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Russia Perm
Year
2012
Issue
2
Pages
139-155
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Section Mechanics
Title Classification of the models of rigid multibody systems applied for the numerical analysis of mechanical structures' dynamic behavior
Author(-s) Ivanov V.N.a, Dombrovskii I.V.b, Nabokov F.V.b, Shevelev N.A.b, Shimanovskii V.A.a
Affiliations Perm State National Research Universitya, Perm National Research Polytechnical Universityb
Abstract The classification of the dynamic equations forms for the rigid multibody systems with tree structure has been presented. The classification is based on the compact matrix forms of multibody systems' kinematic and dynamic equations derived through the matrix of kinematic structure and geometrical approach for relative motion description. The unified form of motion's equations is suitable for representing and comparing of various approaches to the modeling of rigid multibody systems' dynamics. The comparative analysis of computational efficiency has been carried out in relation to various methods of formulation and solution for motion equations of rigid multibody systems.
Keywords dynamics of multibody systems, time-domain method, matrix computations
UDC 531.011, 531.8
MSC 70E55
DOI 10.20537/vm120213
Received 28 February 2012
Language Russian
Citation Ivanov V.N., Dombrovskii I.V., Nabokov F.V., Shevelev N.A., Shimanovskii V.A. Classification of the models of rigid multibody systems applied for the numerical analysis of mechanical structures' dynamic behavior, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 2, pp. 139-155.
References
  1. Adams: Multibody Dynamics Simulation, MSC Software, 2012. http://www.mscsoftware.com/Products/CAE-Tools/Adams.aspx
  2. Byachkov A.B., Ivanov V.N., Shimanovskii V.A. Classification of various forms of dynamic multibody equations with tree structure, Vestn. Perm Univ. Mat. Mekh. Inform., 2009, no. 7 (33), pp. 21-25.
  3. Velichenko V.V. Matrichno-geometricheskie metody v mekhanike s prilozheniyami k zadacham robototekhniki (Matrix-geometrical methods in the mechanic with appendices to problems of a robotics), Moscow: Nauka, 1988, 384 p.
  4. Vereshchagin A.F. Method of modeling on the digital computer of dynamics of complex mechanisms of robots-manipulators, Izv. Akad. Nauk SSSR, Tekhn. Kibernet., 1974, no. 6, pp. 89-94.
  5. Wittenburg J. Dynamics of systems of rigid bodies, Stuttgart: B. G. Teubner, 1977, 224 p. Translated under the title Dinamika sistem tverdykh tel, Moscow: Mir, 1980, 292 p.
  6. Ivanov V.N., Shimanovskii V.A. Use of iteration algorithms for solution of the motion's equations of mechanical systems at their numerical integration, Vestn. Perm Univ. Mat. Mekh. Inform., 2006, no. 4 (4), pp. 28-38.
  7. Ivanov V.N., Shimanovskii V.A. Use of iteration algorithms for solution of the motion's equations of multibody systems, Vestn. Perm Univ. Mat. Mekh. Inform., 2008, no. 4 (20), pp. 109-116.
  8. Lilov L.K. Modelirovanie sistem svyazannykh tel (Modeling of systems of the associated bodies), Moscow: Nauka, 1993, 272 p.
  9. Pogorelov D.Y. Vvedenie v modelirovanie dinamiki sistem tel (Introduction in modeling dynamics of multibody systems), Bryansk: Bryansk State Technical University, 1997, 156 p.
  10. Pogorelov D.Y. Algorithms for generation and numerical integration of motion equations for large multibody systems, Vos'moi vserossiiskii s"ezd po teoreticheskoi i prikladnoi mekhanike: annot. dokl. (Eighth All-Russian congress on theoretical and applied mechanics: abstracts), Perm, 2001, pp. 490-491. http://www.iki.rssi.ru/seminar/20011025/abstract.htm
  11. Universal Mechanism: road and railway vehicle dynamics, applied dynamics, general kinematics, inverse kinematics, Laboratory of Computational Mechanics, Bryansk State Technical University, Bryansk, 2012. http://www.umlab.ru/index.htm
  12. FRUND: Software for simulation the multibody dynamics of the rigid and flexible bodies, Volgograd State Technical University, Volgograd, 2005. http://frund.vstu.ru/en/frund.htm
  13. Shimanovskii V.A., Ivanov V.N. Generation the motion's equations of mechanical systems in the generalized coordinates, Problemy mekhaniki i upravleniya: Nelineinye dinamicheskie sistemy: mezhvuzovskii sbornik nauchnykh trudov (Problems of mechanics and controls: Nonlinear dynamical systems: Transactions), Perm State University, Perm, 2005, no. 37, pp. 188-201.
  14. Shimanovskii V.A., Ivanov V.N. Methods of generation of the motion's equations for systems of the associated rigid bodies in Cartesian coordinates, Problemy mekhaniki i upravleniya: Nelineinye dinamicheskie sistemy: mezhvuzovskii sbornik nauchnykh trudov (Problems of mechanics and controls: Nonlinear dynamical systems: Transactions), Perm State University, Perm, 2007, no. 39, pp. 248-262.
  15. EULER: Program complex of the computer-aided dynamic analysis of multicomponent mechanical systems, ZAO AvtoMekhanika, 2011. http://www.euler.ru/index.php/euler
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