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首页> 外文会议>4th International Conference on Structural Dynamics Vol.1, Sep 2-5, 2002, Munich, Germany >Analysis of a vibroimpact system under a Poisson impulse process excitation
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Analysis of a vibroimpact system under a Poisson impulse process excitation

机译：泊松脉冲过程激励下的振动冲击系统分析

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摘要

A single-degree-of-freedom vibroimpact system under a random train of impulses is considered. The system is assumed to be undamped and the energy losses are due to the elastic impacts at the rigid barrier, installed at the system static equilibrium position. The train of impulses is assumed to be driven by a Poisson counting process with a constant mean arrival rate. Impulses magnitudes are assumed to be independent random variables, identically distributed, i.e. characterized by one common probability distribution. Namely, zero mean Gaussian distribution of pulses is considered. The problem is treated by the recently developed Energy Balance method. The analytical results are verified against those obtained from direct numerical simulations. A good agreement of results is found for relatively small values of restitution coefficient characterizing the elastic impacts.
机译：考虑在随机脉冲序列下的单自由度振动冲击系统。假定系统没有阻尼，并且能量损失是由于安装在系统静态平衡位置的刚性护栏处的弹性冲击引起的。假定脉冲序列是由泊松计数过程以恒定的平均到达速率驱动的。假设脉冲大小是独立的随机变量，它们是均匀分布的，即以一种常见的概率分布为特征。即，考虑零平均高斯脉冲分布。最新开发的能量平衡方法可以解决该问题。将分析结果与直接数值模拟获得的结果进行了验证。对于表征弹性冲击的相对较小的恢复系数值，发现了很好的结果一致性。

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