Random vibrations with strongly inelastic impacts: response PDF by the path integration method. (English) Zbl 1203.74145
Summary: 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.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 60H35 | Computational methods for stochastic equations (aspects of stochastic analysis) |
| 74M20 | Impact in solid mechanics |
| 65C05 | Monte Carlo methods |
