Asymptotic expansions of vibrations with small unilateral contact

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


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:\({T_\varepsilon}\sim{\varepsilon^{-1/2}}\).


Asymptotic Expansion Periodic Function Simple Root Secular Term Unilateral Contact 
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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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