非经典阻尼结构两种近似求解方法比较与分析

The structure of the two non-classical damping approximate solution method comparison and analysis

对于建筑结构的抗震研究通常要采用多自由度模型来进行分析和求解。对于多自由度结构体系往往运动方程是藕联的,给运动方程的求解带来不便。在大多数情况下结构的阻尼是非经典阻尼,本文采用强迫解耦法和瑞利阻尼来对运动方程进行解耦,从而将多自由度方程化为多个单自由度运动方程。最后通过算例对这两种算法进行比较、分析,找到计算相对比较简便且精度满足要求的方法。

The structural seismic research typically use of multiple degree of freedom model of and the solution.For the structure with multiple degrees of freedom system often equations of motion are coupled to the motion equations,solving inconvenience.In most cases the damping is a non-classical damping,this paper adopts forced uncoupling method and Rayleigh damping to the equations of motion are decoupled,thereby the multiple degree of freedom equations into a plurality of single degree of freedom motion equation.An example of the two algorithms are compared,analysis,find the calculation is relatively simple and accuracy to meet the requirements of the method.