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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (6): 664-671.

• 论文 • 上一篇    下一篇

NONLINEAR TRANSIENT RESPONSE OF STAY CABLE WITH VISCOELASTICITY DAMPER IN CABLE-STAYED BRIDGE

陈水生1, 孙炳楠2, 冯义卿3   

  1. 1. School of Architecture and Civil Engineering, East China Jiaotong University, Nanchang 330013, P. R. China;
    2. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;
    3. Highway Development Company of Jiangxi, Nanchang 330006, P. R. China
  • 收稿日期:2002-03-12 修回日期:2003-12-02 出版日期:2004-06-18 发布日期:2004-06-18
  • 基金资助:
    the National Natural Science Foundation of Jiangxi Province(0350061)

NONLINEAR TRANSIENT RESPONSE OF STAY CABLE WITH VISCOELASTICITY DAMPER IN CABLE-STAYED BRIDGE

CHEN Shui-sheng1, SUN Bing-nan2, FENG Yi-qing3   

  1. 1. School of Architecture and Civil Engineering, East China Jiaotong University, Nanchang 330013, P. R. China;
    2. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;
    3. Highway Development Company of Jiangxi, Nanchang 330006, P. R. China
  • Received:2002-03-12 Revised:2003-12-02 Online:2004-06-18 Published:2004-06-18
  • Supported by:
    the National Natural Science Foundation of Jiangxi Province(0350061)

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摘要： Taking the bending stiffness, static sag, and geometric non-linearity into consideration, the space nonlinear vibration partial differential equations were derived. The partical differential equations were discretized in space by finite center difference approximation, then the nonlinear ordinal differential equations were obtained. A hybrid method involving the combination of the Newmark method and the pseudo-force strategy was proposed to analyze the nonlinear transient response of the inclined cable-dampers system subjected to arbitrary dynamic loading. As an example, two typical stay cables were calculated by the present method. The results reveal both the validity and the deficiency of the viscoelasticity damper for vibration control of stay cables. The efficiency and accuracy of the proposed method is also verified by comparing the results with those obtained by using Runge-Kutta direct integration technique. A new time history analysis method is provided for the research on the stay cable vibration control.

Abstract: Taking the bending stiffness, static sag, and geometric non-linearity into consideration, the space nonlinear vibration partial differential equations were derived. The partical differential equations were discretized in space by finite center difference approximation, then the nonlinear ordinal differential equations were obtained. A hybrid method involving the combination of the Newmark method and the pseudo-force strategy was proposed to analyze the nonlinear transient response of the inclined cable-dampers system subjected to arbitrary dynamic loading. As an example, two typical stay cables were calculated by the present method. The results reveal both the validity and the deficiency of the viscoelasticity damper for vibration control of stay cables. The efficiency and accuracy of the proposed method is also verified by comparing the results with those obtained by using Runge-Kutta direct integration technique. A new time history analysis method is provided for the research on the stay cable vibration control.

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