| 五自由度强非线性随机振动系统的首次穿越研究 |
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| 引用本文： | 张雷,吴勇军.五自由度强非线性随机振动系统的首次穿越研究[J].振动与冲击,2012,31(12):1-4. |
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| 作者姓名： | 张雷 吴勇军 |
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| 作者单位： | （上海交通大学 工程力学系，上海 200240） |
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| 基金项目： | 国家自然科学基金(11132007,10802030);教育部博士点新教师基金(200802511005) |
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| 摘 要： | 利用基于广义谐和函数的随机平均法,建立了高斯白噪声激励下五自由度强非线性随机振动系统的Pon-tryagin方程及后向Kolmogorov方程。求解这两个高维偏微分方程,得到了系统的平均首次穿越时间、条件可靠性函数以及平均首次穿越时间的条件概率密度。用Monte Carlo数值模拟验证了理论方法的有效性。
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| 关 键 词： | 强非线性系统 首次穿越 随机平均 随机振动 |
| 收稿时间： | 2011-4-11 |
| 修稿时间： | 2011-8-12 |
First-passage of a 5-DOF strongly nonlinear random vibration system |
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| ZHANG Lei,WU Yong-jun.First-passage of a 5-DOF strongly nonlinear random vibration system[J].Journal of Vibration and Shock,2012,31(12):1-4. |
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| Authors: | ZHANG Lei WU Yong-jun |
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| Affiliation: | (Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China) |
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| Abstract: | By using the stochastic averaging method based on generalized harmonic functions,Pontryagin equation and backward Kolmogorov equation of a 5DOF strongly nonlinear vibration system under Gaussian white noise excitation,were established.The mean first-passage time and the conditional reliability function and the conditional probability density function of the mean first-passage time were obtained after solving the above two higher-dimensional partial differential equations.All theoretical results were verified with Monte Carlo numerical simulation. |
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| Keywords: | strongly nonlinear system first-passage stochastic averaging random vibration |
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