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一类双线性系统受零均值平稳高斯白噪声激励时的FPK解 被引量:1
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作者 王国砚 史宇炜 《振动与冲击》 EI CSCD 北大核心 2002年第1期20-23,15,共5页
本文首先在文献 [1]的基础上进一步分析研究了具有一般形式对称双线性恢复力的非线性系统受零均值平稳高斯白噪声激励时的FPK解 (即位移响应的概率密度函数 ) ;在此基础上 ,针对一类特殊的双线性系统给出了相应的FPK解。
关键词 双线性系统 随机振动 fpk解 非线性系统 非线性恢复力 数值计算
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Probability density function solution to nonlinear ship roll motion excited by external Poisson white noise 被引量:2
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作者 ER GuoKang ZHU HaiTao +1 位作者 IU VaiPan KOU KunPang 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第5期1121-1125,共5页
The stationary probability density function (PDF) solution to nonlinear ship roll motion excited by Poisson white noise is analyzed. Subjected to such random excitation, the joint PDF solution to the roll angle and an... The stationary probability density function (PDF) solution to nonlinear ship roll motion excited by Poisson white noise is analyzed. Subjected to such random excitation, the joint PDF solution to the roll angle and angular velocity is governed by the generalized Fokker-Planck-Kolmogorov (FPK) equation. To solve this equation, the exponential-polynomial closure (EPC) method is adopted. With the EPC method, the PDF solution is assumed to be an exponential-polynomial function of state variables. Special measure is taken such that the generalized FPK equation is satisfied in the average sense of integration with the assumed PDF. The problem of determining the unknown parameters in the approximate PDF finally results in solving simultaneous nonlinear algebraic equations. Both slight and high nonlinearities are considered in the illustrative examples. The analysis shows that when a second-order polynomial is taken, the result of the EPC method is the same as the one given by the equivalent linearization (EQL) method. The EQL results differ significantly from the simulated results in the case of high nonlinearity. When a fourth-order or sixth-order polynomial is taken, the results of the EPC method agree well with the simulated ones, especially in the tail regions of the PDF. This agreement is observed in the cases of both slight and high nonlinearities. 展开更多
关键词 probability density function ship roll motion Poisson white noise stochastic process NONLINEARITY
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