Dynamic Analysis of Three-Dimensional Framed Structure by the Method of Reverberation-Rays
|關鍵字:||迴傳波射法;入射波;出射波;迴傳矩陣靜力分析;method of reverberation-rays;arrival wave;departure wave;method of reverberation matrix|
This study follows the previous research of Pao, Howard and Keh, to analyze the stress waves of axial, torsional, and bending waves propagating in structural members, based on the theory of elastic waves. The overall transient response of the structure at any observing point can be obtained by superposing the arriving waves via scattering, refraction and reflection traced in time. This process is referred to as the method of reverberation-ray. In this thesis, treatments of various boundary conditions of the structural members are presented in details, along with the numerical procedure for dynamic analysis of 3-D space frame. Moreover, the causality between the arrival and departure waves is explored, and the previous derived formula is modified accordingly for improved accuracy. Theoretical development of the method of reverberation-ray has been completed. Similar technique has been developed for static analysis of structures and referred to as the method of reverberation matrix. The process of summing the solutions term by term is physically equivalent to the classical moment distribution method.