Nonlinear vibration analysis of viscoelastic cable with small sag |
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Authors: | Li Yinghui Jian Kailin Gao Qing and Yin Xuegang |
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Institution: | (1) Department of Applied Mechanics and Engineering, Southwest Jiaotong University, 610031 Chengdu, China;(2) Department of Engineering Mechanics, Chongqing University, 400044 Chongqing, China |
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Abstract: | Both the inplane and out-of-plane transverse vibrations of a viscoelastic cable subjected to an initial stress distributing
uniform on the cross section are studied. The constitution of the cable material is assumed to be of the hereditary integral
type. The partial differential-integral equations of motion are derived first. Then by applying Galerkin's method, the governing
equations are reduced to a set of second-order nonlinear differential-integral equations which are solved by finite difference
numerical integration procedures. Finally, the effects of the viscosity parameter and the elastic parameter on the transient
amplitudes of the first mode are investigated by numerical simulation.
Project supported by the National Natural Science Foundation of China (No. 59635140) and the National Postdoctoral Foundation
of China. |
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Keywords: | viscoelastic cable small sag integral constitutive law differential-integral equations |
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