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首页> 外文期刊>Nonlinear dynamics >Stationary response analysis of vibro-impact system with a unilateral nonzero offset barrier and viscoelastic damping under random excitations
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Stationary response analysis of vibro-impact system with a unilateral nonzero offset barrier and viscoelastic damping under random excitations

机译：具有单边非零偏移势垒和随机激励下粘弹性阻尼的振动冲击系统的平稳响应分析

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摘要

The stationary response analysis of stochastic vibro-impact (VI) dynamical system with a unilateral nonzero offset barrier and viscoelastic damping under additive and multiplicative random excitations is explored. First, the conversion of the original stochastic VI system coupled with viscoelastic damping into an equivalent stochastic VI system without viscoelastic damping terms is performed by adding the equivalent stiffness and damping. Then, the equivalent stochastic VI system is studied according to the level of system energy instead of non-smooth transformation of the previous literature; thus, description on effects of impacts draws support from the loss of the system energy. The energy loss at each impact is found to be related to the restitution factor and the energy level before impact. Furthermore, the probability density functions of the equivalent VI system based on assumption of the weak damping and random perturbation is produced by the application of the stochastic averaging of energy envelope. The effectiveness of the suggested method is verified by comparing the analytical results with those from Monte Carlo simulations.
机译：研究了在加性和乘性随机激励下具有单边非零偏移屏障和粘弹性阻尼的随机振动-冲击（VI）动力系统的平稳响应分析。首先，通过添加等效刚度和阻尼，将原始的随机VI系统与粘弹性阻尼耦合到等效的随机VI系统中，而没有粘弹性阻尼项。然后，根据系统能量的水平研究等效随机VI系统，而不是先前文献的非平稳变换。因此，对撞击影响的描述从系统能量的损失中获得支持。发现每次冲击的能量损失与恢复因子和冲击前的能量水平有关。此外，通过对能量包络线进行随机平均，可以得出基于弱阻尼和随机扰动假设的等效VI系统的概率密度函数。通过将分析结果与蒙特卡洛模拟的分析结果进行比较，验证了所建议方法的有效性。

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