Multibody dynamics 2011, ECCOMAS Thematic Conference. J.C. Samin, P. Fisette (eds.) Brussels, Belgium, 4-7 July 2011
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In Werner Schiehlen and Michael Valasek (eds.) Preprints of the NATO Advanced Study Institute on Virtual Nonlinear Multibody Systems, Czech Technical University in Prague, Prague, 2002, pp. 159-164
Integration of stiff equations of motion of multibody systems using implicit numerical methods, calculation of equilibrium positions, linearization of equations, constructing optimal controls and some other important tasks require computations of a Jacobian matrix. Its evaluation by finite differences is about 13 times more expensive than that for the mass matrix of the system. Some algorithms aimed to decreasing the corresponding computational efforts are discussed in the paper. They could improve considerably the efficiency of numerical analysis of large multibody systems.
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Programme and Abstracts. EUROMECH 398, Colloquium on Fluid-Structure Interaction in Ocean Engineering, Technical University Hamburg-Harburg, Hamburg, Germany, October 11-14, 1999.
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Mechanism and machine theory 34, pp. 791-800, 1999.
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Numerical algorithms, pp. 183-194, 1998.
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Seismological Research Letters, Volume 81, Number 5, September/October 2010, P. 804-810.
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Сборник трудов ДИИТа №14, Днепропетровск, ДИИТ, 2007. С. 123-127.
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Журнал вычислительной математики и математической физики., № 4, 501-506, 1995. Рассмотрены алгоритмы численного решения дифференциально-алгебраических уравнений движения системы связанных твердых тел, основанные на модификациях многошаговых методов типа Адамса и численного дифференцирования назад (ч.д.н.)
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Interaction between Dynamics and Control in Advanced Mechanical Systems. Proc. IUTAM Symp. Eindhoven, 21-26 April 1996. Dordrecht: Kluwer Acad. Publ, pp. 313-320, 1997. Some methods and algorithms for optimal computer-aided modeling of multibody systems are considered. Special approaches to the computerized symbolic generation of motion equations are discussed. The described methods are realized in the program package Universal Mechanism (UM). Their application to modeling technical objects such as a six-legged walking mechanism and spatial cable systems are presented.