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一类受高斯白噪声激励的非线性动力学方程能通过求解对应的 Ｆ Ｐ Ｋ 方程得到精确稳态解。本文基于这一结果导出非线性恢复力与系统位移输出的概率度的关系，将动力学系统中非线性（恢复力的非线性）结构参数的辨识问题转化为求解系统的概率密度，是一种新的尝试，结果经数值仿真是可行的。但所研究系统限于单自由度非线性恢复力系统，其中线性部分的参数已知，待辨识部分为非线性恢复力
A class of nonlinear dynamic equations excited by Gaussian white noise can obtain accurate steady-state solutions by solving the corresponding F P K equation. Based on this result, this paper deduces the relationship between the nonlinear restoring force and the probability of the system displacement output, and transforms the identification of nonlinear (restoring force nonlinearity) structural parameters in the dynamical system into the probability density of the system The new attempt, the result of numerical simulation is feasible. However, the system under study is limited to a single degree of freedom nonlinear restoring force system, in which the parameters of the linear part are known and the part to be identified is the nonlinear restoring force