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本文通过对液体减振器在白噪声型激振力的作用下的运动分析,建立活塞运动微分方程。由于激励的高斯白噪声特征,导致确定性的线性系统的响应的高斯白噪声特性和“F P K”方程的建立。采用付利叶变换和拉格朗日方法~2求得“F P K”方法的精确解。在阻尼力远大于惯性力的条件下,对“FPK”方程的精确解加以简化而得到近似解。
In this paper, differential motion of piston is established through the motion analysis of the liquid shock absorber under white noise exciting force. Due to the Gaussian white noise characteristics of the excitation, the Gaussian white noise characteristics of the response of the deterministic linear system and the establishment of the “F P K” equation are established. The exact solution to the “F P K” method is obtained using the Fourier transform and the Lagrange method. Under the condition that the damping force is far greater than the inertial force, the exact solution of the “FPK” equation is simplified and an approximate solution is obtained.