NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (8): 970-978.

NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE

李映辉, 高庆

Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China

收稿日期:2002-01-08 修回日期:2003-04-21 出版日期:2003-08-18 发布日期:2003-08-18

NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE

LI Ying-hui, GAO Qing

Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China

Received:2002-01-08 Revised:2003-04-21 Online:2003-08-18 Published:2003-08-18

摘要/Abstract

摘要： 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.

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.

中图分类号:

李映辉;高庆. NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(8): 970-978.

LI Ying-hui;GAO Qing. NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(8): 970-978.

参考文献

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NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE

NONLINEAR RANDOM STABILITY OF VISCOELASTIC CABLE WITH SMALL CURVATURE

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