Abstract
Models with a finite number of degrees of freedom including linear terms, nonlinear smooth terms, non smooth terms of friction type and terms with delay under external deterministic or stochastic excitation are considered. Dry friction is introduced via a finite number of Saint-Venant elements. Mathematical descriptions of constitutive laws and models are given. A survey of theoretical results (existence and uniqueness) are recalled. Implicit Euler numerical scheme is then build. Convergence results with order are summarized in both deterministic and stochastic case. A few applications to mechanical systems are provided.
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Lamarque, CH., Bernardin, F., Holland, M., Bastien, J., Schatzman, M. (2012). Discrete Models Including Non-smooth Non-linearities of Friction Type. In: Frémond, M., Maceri, F. (eds) Mechanics, Models and Methods in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24638-8_28
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DOI: https://doi.org/10.1007/978-3-642-24638-8_28
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