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:\({T_\varepsilon}\sim{\varepsilon^{-1/2}}\).
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© 2009 Springer-Verlag Berlin Heidelberg
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Junca, S., Rousselet, B. (2009). Asymptotic expansions of vibrations with small unilateral contact. In: Leger, A., Deschamps, M. (eds) Ultrasonic Wave Propagation in Non Homogeneous Media. Springer Proceedings in Physics, vol 128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89105-5_15
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DOI: https://doi.org/10.1007/978-3-540-89105-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89104-8
Online ISBN: 978-3-540-89105-5
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