Open Access

ABSTRACT

Transient Response Analysis of Viscoelastic Frames with the Method of Reverberation Ray Matrix

Zhenguo Tu¹, Fuxing Miao¹, Guojun Sun¹

1 Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai, 200030, China

The International Conference on Computational & Experimental Engineering and Sciences 2007, 2(4), 125-130. https://doi.org/10.3970/icces.2007.002.125

Abstract

In this paper the reverberation ray matrix method, which was developed recently by Professor Pao and his colleagues for analyzing dynamic response of elastic trusses or frames, is extended and used to solve the transient response of frames made of viscoelastic bars. Originally for the solution of elastic structure the matrix (I-R)-1 is expanded into Neumann series to circumvent the difficulty of singularity in reversing the matrix in frequency domain. However, it is not necessary to expand this matrix since there is no singularity problem for viscoelastic frame due to viscous damping. The accuracy and effectiveness of applying reverberation ray matrix method is verified by two examples: (1) a fix-free bar subjected to step-like axial load and (2) a viscoelastic frame made of nine members, also subjected to step-like load.

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