dx.doi.org/10.1155/2008/645014.

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Convergence of finite element models is generally realized via observation of mesh independence. In linear systems invariance of linear modes to further mesh refinement is often used to assess mesh independence. These linear models are, however, often coupled with nonlinear elements such as CFD models, nonlinear control systems, or joint dynamics. The introduction of a single nonlinear element can significantly alter the degree of mesh refinement necessary for sufficient model accuracy. Application of nonlinear modal analysis [1,2] illustrates that using linear modal convergence as a measure o

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Yang, Yongtao, Xuhai Tang, Hong Zheng, and Quansheng Liu. "Four-Node Quadrilateral Element with Continuous Nodal Stress for Geometrical Nonlinear Analysis." International Journal of Computational Methods 15, no. 02 (2017): 1850005. http://dx.doi.org/10.1142/s0219876218500056.

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In this paper, the performance of a hybrid ‘FE-Meshfree’ quadrilateral element with continuous nodal stress (Quad4-CNS) is investigated for geometrical nonlinear solid mechanic problems. By combining finite element method (FEM) and meshfree method, this Quad4-CNS synergizes the individual strengths of these two methods, which leads to higher accuracy, better convergence rate, as well as high tolerance to mesh distortion. Therefore, Quad4-CNS is attractive for geometrical nonlinear solid mechanic problems where excessive distorted meshes occur. For geometrical nonlinear analysis, numerical resu

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Xu, Shu Feng, Huai Fa Ma, and Yong Fa Zhou. "Moving Grid Method for Simulating Crack Propagation." Applied Mechanics and Materials 405-408 (September 2013): 3173–77. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.3173.

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A moving grid nonlinear finite element method was used in this study to simulate crack propagation. The relevant elements were split along the direction of principal stress within the element and thus automatic optimization processing of local mesh was realized. We discussed the moving grid nonlinear finite element algorithm was proposed, compiled the corresponding script files based on the dedicated finite element language of Finite Element Program Generator (FEPG), and generate finite element source code programs according to the script files. Analyses show that the proposed moving grid fini

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Osman, Ashwaq, Mohamed Aboshok, Gehan Hamdy, and Osama El-Mahdy. "Nonlinear Finite Element Modeling of Wooden Elements Strengthened by FRP." Engineering Research Journal (Shoubra) 53, no. 2 (2024): 110–18. http://dx.doi.org/10.21608/erjsh.2023.242398.1230.

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Dissertations / Theses on the topic "Nonlinear element"

1

Ku, Chi Ming John. "Parallel finite element analysis of nonlinear problems." Thesis, University of Liverpool, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.321161.

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Buah, Patrick Asebiah. "Finite element methods for computational nonlinear optics." Thesis, City University London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319669.

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Supangkat, Himawan. "On finite element analysis of nonlinear consolidation." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/37795.

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Alnaas, Waled. "Nonlinear finite element analysis of quasi-brittle materials." Thesis, Cardiff University, 2016. http://orca.cf.ac.uk/93465/.

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The development of robust solution schemes for the nonlinear finite element analysis of quasi-brittle materials has been a challenging undertaking, due mainly to the stability and convergence difficulties associated with strain-softening materials. The work described in this thesis addresses this issue by proposing a new method for improving the robustness and convergence characteristics of a finite element damage model. In this method, a smooth unloading-reloading function is employed to compute an approximate tangent matrix in an incremental iterative Newton type solution procedure. The new

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Chandra, Rajesh. "Nonlinear finite element analysis of multilayered beam-columns." Thesis, University of British Columbia, 1989. http://hdl.handle.net/2429/27917.

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A finite element model has been developed in this thesis for predicting strength and stiffness behavior of multilayered beam-columns. The analysis incorporates material and geometric nonlinearities in order to determine the ultimate load carrying capacity. The finite element model takes into account the continuous variability of material properties along the length of layers so that multilayered wood beam-columns can be analyzed. Transverse as well as lateral bending in combination with axial tension or compression can be considered along with different layer configurations, various support an

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Hashemi, Seid Ataolah. "Nonlinear finite element studies of cementless knee implants." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0013/NQ38720.pdf.

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Engelstad, Stephen Phillip. "Nonlinear probabilistic finite element modeling of composite shells /." This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-08252008-162620/.

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Nurnberg, Robert. "Finite element approximation of some nonlinear parabolic systems." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401671.

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Yao, Zhong, and 姚钟. "Nonlinear finite element analysis of reinforced concrete beams." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B5090002X.

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A nonlinear finite element program to simulate the behavior of reinforced concrete (RC) members under the action of monotonic increasing loading has been developed. The nonlinear response of the RC members is mainly due to the nonlinear material characteristics including nonlinear biaxial stress-strain relations and cracking of concrete and yielding of steel reinforcement. A constitutive model of concrete under biaxial stress state is adopted in this thesis. In this model, concrete fails and critical cracks occur when the tensile strain of concrete exceeds the limiting tensile strain. The

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Ganaba, Taher H. "Nonlinear finite element analysis of plates and slabs." Thesis, University of Warwick, 1985. http://wrap.warwick.ac.uk/34590/.

