Dynamic Response of Viscoelastic Beam

Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (2): 255-264.

Dynamic Response of Viscoelastic Beam

孙家驹¹, 金开骅²

1. Northwestern Institute of Architecture and Construction, Xian;
2. Design Department, Construction Bureau, Ministry of Railway, Xian

收稿日期:1980-07-07 出版日期:1981-03-18 发布日期:1981-03-18

Dynamic Response of Viscoelastic Beam

Sun Jia-ju¹, Jing Ke-hwa²

1. Northwestern Institute of Architecture and Construction, Xian;
2. Design Department, Construction Bureau, Ministry of Railway, Xian

Received:1980-07-07 Online:1981-03-18 Published:1981-03-18

摘要/Abstract

摘要： Dynamic analysis of the viscoelastic simple supported beam has been made in accordance with the relationship between stress and strain expressed by the simplest Voigt mechanical model, from which several analytic expressions have been obtained.Jt is shown that the reduction of the ratio of. natural frequencies progresses with the increase of the exciting frequency for high modes (Tab.1). In the final part of this paper, the forced vibration of simple supported beam subjected to a random and harmonic excitation has also been dealt with, and the representations of the beam deflection have been derived.

关键词: potential/elasticity problems, analytical method, boundary element

Abstract: Dynamic analysis of the viscoelastic simple supported beam has been made in accordance with the relationship between stress and strain expressed by the simplest Voigt mechanical model, from which several analytic expressions have been obtained.Jt is shown that the reduction of the ratio of. natural frequencies progresses with the increase of the exciting frequency for high modes (Tab.1). In the final part of this paper, the forced vibration of simple supported beam subjected to a random and harmonic excitation has also been dealt with, and the representations of the beam deflection have been derived.

Key words: potential/elasticity problems, analytical method, boundary element

孙家驹;金开骅. Dynamic Response of Viscoelastic Beam[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(2): 255-264.

Sun Jia-ju;Jing Ke-hwa. Dynamic Response of Viscoelastic Beam[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(2): 255-264.

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Dynamic Response of Viscoelastic Beam

Dynamic Response of Viscoelastic Beam

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