非经典阻尼体系的求解方法综述

A Review of Methods for Solving the Non-Classical Damping System

在结构动力学方程中,阻尼被视为核心参数。经典阻尼假定适用于阻尼较小、质量和刚度分布比较均匀的建筑物。然而,实际工程结构的动力特性分布不均匀,如复合材料、混合结构、减隔振结构等。在分析该类结构,经典阻尼结构假定给结构反应分析带来显著的误差。为解决这一问题,研究者采用了非经典阻尼假定。为获得非经典阻尼假定下的结构动力响应,对结构动力分析方法进行论述,总结其特点和适用范围。

Damping is considered as a core parameter in structural dynamic equations.The classical damping as-sumption is acceptable for buildings with small damping and the relatively uniform distribution of mass and stiffness.However,the distribution of the dynamic characteristics of actual engineering structures is uneven,such as compos-ite materials,hybrid structures and vibration reduction and isolation structures.In the analysis of such structures,the assumption of classical damping structures brings significant errors to structural response analysis.In order to solve this issue,scholars have adopted the non-classical damping assumption.In order to obtain the structural dynamic re-sponse under the non-classical damping assumption,this paper discusses the structural dynamic analysis method,and summarizes its characteristics and scope of applicable.