https://catalog.jinharsh.co.in/index.php?action=history&feed=atom&title=Non-smooth_mechanics 2026-05-02T22:50:43Z Revision history for this page on the wiki MediaWiki 1.35.1 https://catalog.jinharsh.co.in/index.php?title=Non-smooth_mechanics&diff=5164&oldid=prev 2021-04-11T19:43:41Z

<p>1 revision imported: Mitul Imported from Wikipedia</p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 19:43, 11 April 2021</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Admin https://catalog.jinharsh.co.in/index.php?title=Non-smooth_mechanics&diff=5163&oldid=prev 2020-06-26T09:09:41Z

<p></p> <p><b>New page</b></p><div>{{Multiple issues|<br /> {{Notability|date=January 2020}}<br /> {{No footnotes|date=January 2020}}<br /> }}<br /> {{short description| A modeling approach in mechanics which does not require the time evolutions of the positions and of the velocities to be smooth functions anymore}}<br /> '''Non-smooth mechanics''' is a modeling approach in [[mechanics]] which does not require the time evolutions of the positions and of the velocities to be [[smooth function]]s anymore. Due to possible impacts, the velocities of the mechanical system are even allowed to undergo jumps at certain time instants in order to fulfill the kinematical restrictions. Consider for example a rigid model of a ball which falls on the ground. Just before the impact between ball and ground, the ball has non-vanishing pre-impact velocity. At the impact time instant, the velocity must jump to a post-impact velocity which is at least zero, or else penetration would occur. Non-smooth mechanical models are often used in [[contact dynamics]].<br /> <br /> == See also==<br /> *[[Contact dynamics]]<br /> *[[Unilateral contact]]<br /> *[[Jean Jacques Moreau]]<br /> <br /> ==References==<br /> *Acary V., Brogliato, B. Numerical Methods for Nonsmooth Dynamical Systems. Applications in Mechanics and Electronics. ''Springer Verlag, LNACM 35, Heidelberg, 2008.''<br /> *Brogliato B. Nonsmooth Mechanics. Models, Dynamics and Control. ''Communications and Control Engineering Series, Springer-Verlag, London, 2016 (3rd Ed.)''<br /> *Glocker, Ch. ''Dynamik von Starrkoerpersystemen mit Reibung und Stoessen'', volume 18/182 of ''VDI Fortschrittsberichte Mechanik/Bruchmechanik.'' VDI Verlag, Düsseldorf, 1995<br /> *Glocker Ch. and Studer C. Formulation and preparation for Numerical Evaluation of Linear Complementarity Systems. ''Multibody System Dynamics'' 13(4):447-463, 2005<br /> *Jean M. The non-smooth contact dynamics method. ''Computer Methods in Applied mechanics and Engineering'' 177(3-4):235-257, 1999<br /> *Moreau J.J. '' Unilateral Contact and Dry Friction in Finite Freedom Dynamics,'' volume 302 of '' Non-smooth Mechanics and Applications, CISM Courses and Lectures''. Springer, Wien, 1988<br /> *Pfeiffer F., Foerg M. and Ulbrich H. Numerical aspects of non-smooth multibody dynamics. ''Comput. Methods Appl. Mech. Engrg'' 195(50-51):6891-6908, 2006<br /> *Potra F.A., Anitescu M., Gavrea B. and Trinkle J. A linearly implicit trapezoidal method for integrating stiff multibody dynamics with contacts, joints and friction. ''Int. J. Numer. Meth. Engng'' 66(7):1079-1124, 2006<br /> *Stewart D.E. and Trinkle J.C. An Implicit Time-Stepping Scheme for Rigid Body Dynamics with Inelastic Collisions and Coulomb Friction. ''Int. J. Numer. Methods Engineering'' 39(15):2673-2691, 1996<br /> <br /> [[Category:Mechanics]]<br /> [[Category:Dynamical systems]]</div>

setup>Runsen.zhang