| 二自由度碰撞振动系统的随机响应 |
| |
| 引用本文： | 刘中华,黄志龙,朱位秋. 二自由度碰撞振动系统的随机响应[J]. 振动工程学报, 2002, 15(3): 257-261 |
| |
| 作者姓名： | 刘中华 黄志龙 朱位秋 |
| |
| 作者单位： | 浙江大学力学系,杭州,310027 |
| |
| 基金项目： | 国家自然科学基金资助项目 (编号 :10 0 0 2 0 15 19972 0 5 96 0 0 340 10 ) |
| |
| 摘 要： | 用拟不可积哈密顿系统随机平均法研究了二自由度磁撞振动系统的随机响应，先将二自由度随机激励的碰撞振动系统表示成随机激励的耗散的哈密顿系统形式，然后用拟不可积哈密顿系统的随机平均法得到了以系统哈密顿函数为基本变量的一维It^↑o随机微分方程，最后用数值方法求解与该方程相应的稳态FPK方程，得到系统响应的平稳概率密度。两个算例的结果与数字模拟结果的比较表明了随机平均法在二自由度磁撞振动系统的随机响应分析中的有效性。
|
| 关 键 词： | 自由度 碰撞激发 随机平均法 随机响应 碰撞振动 |
| 修稿时间： | 2000-09-25 |
Stochastic Response of Two-Degree-of-Freedom Vibro-Impact System |
| |
| Liu Zhonghua Huang Zhilong Zhu Weiqiu. Stochastic Response of Two-Degree-of-Freedom Vibro-Impact System[J]. Journal of Vibration Engineering, 2002, 15(3): 257-261 |
| |
| Authors: | Liu Zhonghua Huang Zhilong Zhu Weiqiu |
| |
| Abstract: | A stochastic response of two degree of freedom vibro impact system is studied by using the stochastic averaging method for quasi non integrable Hamiltonian systems. Firstly, a stochastically excited 2 DOF vibro impact system is formulated as a stochastically excited and dissipated Hamiltonian system. Secondly, the system is reduced to a averaged It stochastic differential equation for Hamiltonian using the stochastic averaging method for quasi non integrable Hamiltonian systems. Finally, the probability density of stationary response of the system is obtained for two special cases. Numerical results are compared with those from digital simulation to verify the applicability of the stochastic averaging method for the analysis of the stochastic response of 2 DOF vibro impact systems. |
| |
| Keywords: | impact excitation vibration effect stochastic averaging method stochastic response |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
