| 一类非线性系统在随机激励下的分叉 |
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| 引用本文： | 杨槐,朱华.一类非线性系统在随机激励下的分叉[J].应用力学学报,1993,10(4):69-71. |
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| 作者姓名： | 杨槐 朱华 |
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| 作者单位： | 北京理工大学，北京理工大学，北京理工大学 北京 100081，北京 100081，北京 100081 |
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| 摘 要： | 本文研究一类阻尼为线性，弹性恢复力为非线性的振动系统在随机外部激励作用下的随机分叉。文中采用广义稳态势和方法，求解系统响应的稳态联合概率密度函数。在此基础上根据由不变测度定义的随机分叉，讨论了具有权式分叉的确定性非线性系统在随机扰动下分叉行为。
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| 关 键 词： | 非线性 弹性力学 分叉 随机激励 |
Bifurcations of a Class of Nonlinear Systems under Stochastic Excitation |
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| Yang Em,Zhu Hua Chu Yiqing.Bifurcations of a Class of Nonlinear Systems under Stochastic Excitation[J].Chinese Journal of Applied Mechanics,1993,10(4):69-71. |
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| Authors: | Yang Em Zhu Hua Chu Yiqing |
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| Institution: | Beijing Inst. of Tech. |
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| Abstract: | Stochastic bifurcation of a class of nonlinear vibration systems with linear damping and nonlinear stiffness is discussed under external white noise excitation.Generalizd stationary Potential Method is used to obtain the stationary joint probability density.According to the stochastic bifurcation defined by invariant measure,this paper investigated the stochastic.bifurcation of determined nonlinear systems with pitchfork under external white noise exitation. |
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| Keywords: | nonlinear system stochastic bifurcation generatized stationary potential pitck fork bifurcation |
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