Abstract
This paper presents a solution procedure for stationary responses of the singledegree- of-freedom inelastic vibroimpact systems under random excitations with a rigid barrier at the equilibrium position. First, the nonsmooth coordinate transformation, as well as an additional impulsive term, is introduced to simplify the vibroimpact system to one without velocity jump. Then, the stationary solutions of joint probability density of displacement and velocity for the simplified system are derived analytically by means of the equivalent nonlinear system method. Finally, responses of the original vibroimpact system are obtained by using the inverse transformation of nonsmooth coordinate transformation. Solutions of several nonlinear vibroimpact systems under different random excitations are discussed in accordance with the proposed procedure. The effectiveness of the analytical solutions is verified by performing appropriate Monte Carlo simulations. Besides, the effects of random excitation intensities on the responses are investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 269-285 |
| Number of pages | 17 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms |
| Volume | 23 |
| Issue number | 4 |
| State | Published - 2016 |
Keywords
- Equivalent nonlinear system method
- Impulsive damping
- Random excitation
- Response analysis
- Vibroimpact system