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The behaviour of steel plates and reinforced concrete slabs which undergo large deflections has been investigated using the finite element method. Geometric and material nonlinearities are both considered in the study. Two computer programs have been developed for the analysis of plates and slabs. Ihe first program is for the elastic stability of plates. The elastic buckling loads obtained for plates with and without openings and under different edge loading conditions have been compared with the analytical and numerical results obtained by other investigators using different techniques of ana

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Books on the topic "Nonlinear element"

1

Wriggers, P. Nonlinear finite element methods. Springer, 2008.

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2

Kim, Nam-Ho. Introduction to Nonlinear Finite Element Analysis. Springer US, 2015. http://dx.doi.org/10.1007/978-1-4419-1746-1.

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Bergan, Pal G., K. J. Bathe, and W. Wunderlich, eds. Finite Element Methods for Nonlinear Problems. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82704-4.

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4

H, Robinson J. Nonlinear random response prediction using MSC/NASTRAN. National Aeronautics and Space Administration, Langley Research Center, 1993.

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5

E, Hinton, and National Agency for Finite Element Methods and Standards., eds. NAFEMS introduction to nonlinear finite element analysis. NAFEMS, 1992.

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6

Bonet, Javier. Nonlinear continuum mechanics for finite element analysis. Cambridge University Press, 1997.

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7

Chen, Goong. Boundary element methods with applications to nonlinear problems. 2nd ed. Atlantis Press, 2010.

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Chen, Goong, Goong Chen, and Jianxin Zhou. Boundary Element Methods with Applications to Nonlinear Problems. Atlantis Press, 2010. http://dx.doi.org/10.2991/978-94-91216-27-5.

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Jianxin, Zhou, and SpringerLink (Online service), eds. Boundary Element Methods with Applications to Nonlinear Problems. Atlantis Press, 2010.

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10

A, Crisfield M., ed. Nonlinear finite element analysis of solids and structures. 2nd ed. Wiley, 2012.

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Book chapters on the topic "Nonlinear element"

1

Weik, Martin H. "nonlinear element." In Computer Science and Communications Dictionary. Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_12430.

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2

Służalec, Andrzej. "Finite-Element Solution." In Introduction to Nonlinear Thermomechanics. Springer London, 1992. http://dx.doi.org/10.1007/978-1-4471-1906-7_10.

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Służalec, Andrzej. "Finite-Element Formulation." In Introduction to Nonlinear Thermomechanics. Springer London, 1992. http://dx.doi.org/10.1007/978-1-4471-1906-7_14.

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4

Gantes, Charis J. "Nonlinear Finite Element Analysis." In Encyclopedia of Earthquake Engineering. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36197-5_138-1.

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Gantes, Charis J. "Nonlinear Finite Element Analysis." In Encyclopedia of Earthquake Engineering. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-35344-4_138.

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6

Saouma, Victor E., and M. Amin Hariri-Ardebili. "Nonlinear Finite Element Analysis." In Aging, Shaking, and Cracking of Infrastructures. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57434-5_13.

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Taigbenu, Akpofure E. "Nonlinear Laplace/Poisson Equation." In The Green Element Method. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4757-6738-4_3.

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Bonnet, Marc. "Materially Nonlinear Analysis." In Boundary Element Advances in Solid Mechanics. Springer Vienna, 2003. http://dx.doi.org/10.1007/978-3-7091-2790-2_2.

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9

Lourenço, Paulo B., and Angelo Gaetani. "Nonlinear structural analysis." In Finite Element Analysis for Building Assessment. Routledge, 2022. http://dx.doi.org/10.1201/9780429341564-2.

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Kim, Nam-Ho. "Nonlinear Finite Element Analysis Procedure." In Introduction to Nonlinear Finite Element Analysis. Springer US, 2014. http://dx.doi.org/10.1007/978-1-4419-1746-1_2.

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Conference papers on the topic "Nonlinear element"

1

Moses, Jeffrey. "Adiabatic Frequency Converter as a Single-Cycle Pulse Generator and Custom Dispersive Element." In Nonlinear Photonics. Optica Publishing Group, 2024. https://doi.org/10.1364/np.2024.nptu3e.3.

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An adiabatic parametric frequency converter efficiently handles octave-spanning bandwidth while providing a route to tailor group delay dispersion through the quasi-phase matching grating design. Recent advancements include nearly dispersion-free frequency translation of mid-infrared single-cycle pulses. Full-text article not available; see video presentation

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2

Rahman, B. M. A., Y. Liu, P. A. Buah, et al. "Accurate Finite Element Analysis of Nonlinear Optical Fibers." In Nonlinear Optics. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.we11.

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Nonlinear optical effects in fibers such as optical solitons are closely related to the optical Kerr effect[1]. Calculations are presented here of propagation constants, field distributions and spot sizes, in step index and graded index optical fibers with Kerr- and saturation-type nonlinearities.

