FORCED WAVE PROPAGATION IN VISCOELASTIC CABLE WITH SMALL SAG |
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Authors: | Li Yinghui Gao Qing Jian Kailin YIN Xuegang |
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Institution: | (1) Department of Applied Mechanics and Engineering, Southwest Jiaotong University, 610031 Chengdu, China;(2) State Key Laboratory of Mechanical Transmission, Chongqing University, 400044 Chongqing, China |
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Abstract: | Based on the linear viscoelastic differential constitutive law and cable structural model, the coupled longitudinal-transverse
waves that propagate along a viscoelastic cable with small curvature is investigated. A mathematical model is presented that
describes the three-dimensional nonlinear response of a viscoelastic cable. An asymptotic form of this model is obtained for
the linear response of cables having small equilibrium curvature. The spectral relation governing the propagating waves is
derived using transform methods. The spectral relation is employed in deriving a Green's function that is then used to construct
solutions for in-plane response under distributed harmonic excitation. Analysis of forced response reveals the existence of
two types of periodic waves that propagate through the cable, one characterizing extension-comprehensive deformation and the
other characteristic transverse deformation.
Project supported by the National Natural Science Foundation of China (No. 59635140). |
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Keywords: | viscoelastic cable small equilibrium curvature cut-off frequency free/forced wave dominant waves |
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