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Relevant bibliographies by topics / Rigid finite element method

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Academic literature on the topic 'Rigid finite element method'

Author: Grafiati

Published: 4 June 2025

Last updated: 23 June 2025

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Journal articles on the topic "Rigid finite element method"

1

Li, Yi Hao, and Wei Jiang. "Rigid Finite Element Modeling of Ball Screw System." Advanced Materials Research 538-541 (June 2012): 1006–10. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.1006.

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An integrated modeling method is proposed for ball screw drives which incorporates the elastic deformation of the screw within the nut. The ball screw model is derived based on Rigid Finite Element method, which is modeled as rigid multibody system consisting of rigid finite elements connected with spring damping elements, by using Rigid Finite Element method. The distributed contact stiffness of screw-nut interface is converted on ball screw and nut via Frenet-Serret coordinates. The proposed ball screw model has much less degrees of freedom than conventional finite element models. Comparisons between numerical simulations and experiments show that satisfied accuracy can also be obtained. The resulting model can be used for vibration analysis and control of ball screw drives.

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Guo, Yong-Ming. "A comparison between the rigid–plastic finite-boundary element method and the penalty rigid–plastic finite element method." Journal of Materials Processing Technology 101, no. 1-3 (2000): 209–15. http://dx.doi.org/10.1016/s0924-0136(00)00459-3.

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Eom, Jae Gun, Wan Jin Chung, and Man Soo Joun. "Comparison of Rigid-Plastic and Elastoplastic Finite Element Predictions of a Tensile Test of Cylindrical Specimens." Key Engineering Materials 622-623 (September 2014): 611–16. http://dx.doi.org/10.4028/www.scientific.net/kem.622-623.611.

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In this paper, finite element predictions of a tensile test of cylindrical specimens obtained by rigid-plastic and elastoplastic finite element methods are compared in terms of tensile load-elongation curve and deformed shape. The flow stress curve used for this study is obtained by a scheme of obtaining flow stress at large strain from tensile test of cylindrical specimen using rigid-plastic finite element method. The two predictions are compared in a quantitative manner and discussed not only to find some similarity but also to distinguish the elastoplastic finite element method from the rigid-plastic finite element method.

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Christensen, A. P., and A. A. Shabana. "Exact Modeling of the Spatial Rigid Body Inertia Using the Finite Element Method." Journal of Vibration and Acoustics 120, no. 3 (1998): 650–57. http://dx.doi.org/10.1115/1.2893879.

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In the classical finite element literature beams and plates are not considered as isoparametric elements since infinitesimal rotations are used as nodal coordinates. As a consequence, exact modeling of an arbitrary rigid body displacement cannot be obtained, and rigid body motion does not lead to zero strain. In order to circumvent this problem in flexible multibody simulations, an intermediate element coordinate system, which has an origin rigidly attached to the origin of the deformable body coordinate system and has axes which are parallel to the axes of the element coordinate system in the undeformed configuration was introduced. Using this intermediate element coordinate system and the fact that conventional beam and plate shape functions can describe an arbitrary rigid body translation, an exact modeling of the rigid body inertia can be obtained. The large rigid body translation and rotational displacements can be described using a set of reference coordinates that define the location of the origin and the orientation of the deformable body coordinate system. On the other hand, as demonstrated in this investigation, the incremental finite element formulations do not lead to exact modeling of the spatial rigid body mass moments and products of inertia when the structures move as rigid bodies, and such formulations do not lead to the correct rigid body equations of motion. The correct equations of motion, however, can be obtained if the coordinates are defined in terms of global slopes. Using this new definition of the element coordinates, an absolute nodal coordinate formulation that leads to a constant mass matrix for the element can be developed. Using this formulation, in which no infinitesimal or finite rotations are used as nodal coordinates, beam and plate elements can be treated as isoparametric elements.

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Guo, Yong Ming. "Computer Modeling of Extrusion by the Rigid-Plastic Hybrid Element Method." Materials Science Forum 505-507 (January 2006): 703–8. http://dx.doi.org/10.4028/www.scientific.net/msf.505-507.703.

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In this paper, a rigid-plastic hybrid element method is formulated, which is a mixed approach of the rigid-plastic domain-BEM and the rigid-plastic FEM based on the theory of slightly compressible plasticity. Since compatibilities of velocity and velocity's derivative between adjoining boundary elements and finite elements can be met, the velocity and the derivative of velocity can be calculated with the same precision for this hybrid element method. While, the compatibility of the velocity's derivative cannot be met for the rigid-plastic FEMs.

