E-Book Overview
This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application; consider for example contacts between wheels and ground in vehicle dynamics, walking machines, limit stops and friction in arbitrary kind of mechanisms or contacts between thousands of grains in granular mechanics. The book focuses mainly on rigid multibody systems dynamics with unilateral contacts and friction, however, the proposed non-smooth modeling approach is much more general and also well suited for non-rigid applications.
Four main topics are addressed:
- Non-smooth modeling of unilateral contacts and friction by set valued force laws,
- Mathematical evaluation of these laws using normal cone inclusions with associated projective equations,
- Numerical time-stepping integration methods for non-smooth systems,
- Implementation in a software code.
The book closes the gap between highly specialized mathematical literature and engineering application, gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for the future development in this promising field of active research.
E-Book Content
Lecture Notes in Applied and Computational Mechanics Volume 47 Series Editors Prof. Dr.-Ing. Friedrich Pfeiffer Prof. Dr.-Ing. Peter Wriggers Lecture Notes in Applied and Computational Mechanics Edited by F. Pfeiffer and P. Wriggers Further volumes of this series found on our homepage: springer.com Vol. 47: Studer, C. Numerics of Unilateral Contacts and Friction 191 p. 2009 [978-3-642-01099-6] Vol. 46: Ganghoffer, J.-F., Pastrone, F. (Eds.) Mechanics of Microstructured Solids 136 p. 2009 [978-3-642-00910-5] Vol. 45: Shevchuk, I.V. Convective Heat and Mass Transfer in Rotating Disk Systems 300 p. 2009 [978-3-642-00717-0] Vol. 44: Ibrahim R.A., Babitsky, V.I., Okuma, M. (Eds.) Vibro-Impact Dynamics of Ocean Systems and Related Problems 280 p. 2009 [978-3-642-00628-9] Vol.43: Ibrahim, R.A. Vibro-Impact Dynamics 320 p. 2009 [978-3-642-00274-8] Vol. 42: Hashiguchi, K. Elastoplasticity Theory 400 p. 2009 [978-3-642-00272-4] Vol. 41: Browand, F., Ross, J., McCallen, R. (Eds.) Aerodynamics of Heavy Vehicles II: Trucks, Buses, and Trains 486 p. 2009 [978-3-540-85069-4] Vol. 40: Pfeiffer, F. Mechanical System Dynamics 578 p. 2008 [978-3-540-79435-6] Vol. 39: Lucchesi, M., Padovani, C., Pasquinelli, G., Zani, N. Masonry Constructions: Mechanical Models and Numerical Applications 176 p. 2008 [978-3-540-79110-2 Vol. 38: Marynowski, K. Dynamics of the Axially Moving Orthotropic Web 140 p. 2008 [978-3-540-78988-8] Vol. 35: Acary, V., Brogliato, B. Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics 545 p. 2008 [978-3-540-75391-9] Vol. 34: Flores, P.; Ambrósio, J.; Pimenta Claro, J.C.; Lankarani Hamid M. Kinematics and Dynamics of Multibody Systems with Imperfect Joints: Models and Case Studies 186 p. 2008 [978-3-540-74359-0] V ol. 33: Nies ony, A.; Macha, E. Spectral Method in Multiaxial Random Fatigue 146 p. 2007 [978-3-540-73822-0] Vol. 32: Bardzokas, D.I.; Filshtinsky, M.L.; Filshtinsky, L.A. (Eds.) Mathematical Methods in Electro-Magneto-Elasticity 530 p. 2007 [978-3-540-71030-1] Vol. 31: Lehmann, L. (Ed.) Wave Propagation in Infinite Domains 186 p. 2007 [978-3-540-71108-7] Vol. 30: Stupkiewicz, S. (Ed.) Micromechanics of Contact and Interphase Layers 206 p. 2006 [978-3-540-49716-5] Vol. 29: Schanz, M.; Steinbach, O. (Eds.) Boundary Element Analysis 571 p. 2006 [978-3-540-47465-4] Vol. 28: Helmig, R.; Mielke, A.; Wohlmuth, B.I. (Eds.) Multifield Problems in Solid and Fluid Mechanics 571 p. 2006 [978-3-54