摘要
为了研究在特殊随机激励下 ,色噪声对阻尼器响应的影响 ,直接从二维马尔可夫型方程出发来处理色噪声驱动的一维问题 .从而导出了油液阻尼器受指数型高斯色噪声外激励时的速度响应的概率密度函数 .还导出了当指数型高斯色噪声外激励相关时间足够长时的速度概率密度函数 .此函数具有一种特殊形式 .最后 ,通过数值仿真验证了本文的结果是正确的 .
For the purpose of revealing the influence of colored noise on the response of oleo damper subject to special random excitation, this paper deals with the one dimension problem caused by colored noise by using the two dimensions Markov equation. The probability density function of velocity response of oleo damper excited by exponential colored Gaussian noise has been obtained. In addition, a special expression of probability density function of velocity response under the condition that the outer excitement correlation time of exponential colored Gaussian noise is long enough has been got. These results have been verified by numerical simulation.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2000年第3期8-11,共4页
Journal of Harbin Institute of Technology
基金
"九五"国防预研项目资助!(A9660 0 0 5 0 )
关键词
动力学系统
随机振动
油液阻尼器
dynamic system
stochastic vibration
nonlinear damping
FPK(Fokker Planck Kolmogorov) equation