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对于常参数线性阻尼系统，如果系统是亏损的，复模态分析就不再适用。该文基于广义模态分析，研究了亏损系统在白噪声及滤过白噪声这２种典型激励下的平稳随机响应问题，推导了在此激励下系统响应协方差函数矩阵的解析表达式，该表达式只包含有复代数运算，十分便于求解，并且当系统为非亏损时，上述表达式即可简化为非亏损系统随机响应表达式的形式，因此该结果可用于分析包括亏损系统在内的一般线性时不变系统的随机响应问题
For linear damping systems with constant parameters, complex modal analysis is no longer applicable if the system is lossy. Based on the generalized modal analysis, this paper investigates the stationary random response of the lossy system under two kinds of typical stimuli, white noise and white noise filtering. The analytic expression of the system response covariance matrix under this excitation is derived. The expression contains only complex algebraic operations and is very easy to solve, and when the system is non-lossy, the above expression can be simplified as a form of random response expression for a non-lossy system, thus the result can be used to analyze, including lossy systems The Stochastic Response Problem of Constant System under General Linearity