Method of Reverberation Ray Matrix for Dynamic Response of Space Structures Composed of Bar Elements with Damping Effect

摘要

A method of reverberation ray matrix (MRRM) is developed for transient response analysis of space structures composed of bar elements taking into account of damping effect. Based on the forms of exact solution in frequency domain for axial, bending and twisting wave motions in beam structure, displacements and internal forces in the beam can be expressed by arriving and departing vectors, which are determined by evaluating a reverberation ray matrix. The IFFT algorism is finally used to derive transient response of the structures. As an application, a framed structure under impact load is considered as computational model. Comparison with results from FEM shows a high precision in computation for the method. The result shows that high-frequency portions of the response are weakened by effect of damping.