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Effective Modelling of Sticking Motions in Vibro-Impacting Continuous Systems

[+] Author Affiliations
Chandrika P. Vyasarayani, Sukhpreet Singh Sandhu, John McPhee

University of Waterloo, Waterloo, ON, Canada

Paper No. IMECE2010-39485, pp. 1165-1173; 9 pages
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 8: Dynamic Systems and Control, Parts A and B
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4445-8
  • Copyright © 2010 by ASME


In this work we propose a new methodology to simulate sticking motions occurring in vibro-impacting continuous systems. We have developed this method in the framework of the coefficient of restitution approach. During the sticking phase, the sticking constraints are imposed exactly using a Lagrange multiplier, which represents the reaction between the continuous system and the obstacle. The expression for the Lagrange multiplier is developed in closed form. The proposed method does not require the mode-shapes during the sticking phase, unlike the mode-switching method. The developed methodology is supported by illustrative numerical simulations.

Copyright © 2010 by ASME
Topics: Motion , Modeling



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