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Yu, Qi Cai, Ai Rong Liu, Ren Xiong, and Hui Jun Yu. "The Seismic Response Analysis of Continuous Rigid-Frame Bridge - Energy Method." Advanced Materials Research 378-379 (October 2011): 251–55. http://dx.doi.org/10.4028/www.scientific.net/amr.378-379.251.

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A 3D Finite Element model of a continuous rigid-frame bridge is constructed by the Midas/Civil bridge finite element analysis program in this paper, where fiber elements and plastic hinges are used for bridge piers. The lump mass method is used to simplify the infinite-degree-of-freedom continuous rigid-frame bridge into a multi-degree of freedom model. The energy solution of continuous rigid-frame bridge is given, and the time-history analysis of the bridge is applied. In addition, the energy response of continuous rigid-frame bridge with different pier height and reinforcement ratio are given based on the energy method, revealing the impact of pier height and reinforcement ratio on the displacement and energy response of continuous rigid-frame bridge.

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Li, Di, Wen Qian Kang, and Peng Wei Guo. "A Coupled Finite Element and Element-Free Galerkin Method for Rigid Plastic Problems." Key Engineering Materials 450 (November 2010): 490–93. http://dx.doi.org/10.4028/www.scientific.net/kem.450.490.

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The analysis for rigid plastic forming problems with finite element method can lose considerable accuracy due to severely distortional meshes. By measuring the mesh equality of elements, a coupling algorithm for rigid plastic problems have been proposed based on the interface element method, which converts the FE analysis into the EFG computation to preserve the accuracy in the region where meshes have been severely distorted. Numerical example shows that the present algorithms exploit the respective advantages of both the FE method whose computational efficiency is high and the EFG method which can throws out mesh distortions and be suitable for rigid plastic forming analysis.

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Tamura, Takeshi, Shoichi Kobayashi, and Tetsuya Sumi. "Rigid-Plastic Finite Element Method for Frictional Materials." Soils and Foundations 27, no. 3 (1987): 1–12. http://dx.doi.org/10.3208/sandf1972.27.3_1.

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Guo, Yong Ming. "Hot Forging Comparative Analyses by Using a Combined Finite Element Method." Key Engineering Materials 340-341 (June 2007): 737–42. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.737.

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In this paper, single action die and double action die hot forging problems are analyzed by a combined FEM, which consists of the volumetrically elastic and deviatorically rigid-plastic FEM and the heat transfer FEM. The volumetrically elastic and deviatorically rigid-plastic FEM has some merits in comparison with the conventional rigid-plastic FEMs. Differences of calculated results for the two forging processes can be clearly seen in this paper. It is also verified that these calculated results are similar to those of the conventional rigid-plastic FEM in comparison with analyses of the same numerical examples by the penalty rigid-plastic FEM.

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Wang, Chan Chin. "Finite Element Simulation for Forging Process Using Euler’s Fixed Meshing Method." Materials Science Forum 575-578 (April 2008): 1139–44. http://dx.doi.org/10.4028/www.scientific.net/msf.575-578.1139.

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A simulator based on rigid-plastic finite element method is developed for simulating the plastic flow of material in forging processes. In the forging process likes backward extrusion, a workpiece normally undergoes large deformation around the tool corners that causes severe distortion of elements in finite element analysis. Since the distorted elements may induce instability of numerical calculation and divergence of nonlinear solution in finite element analysis, a computational technique of using the Euler’s fixed meshing method is proposed to deal with large deformation problem by replacing the conventional way of applying complicated remeshing schemes when using the Lagrange’s elements. With this method, the initial elements are generated to fix into a specified analytical region with particles implanted as markers to form the body of a workpiece. The particles are allowed to flow between the elements after each deformation step to show the deforming pattern of material. The proposed method is found to be effective in simulating complicated material flow inside die cavity which has many sharp edges, and also the extrusion of relatively slender parts like fins. In this paper, the formulation of rigid-plastic finite element method based on plasticity theory for slightly compressible material is introduced, and the advantages of the proposed method as compared to conventional one are discussed.

