在结构上粘贴高阻尼粘弹材料以减小振动,已成为当今普遍采用的减振技术。本文应用随机平均法分析了单自由度粘弹阻尼结构在具有宽带渐进谱的非平稳激励作用下的非平稳随机响应,然后采用模态迭加的方法进一步分析了常见的两种阻尼减振结构——无约束阻尼梁和约束阻尼梁的非平稳响应,并根据所得结果讨论了减小结构非平稳响应的方法。 Adhesion of highly damped viscoelastic material to the structure to reduce vibration has become a commonly used damping technique today. In this paper, the random average method is used to analyze the non-stationary random response of a single-degree-of-freedom viscoelastic damped structure under non-stationary excitation with a wideband asymptotic spectrum. Then, two common damping damping structures are further analyzed by modal superposition method. - Non-constrained damping beam and constrained damping beam’s non-stationary response, and based on the results obtained discussed the method to reduce the non-stationary response of the structure.