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Random vibrations with strongly inelastic impacts: Response PDF by the path integration method |
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| Authors: | MF Dimentberg A Naess |
| Institution: | a Mechanical Engineering Department, Worcester Polytechnic Institute, Worcester, MA 01609, USA b Marintek AS, NO-7491 Trondheim, Norway c Centre for Ships and Ocean Structures and Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway |
| Abstract: | This paper presents a study of SDOF 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. |
| Keywords: | Random vibrations Path integration Vibroimpact system Inelastic impacts |
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