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Sapountzakis, E. J., and V. G. Mokos. "Shear deformation effect in nonlinear analysis of spatial beams subjected to variable axial loading by BEM." In BOUNDARY ELEMENT METHOD 2006. WIT Press, 2006. http://dx.doi.org/10.2495/be06011.

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4

Logvin, Yu A., and A. M. Samson. "Light Dynamics of Bistable Element Chain." In Nonlinear Dynamics in Optical Systems. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.tuc12.

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The light dynamics of bistable element chain is theoretically considered within the scope of the plane wave approximation. It is supposed that bistable elements are arranged In line and coupled by the light beams (see fig.). As a model is chosen the bistable thin film of two-level atoms [1,2] subjecting to the relation (1) where e i and e t - the amplitudes of incident and transmitted field, C - the cooperative parameter of the film [3].

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Röhm, André, Florian Stelzer, Tomoaki Niiyama, et al. "Implementing a deep neural network using a single nonlinear element and delayed feedback." In Nonlinear Optics. Optica Publishing Group, 2023. http://dx.doi.org/10.1364/nlo.2023.m4a.26.

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Optically implemented neural networks promise faster speeds and lower costs. However, large size networks remain challenging. We derive how to emulate a deep neural network with just a single nonlinear element using delayed feedback signals.

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Hernandez-Figueroa, H. E. "An Efficient Finite Element Scheme for Highly Nonlinear Waveguides." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/nlgwp.1991.me1.

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Since the late 70's the Beam Propagation Method (BPM) or Split-Step Fourier Method (SS/FM), has been widely used for solving the nonlinear partial differential equations which describe the propagation of spatial pulses through waveguide structures. By applying the Split-Step technique, the paraxial wave equation can be split in two propagating equations, one involving only linear terms and another including nonlinear ones. These two equations describe diffraction and nonlinear refraction respectively. In the SS/FM, diffraction is integrated by using the Fourier transform. However, the performa

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Khaidarov, D. V. "Fiber-Optical Element for Ultrashort Pulses Control and Switching." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/nlgwp.1991.tue7.

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Fiber-optical interferometers are outlook for ultrafast all - optical light control and switching. Here the fiber - optical loop is discussed as an element for fundamental soliton self-switching and for ultrashort pulses formation.

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Chen, Yan, and Steve Blair. "Towards a better nonlinear phase shifting element." In Nonlinear Optics: Materials, Fundamentals and Applications. OSA, 2002. http://dx.doi.org/10.1364/nlo.2002.mc4.

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"Nonlinear Torsion and Warping for Multifibre Beam Elements." In SP-237: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2006. http://dx.doi.org/10.14359/18248.

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"Modeling of Nonlinear Cyclic Behavior of Reinforcing Bars." In SP-205: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2002. http://dx.doi.org/10.14359/11644.

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Reports on the topic "Nonlinear element"

1

Hamilton, A., T. Tran, M. B. Mckay, B. Quiring, and P. S. Vassilevski. DNN Approximation of Nonlinear Finite Element Equations. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1573161.

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2

Belytschko, Theodore B. Adaptive Refinement for Explicit Nonlinear Finite Element Analysis. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada309516.

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Adams, Mark F. Multigrid Equation Solvers for Large Scale Nonlinear Finite Element Simulations. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada603914.

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4

Hong, S. W., W. W. Schultz, and W. P. Graebel. An Alternative Complex Boundary Element Method for Nonlinear Free Surface Problems. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada250817.

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Sirman, M. B., and D. K. Gartling. CUERVO: A finite element computer program for nonlinear scalar transport problems. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/155760.

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Laursen, T. A., S. W. Attaway, and R. I. Zadoks. SEACAS Theory Manuals: Part III. Finite Element Analysis in Nonlinear Solid Mechanics. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/4711.

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Tsuchiya, Takuya, and Ivo Babuska. A Priori Error Estimates of Finite Element Solutions of Parametrized Nonlinear Equations. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada260013.

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Tsuchiya, Takuya, and Ivo Babuska. A Posteriori Error Estimates of Finite Element Solutions of Parametrized Nonlinear Equations. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada260014.

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Lokke, Arnkjell, and Anil Chopra. Direct-Finite-Element Method for Nonlinear Earthquake Analysis of Concrete Dams Including Dam–Water–Foundation Rock Interaction. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, 2019. http://dx.doi.org/10.55461/crjy2161.

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Evaluating the seismic performance of concrete dams requires nonlinear dynamic analysis of two- or three-dimensional dam–water–foundation rock systems that include all the factors known to be significant in the earthquake response of dams. Such analyses are greatly complicated by interaction between the structure, the impounded reservoir and the deformable foundation rock that supports it, and the fact that the fluid and foundation domains extend to large distances. Presented in this report is the development of a direct finite-element (FE) method for nonlinear earthquake analysis of two- and

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Al-Chaar, Ghassan L., and Armin Mehrabi. Constitutive Models for Nonlinear Finite Element Analysis of Masonry Prisms and Infill Walls. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada496667.

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