基于FPK方程的减摆器的非线性阻尼测试方法

A METHOD OF MEASURING THE NONLINEAR DAMPING OF OLEO DAMPER

受高斯白噪声外激的一阶非线性动力学方程能通过求解对应的FPK方程得到精确稳态解．本文基于这一结果导出减摆器非线性阻尼力与系统速度输出的概率结构的关系，将动力学系统中非线性阻尼力参数的测试问题转化测量系统的概率结构，并通过仿真进行了验证．

The exact stationary solution for any first order nonlinear dynamic problems excited by Gaussian white noise has been obtained by solving its corresponding FO her- P I anck- Kolmogorov equation. In this paper the relationship between the nonlinear damping force and the transition probability density of velocity response of OLEO damper excited by Gaussian white noise has been obtained, which is based on the exact stationary solution of FPK equation. So we can get the nonlinear damping force parameters by measuring velocity response of OLEO damper. This method has been proved by numerical simulation.