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Dissertations / Theses on the topic "Rigid finite element method"

1

Davids, William G. "Modeling of rigid pavements : joint shear transfer mechanisms and finite element solution strategies /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/10157.

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Bönisch, Sebastian. "Adaptive finite element methods for rigid particulate flow problems." [S.l. : s.n.], 2006. http://nbn-resolving.de/urn:nbn:de:bsz:16-opus-70622.

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DeVries, Mark R. "Vibration of a cantilever beam that slides axially in a rigid frictionless hole." Thesis, Monterey, California : Naval Postgraduate School, 1990. http://handle.dtic.mil/100.2/ADA241352.

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Thesis (M.S. in Mechanical Engineering)--Naval Postgraduate School, September 1990.<br>Thesis Advisor(s): Salinas, David. "September 1990." Description based on title screen as viewed on December 17, 2009. DTIC Identifier(s): Vibration, sliding friction, guns barrels, cantilever beams, Euler equations, finite element analysis, transformations (mathematics), theses, frictionless holes, holes (openings), recoil. Author(s) subject terms: Cantilever beam, finite element method, axial motion, vibration, transient behavior. Includes bibliographical references (p. 110). Also available in print.

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Mello, Frank James. "Weak formulations in analytical dynamics, with applications to multi-rigid-body systems, using time finite elements." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/32854.

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Li, Ching-Chang. "Use of iterative techniques for the rigid-viscoplastic finite element analysis." Ohio : Ohio University, 1986. http://www.ohiolink.edu/etd/view.cgi?ohiou1183139974.

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Rivera, Alejandro. "Non-Linear Finite Element Method Simulation and Modeling of the Cold and Hot Rolling Processes." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/31035.

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A nonlinear finite element model of the hot and cold rolling processes has been developed for flat rolling stock with rectangular cross section. This model can be used to analyze the flat rolling of cold and hot steel rectangular strips under a series of different parameters, providing the rolling designer with a tool that he can use to understand the behavior of the steel as it flows through the different passes. The models developed, take into account all of the non-linearities present in the rolling problem: material, geometric, boundary, and heat transfer. A coupled thermal-mechanical analysis approach is used to account for the coupling between the mechanical and thermal phenomena resulting from the pressure-dependent thermal contact resistance between the steel slab and the steel rolls. The model predicts the equivalent stress, equivalent plastic strain, maximum strain rate, equivalent total strain, slab temperature increase, increase in roll temperature, strip length increase, slab thickness % reduction (draft), and stripâ s velocity increase, for both the cold and hot rolling processes. The FE model results are an improvement over the results obtained through the classical theory of rolling. The model also demonstrates the role that contact, plastic heat generation and friction generated heat plays in the rolling process. The analysis performed shows that the steel in cold rolling can be accurately modeled using the elastic-plastic (solid Prandtl-Reuss) formulation, with a von Mises yield surface, the Praguer kinematic hardening rule, and the Ramberg-Osgood hardening material model. The FE models also demonstrate that the steel in hot rolling can be modeled using the rigid-viscoplastic (flow Levy-Mises) formulation, with a von Mises yield surface, and Shidaâ s material model for high temperature steel where the flow stress is a function of the strain, strain rate, and the temperature. Other important contributions of this work are the demonstration that in cold rolling, plane sections do not remain plane as the classic theory of rolling assumes. As a consequence, the actual displacements, velocity, and stress distributions in the workpiece are compared to and shown to be an improvement over the distributions derived from the classical theory. Finally, the stress distribution in the rolls during the cold rolling process is found, and shown to be analogous to the stress distribution of the Hertz contact problem.<br>Master of Science

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Bönisch, Sebastian [Verfasser], and Rolf [Akademischer Betreuer] Rannacher. "Adaptive Finite Element Methods for Rigid Particulate Flow Problems / Sebastian Bönisch ; Betreuer: Rolf Rannacher." Heidelberg : Universitätsbibliothek Heidelberg, 2006. http://d-nb.info/1178796590/34.

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Bryner, Thomas K. "The composite extrusion process." Ohio : Ohio University, 1989. http://www.ohiolink.edu/etd/view.cgi?ohiou1182284434.

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Roberts, Peter John. "Numerical modelling of single and two phase fluid flow and energy transport in rigid and deforming porous media." Thesis, Swansea University, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.644360.

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Beegle, David J. "Three-dimensional modeling of rigid pavement." Ohio : Ohio University, 1998. http://www.ohiolink.edu/etd/view.cgi?ohiou1176842076.

