本文提出了一种计算微阻尼、弱非线性体系受平稳宽频带随机过程干扰时,平稳和非平稳包络反应首通概率的近似解析方法。在等价线性化方法的基础上,用一维MapKon过程代替描述包络反应过程的微分方程,用摄动法求解修改的(向后)方程。得到了首通概率的解析解。作为例子,把本文提出的方法用于Duffing型体系,并把理论结果与数字模拟结果进行了比较。 This paper presents an approximate analytical method for calculating the first-pass probability of stationary and non-stationary envelope responses when a micro-damped and weakly nonlinear system is disturbed by a stationary, broadband, random process. Based on the equivalent linearization method, the one-dimensional MapKon process is used to replace the differential equation describing the envelope response process, and the perturbation method is used to solve the modified (backward) equation. The analytical solution of the first pass probability is obtained. As an example, the method proposed in this paper is applied to the Duffing type system, and the theoretical results are compared with the results of digital simulation.