干摩擦阻尼系统动力响应分析的迭代方法

本文提出了一种求解干摩擦阻尼系统稳态动力响应的迭代方法.此方法基于一次谐波平衡,同时保证计算状态下与原始模型下干摩擦阻尼器所消耗的能量相等,从而保证了迭代过程收敛,计算精度与等效粘性阻尼法相当.方法可用来分析带任意多个干摩擦阻尼器的系统,并可方便地与有限元分析程序包相连接.算例表明,计算结果与直接积分法所得结果吻合.

An Iterative Method for Dynamic Response Analysis of Dry Frictionally Damped Structures

An iterative method is presented in this paper to analyse the steady state response of dry frictionally damped structures.The method is based on harmonic balanting,and since the calculated energy dissipation is equal to that of the original damper,the convergence of the iteration guaranteed,the precision of analysis is the same as that of the equivalent viscous damping method.The method can be used to analyse structures damped by many dry friction dampers,and is easy to co-operate with any standard finite element program system.Examples show that the results by the method presented agree well with that by the direct integration method.