Nonlinear random stability of viscoelastic cable with small curvature |
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Authors: | Li Ying-hui Gao Qing |
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Affiliation: | Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China |
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Abstract: | The nonlinear planar mean square response and the random stability of a viscoelastic cable that has a small curvature and subjects to planar narrow band random excitation is studied. The Kelvin viscoelastic constitutive model is chosen to describe the viscoelastic property of the cable material. A mathematical model that describes the nonlinear planar response of a viscoelastic cable with small equilibrium curvature is presented first. And then a method of investigating the mean square response and the almost sure asymptotic stability of the response solution is presented and regions of instability are charted. Finally , the almost sure asymptotic stability condition of a viscoelastic cable with small curvature under narrow band excitation is obtained. |
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Keywords: | cable mean square response stochastic stability Kelvin viscoelastic model narrow band random excitation |
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