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Books on the topic "Rigid finite element method"

1

Heppler, G. R. Shell elements which satisfy rigid body requirements. [s.n.], 1985.

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Wittbrodt, Edmund, Marek Szczotka, Andrzej Maczyński, and Stanisław Wojciech. Rigid Finite Element Method in Analysis of Dynamics of Offshore Structures. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-29886-8.

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Wittbrodt, Edmund. Rigid Finite Element Method in Analysis of Dynamics of Offshore Structures. Springer Berlin Heidelberg, 2013.

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Szczotka, Marek. Metoda sztywnych elementów skończonych w modelowaniu nieliniowych układów w technice morskiej: The rigid finite element method in modeling of nonlinear offshore systems. Wydawnictwo Politechniki Gdańskiej, 2011.

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5

Shih-Chin, Wu, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. A finite element approach for the dynamic analysis of joint-dominated structures. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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6

Wu, Shih-Chin. Large angle transient dynamics (LATDYN): Demonstration problem manual. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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Louis, Abrahamson A., and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. Large angle transient dynamics (LATDYN): User's manual. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991.

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8

Facility, Dryden Flight Research, ed. Higher harmonic control analysis for vibration reduction of helicopter rotor systems. National Aeronautics and Space Administration, Ames Research Center, Dryden Flight Research Facility, 1994.

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Facility, Dryden Flight Research, ed. Higher harmonic control analysis for vibration reduction of helicopter rotor systems. National Aeronautics and Space Administration, Ames Research Center, Dryden Flight Research Facility, 1994.

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10

Lyu, Yongtao. Finite Element Method. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9.

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Book chapters on the topic "Rigid finite element method"

1

Wittbrodt, Edmund, Marek Szczotka, Andrzej Maczyński, and Stanisław Wojciech. "The Rigid Finite Element Method." In Rigid Finite Element Method in Analysis of Dynamics of Offshore Structures. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-29886-8_8.

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LingXi, Q., and Z. Xiong. "Rigid Finite Element Method in Structural Analysis." In The finite element method in the 1990’s. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-10326-5_10.

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Fu, Ming Wang. "Rigid-Plastic Finite Element Method and FE Simulation." In Engineering Materials and Processes. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46464-0_2.

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Kawai, T. "Discrete Limit Analysis of Reinforced Concrete Structures Using Rigid Bodies-Spring Models." In The finite element method in the 1990’s. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-10326-5_19.

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DiMasi, F., P. Tong, J. H. Marcus, H. C. Gabler, and R. H. Eppinger. "Simulated Head Impacts with Upper Interior Structures Using Rigid and Anatomic Brain Models." In The finite element method in the 1990’s. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-10326-5_34.

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Jackson, J. E., and M. S. Ramesh. "The Rigid-Plastic Finite-Element Method for Simulation of Deformation Processing." In Numerical Modelling of Material Deformation Processes. Springer London, 1992. http://dx.doi.org/10.1007/978-1-4471-1745-2_7.

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Wittbrodt, Edmund, Marek Szczotka, Andrzej Maczyński, and Stanisław Wojciech. "Equations of Motion of Systems with Rigid Links." In Rigid Finite Element Method in Analysis of Dynamics of Offshore Structures. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-29886-8_5.

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Sui, Yunkang, Jingya Chang, and Hongling Ye. "Numerical Simulation of Semi-Rigid Element in Timber Structure Based on Finite Element Method." In Computational Structural Engineering. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2822-8_71.

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Schnabel, Julia A., Christine Tanner, Andy D. Castellano Smith, et al. "Validation of Non-rigid Registration Using Finite Element Methods." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45729-1_34.

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Wittbrodt, Edmund, Marek Szczotka, Andrzej Maczyński, and Stanisław Wojciech. "Modelling of Joining Elements: Constraint Equations." In Rigid Finite Element Method in Analysis of Dynamics of Offshore Structures. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-29886-8_6.

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Conference papers on the topic "Rigid finite element method"

1

Stone, James J. S., Shen-Haw Ju, Edmund Y. S. Chao, Bernard F. Morrey, and Kai-Nan An. "Efficient Finite Element Method for Contact Analysis of Articular Joints." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-1297.

