Abstract
The paper presents a study of single-degree-of-freedom stochastic vibroimpact problems using numerical path integration (PI). This is a challenging problem due to discontinuities in the state space paths of displacement and velocity response. It is shown that by introducing a suitable transformation of the state space variables, PI can be much simplified, and very accurate numerical results can be obtained. This is verified by comparison with extensive Monte Carlo simulation results.
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Dimentberg, M., Gaidai, O., Naess, A. (2009). Random Vibrations with Inelastic Impacts. In: Ibrahim, R.A., Babitsky, V.I., Okuma, M. (eds) Vibro-Impact Dynamics of Ocean Systems and Related Problems. Lecture Notes in Applied and Computational Mechanics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00629-6_7
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DOI: https://doi.org/10.1007/978-3-642-00629-6_7
Publisher Name: Springer, Berlin, Heidelberg
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