地基波动影响下非线性粘弹性桩的混沌运动分析
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国家自然科学基金资助项目(50278051);上海市重点学科建设资助项目


Chaotic motion analysis in piles of nonlinear viscoelastic materials considering the motion of ground soil
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    摘要:

    研究了在地基波动影响下非线性粘弹性桩中的混沌运动.假定桩体材料满足Leaderman非线性粘弹性本构关系,得到在轴向载荷作用下满足Winkler条件的地基土波动方程、桩与地基土耦合振动方程;利用Galerkin方法将非线性积分微分方程简化,并进行了数值计算,揭示了非线性粘弹性桩包括混沌运动在内的动力学行为.

    Abstract:

    This paper investigated the chaotic motion for a nonlinear viscoelastic pile subjected to a periodical axial force considering the ground soil motion. The material of the pile was assumed to obey the nonlinear Leaderman viscoelastic relation. The equations for the ground soil motion satisfying the Winkler condition and the equations for the transverse motion of pile were derived as the coupled nonlinear integropartialdifferential equations. The equations were simplified into ordinary differential equations by the Galerkin method. Numerical results indicated that there were lots of dynamical behaviors including chaotic motion in the viscoelastic piles.

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任九生,程昌钧.地基波动影响下非线性粘弹性桩的混沌运动分析[J].动力学与控制学报,2005,3(1):29~33; Ren Jiusheng, Cheng Changjun. Chaotic motion analysis in piles of nonlinear viscoelastic materials considering the motion of ground soil[J]. Journal of Dynamics and Control,2005,3(1):29-33.

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  • 收稿日期:2004-10-29
  • 最后修改日期:2004-12-20
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