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Abstract An efficient 2-D continuum finite element method (FEM), including the rigid body algorithm and our previously developed contact element, was formulated for the contact stress analysis of articular joints. This FEM can calculate the contact pressure distribution on articular surfaces and stress distribution inside of cartilage. This method can model geometric and material nonlinearities for both the static and dynamic situations. The major advantage of this method is that only the soft cartilage requires finite element (FE) mesh, while the bony structure can be modeled as a rigid body due to its relatively rigid nature. Since much less degrees of freedom are now required in FEM, much faster computing speed can be achieved.

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Krol, A., I. L. Coman, J. A. Mandel, et al. "Inter-modality non-rigid breast image registration using finite-element method." In 2003 IEEE Nuclear Science Symposium. Conference Record (IEEE Cat. No.03CH37515). IEEE, 2003. http://dx.doi.org/10.1109/nssmic.2003.1352263.

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Xie, Yurui, Mingyuan Xie, and Ling Yang. "A New Non-rigid Image Registration Algorithm Using the Finite-Element Method." In 2010 Second International Workshop on Education Technology and Computer Science. IEEE, 2010. http://dx.doi.org/10.1109/etcs.2010.216.

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Hamper, Martin B., Antonio M. Recuero, Jose´ L. Escalona, and Ahmed A. Shabana. "Modeling Rail Flexibility Using Finite Element and Finite Segment Methods." In 2011 Joint Rail Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/jrc2011-56106.

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Safety requirements and optimal performance of railroad systems require the utilization of multibody System (MBS) formulations that allow for modeling flexible bodies. This investigation will present three methods suited for the study of flexible track models while conclusions about their implementations and features are made. A validated method combining Floating Frame of Reference (FFR) and Finite Element (FE) to model flexible rails is utilized for comparison. In this procedure, component mode synthesis is used to extract a number of low-frequency modes of vibration which describe the deformation of the rail. Likewise, a method that discretizes the flexible body as a finite number of rigid elements that are linked by springs and dampers is applied for railroad simulations. This method, called Finite Segment or Rigid Finite Element (FS), can in turn be combined with FFR through the extraction of mode shapes of the FS model. Convergence of the methods is analyzed. A comparison will be made between these three procedures establishing differences among them and analyzing the specific application of FS to modeling track flexibility. The three aforementioned procedures may be applied to three-dimensional track models and will be used together with three-dimensional wheel/rail contact formulation that predicts contact points online and allows for updating the creepages to account for the rail movements and deformations. Several comparisons and conclusions will be drawn in view of the results obtained in this investigation.

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Abdullah, Oday Ibraheem, Josef Schlattmann, and Emir Pireci. "Design Optimization of the Rigid Drive Disc of Clutch Using Finite Element Method." In SAE 2014 World Congress & Exhibition. SAE International, 2014. http://dx.doi.org/10.4271/2014-01-0800.

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Mori, Ken-ichiro. "Parallel Processing of 3-D Rigid-Plastic Finite Element Method Using Diagonal Matrix." In MATERIALS PROCESSING AND DESIGN: Modeling, Simulation and Applications - NUMIFORM 2004 - Proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes. AIP, 2004. http://dx.doi.org/10.1063/1.1766873.

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Guo, Y. M., and K. Nakanishi. "A study on axisymmetric indentation by the rigid-plastic finite-boundary element method." In Proceedings of the Second International Conference on Intelligent Processing and Manufacturing of Materials. IPMM'99 (Cat. No.99EX296). IEEE, 1999. http://dx.doi.org/10.1109/ipmm.1999.791498.

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Makram-Ebeid, Sherif, and Oudom Somphone. "Non-Rigid Image Registration using a Hierarchical Partition of Unity Finite Element Method." In 2007 IEEE 11th International Conference on Computer Vision. IEEE, 2007. http://dx.doi.org/10.1109/iccv.2007.4409078.

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Shabana, A. A. "Finite Element Incremental Approach and Exact Rigid Body Inertia." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0081.

