油液阻尼器受指数型高斯色噪声外激励时，活塞在油腔内的运动可用一阶非线性动力学方程描述。在适当扩大了的空间中，其状态是马尔可夫的，通过求解对应的 Ｆ Ｐ Ｋ 方程可得到精确稳态解，即速度响应的概率密度函数。通过数值仿真进行验证是正确的。 When the oil damper is exogenously excited by exponential Gaussian color noise, the movement of the piston in the oil chamber can be described by the first-order nonlinear dynamic equation. In an appropriately enlarged space, its state is Markov. The exact steady-state solution, ie, the probability density function of velocity response, is obtained by solving the corresponding F P K equation. Verification by numerical simulation is correct.