On non-smooth dynamics

作者: Friedrich Pfeiffer

DOI: 10.1007/S11012-008-9139-1

关键词: MathematicsDynamics (music)CalculusMathematical economicsNon smooth

摘要: The fundamentals of non-smooth mechanics have been developed in Europe the second half last century and since then continuously extended improved. inclusion into classical multibody theory took place nineties allowing treatment large problems with unilateral contacts, which were not feasible before. One problem still consists relevant computing times, fifteen years could be brought down considerably, partly by a better theoretical description numerical algorithms. This paper describes evolution these processes leading today to quite powerful methods. Nevertheless progress this matter has yet come an end. Industrial examples illustrate theory.

参考文章(27)
Martin Foerg, Thomas Geier, Lutz Neumann, Heinz Ulbrich, r-Factor Strategies for the Augmented Lagrangian Approach in Multi-Body Contact Mechanics Proc. of III European Conference on Computational Mechanics. pp. 316- 316 ,(2006) , 10.1007/1-4020-5370-3_316
John Maten, Bruce Anderson, Continuously Variable Transmission (CVT) SAE International. ,(2006) , 10.4271/PT-125
Remco I. Leine, Henk Nijmeijer, Dynamics and Bifurcations of Non-Smooth Mechanical Systems ,(2004)
Shigeru Kanehara, Toru Fujii, Takashi Kitagawa, A Study on a Metal Pushing V-Belt Type CVT (Part 3: What Forces Act on Metal Blocks?) SAE Technical Paper Series. ,(1994) , 10.4271/940735
Enzmann, Taschenbuch der Mathematik Harri Deutsch. ,(1966)
Toru Fujii, Takemasa Kurokawa, Shigeru Kanehara, A Study of a Metal Pushing V-Belt Type CVT-Part 1: Relation Between Transmitted Torque and Pulley Thrust International Congress & Exposition. ,(1993) , 10.4271/930666
J. J. Moreau, Unilateral Contact and Dry Friction in Finite Freedom Dynamics Springer, Vienna. ,vol. 302, pp. 1- 82 ,(1988) , 10.1007/978-3-7091-2624-0_1
Friedrich Pfeiffer, Martin Foerg, Heinz Ulbrich, Numerical aspects of non-smooth multibody dynamics Computer Methods in Applied Mechanics and Engineering. ,vol. 195, pp. 6891- 6908 ,(2006) , 10.1016/J.CMA.2005.08.012
P. Alart, A. Curnier, A mixed formulation for frictional contact problems prone to Newton like solution methods Applied Mechanics and Engineering. ,vol. 92, pp. 353- 375 ,(1991) , 10.1016/0045-7825(91)90022-X