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Abstract In the dynamics of multibody systems that consist of interconnected rigid and deformable bodies, it is desirable to have a formulation that preserves the exactness of the rigid body inertia. As demonstrated in this paper, the incremental finite element approach, which is often used to solve large rotation problems, does not lead to the exact inertia of simple structures when they rotate as rigid bodies because the physical nodal coordinates can not be used to describe large rotations in the case of beams and plates. Nonetheless, the exact inertia properties, such as the mass moments of inertia and the moments of mass, of the rigid bodies can be obtained using the finite element shape functions that describe large rigid body translations by introducing an intermediate element coordinate system. The results of application of the parallel axis theorem can be obtained using the finite element shape functions by simply changing the element nodal coordinates. A simple rigid body rotation, however, can cause a significant error if the element shape function and the nodal coordinates are used to evaluate the inertia properties of bodies that undergo large rigid body rotations. As demonstrated in this investigation, the exact rigid body inertia properties in case of rigid body rotations can be obtained using the shape function if the nodal coordinates are defined using trigonometric functions that lack a physical meaning. Linearization of the nodal coordinate vector can lead to different results when different methods are used to define the rigid body inertia. For example, the calculation of the mass moment of inertia using position coordinates only leads to results which are different from those obtained using energy expressions or the laws of motion.

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Lu, Hanjing, Xiaoting Rui, Jianshu Zhang, and Yuanyuan Ding. "Study on the Mixed Method of Transfer Matrix Method and Finite Element Method for Vibration of Multibody System." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97749.

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Abstract The mixed method of Transfer Matrix Method for Multibody System (MSTMM) and Finite Element Method (FEM) is introduced in this paper. The transfer matrix and transfer equation of multi-rigid-body subsystem are deduced by MSTMM. The mass matrix and stiffness matrix of flexible subsystem are calculated by FEM and then its dynamics equation is established. The connection point relations among subsystems are deduced and the overall transfer matrix and transfer equation of multi-rigid-flexible system are established. The vibration characteristics of the system are obtained by solving the system frequency equation. The computational results of two numerical examples show that the proposed method have good agreements with MSTMM and FEM. Multi-rigid-flexible-body system with multi-end beam can be solved by proposed method, which extends the application field of MSTMM and provides a theoretical basis for calculating complex systems with multi input end flexible bodies of arbitrary shape.

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Reports on the topic "Rigid finite element method"

1

Heymsfield, Ernie, and Jeb Tingle. State of the practice in pavement structural design/analysis codes relevant to airfield pavement design. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/40542.

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An airfield pavement structure is designed to support aircraft live loads for a specified pavement design life. Computer codes are available to assist the engineer in designing an airfield pavement structure. Pavement structural design is generally a function of five criteria: the pavement structural configuration, materials, the applied loading, ambient conditions, and how pavement failure is defined. The two typical types of pavement structures, rigid and flexible, provide load support in fundamentally different ways and develop different stress distributions at the pavement – base interface. Airfield pavement structural design is unique due to the large concentrated dynamic loads that a pavement structure endures to support aircraft movements. Aircraft live loads that accompany aircraft movements are characterized in terms of the load magnitude, load area (tire-pavement contact surface), aircraft speed, movement frequency, landing gear configuration, and wheel coverage. The typical methods used for pavement structural design can be categorized into three approaches: empirical methods, analytical (closed-form) solutions, and numerical (finite element analysis) approaches. This article examines computational approaches used for airfield pavement structural design to summarize the state-of-the-practice and to identify opportunities for future advancements. United States and non-U.S. airfield pavement structural codes are reviewed in this article considering their computational methodology and intrinsic qualities.

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Babuska, Ivo, Uday Banerjee, and John E. Osborn. Superconvergence in the Generalized Finite Element Method. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada440610.

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Coyle, J. M., and J. E. Flaherty. Adaptive Finite Element Method II: Error Estimation. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada288358.

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Babuska, I., and J. M. Melenk. The Partition of Unity Finite Element Method. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada301760.

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Duarte, Carlos A. A Generalized Finite Element Method for Multiscale Simulations. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada577139.

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Manzini, Gianmarco, and Vitaliy Gyrya. Final Report of the Project "From the finite element method to the virtual element method". Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1415356.

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Manzini, Gianmarco. The Mimetic Finite Element Method and the Virtual Element Method for elliptic problems with arbitrary regularity. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1046508.

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Babuska, I., B. Andersson, B. Guo, H. S. Oh, and J. M. Melenk. Finite Element Method for Solving Problems with Singular Solutions. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada301749.

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Babuska, Ivo, and Manil Suri. On Locking and Robustness in the Finite Element Method. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada232245.

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Gerken, Jobie M. An implicit finite element method for discrete dynamic fracture. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/751964.

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