| 高斯白噪声激励的阻尼耦合的两个杜芬-范德波振子的近似瞬态响应 |
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| 引用本文： | 周强,金肖玲,黄志龙.高斯白噪声激励的阻尼耦合的两个杜芬-范德波振子的近似瞬态响应[J].振动工程学报,2010,23(2). |
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| 作者姓名： | 周强 金肖玲 黄志龙 |
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| 作者单位： | 浙江大学力学系,浙江,杭州,310027 |
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| 基金项目： | 浙江省自然科学基金，高校博士点专项研究基金 |
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| 摘 要： | 研究受高斯白噪声作用下的非线性阻尼耦合的两个杜芬-范德波振子响应的近似瞬态概率密度。应用基于广义谐和函数的随机平均法,并将幅值的瞬态概率密度的近似解表示为拉盖尔正交基函数的级数和,其中系数是随时间变化的,用Galerkin法可得到幅值的近似瞬态概率密度,从而得到状态变量响应的近似瞬态概率密度,数值模拟结果表明该方法有很好的适用性及精度。
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| 关 键 词： | 杜芬-范德波振子 随机平均法 瞬态概率密度 |
Approximately nonstationary responses of two Duffing-Van der Pol oscillators with coupled damping subjected to Gaussian white noise excitations |
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| ZHOU Qiang,JIN Xiao-ling,HUANG Zhi-long.Approximately nonstationary responses of two Duffing-Van der Pol oscillators with coupled damping subjected to Gaussian white noise excitations[J].Journal of Vibration Engineering,2010,23(2). |
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| Authors: | ZHOU Qiang JIN Xiao-ling HUANG Zhi-long |
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| Affiliation: | ZHOU Qiang,JIN Xiao-ling,HUANG Zhi-long(Department of Mechanics,Zhejiang University,Hangzhou 310027,China) |
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| Abstract: | The nonstationary probability densities for responses of two DuffingVan der Pol oscillators with coupled nonlinear damping subject to Gaussian white noise excitations are investigated.Firstly,the stochastic averaging method based on generalized harmonic functions is applied.Then,the nonstationary probability density for amplitude response is approximately expressed as a series expansion in terms of a set of Laguerre orthogonal basis functions with time-dependent coefficients.Finally,the approximate solution... |
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| Keywords: | Duffing-Van der Pol oscillator stochastic averaging method nonstationary probability density |
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