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Asymptotic expansions of vibrations with small unilateral contact

  • S. JuncaEmail author
  • B. Rousselet
Part of the Springer Proceedings in Physics book series (SPPHY, volume 128)

Abstract

We study some spring mass models for a structure having a small unilateral contact with a small parameter \(\varepsilon\).We valid an asymptotic expansion with the method of strained coordinates with new tools to handle such defects, including a non negligible cumulative effect over a long time:\({T_\varepsilon}\sim{\varepsilon^1}\)as usual; or, for a new critical case, we can only expect:\({T_\varepsilon}\sim{\varepsilon^{-1/2}}\).

Keywords

Asymptotic Expansion Periodic Function Simple Root Secular Term Unilateral Contact 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Université de Nice, IUFMNiceFrance
  2. 2.Université de Nice, Parc ValroseNiceFrance

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