用回传波射矩阵法求解框架在突加位移作用下的瞬态响应

TRANSIENT RESPONSE OF FRAMES SUBJECTED TO SUDDENLY APPLIED DISPLACEMENT WITH THE METHOD OF REVERBERATION RAY MATRIX

近年来,Pao等人提出了求解桁架或框架在冲击载荷作用下动态响应的新方法——回传波射矩阵法。该方法提供了桁架和框架结构用弹性波方法求瞬态响应的一种新的频域矩阵分析法。将该方法的分析和程序扩展到阶跃位移载荷的情形,通过单根梁在右端突加阶跃位移的回传波射矩阵法解与Mindlin解之比较验证了分析和程序的正确性。然后利用回传波射矩阵法求解了17根杆件框架承受突加阶跃位移时的瞬态响应,并对结果进行了分析和讨论。

Recently Pao and his colleagues proposed a method to solve the transient response of trusses and frames under impact load: the method of reverberation ray matrix.This is a novel matrix method of obtaining transient response of trusses and frames in frequency domain with elastic wave approach,which extends analysis and computer program to including the case of a structure subjected to suddenly applied displacement.The reliability of the method of reverberation ray matrix is verified by comparing the solution of a single beam subjected to right-end suddenly applied step displacement with Mindlin's solution.The transient responses of a 17 bar frame subjected to suddenly applied step displacement are solved and the results are discussed.