把微分方程数值积分的 Runge- Kutta方法引入非均匀调制随机激励下的演变随机响应计算问题中来 ,使复杂的演变随机响应问题得到简便的解决 .通过计算实例 ,并同复模态分析方法比较 ,说明了该方法的有效性和精确性 .该方法不需要进行复杂、费时的复特征值运算 ,只需要直接数值积分 ,具有公式简单 ,编程容易 ,计算速度快等优点 ,特别适合于工程实际问题的计算 . The Runge-Kutta method for the numerical integration of differential equations is introduced into the problem of evolutionary random response under the non-uniform modulation random excitation to solve the complex evolutionary random response problem easily.According to the calculation example and comparison with the complex modal analysis method , Which shows the effectiveness and accuracy of the proposed method.The method does not require complex and time-consuming complex eigenvalue calculation, only requires direct numerical integration, has the advantages of simple formula, easy programming and fast calculation speed, and is especially suitable for engineering practice Calculation of the problem.