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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 first-order nonlinear dynamic equations exogenous to Gaussian white noise can obtain accurate steady-state solutions by solving the corresponding FPK equations. Based on this result, the relationship between the nonlinear damped force and the probability structure of the system speed output is deduced. Based on this result, the test problem of the nonlinear damping force parameter in the dynamic system is transformed into the probabilistic structure of the measurement system, and verified by simulation.