非线性粘弹性桩耦合运动中的混沌分析  

CHAOTIC MOTION ANALYSIS FOR COUPLED LONGITUDINAL AND TRANSVERSE MOTIONS OF PILES OF NONLINEAR VISCOELASTIC MATERIALS

作　　者：任九生[1] 程昌钧[1] 

机构地区：[1]上海大学力学系,上海200444

出　　处：《振动与冲击》2006年第5期21-23,共3页Journal of Vibration and Shock

基　　金：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

摘　　要：研究轴向周期载荷作用下非线性粘弹性桩纵横向耦合运动中的混沌运动。桩体材料满足Leaderman非线性粘弹性本构关系和近似的非线性几何关系,考虑桩体发生纵横向运动的耦合,得到的方程为耦合的非线性偏微分-积分方程;利用Galerkin方法将方程简化并进行数值计算,揭示非线性粘弹性桩的混沌运动和分岔等动力学行为。The chaotic motion problem for the coupled longitudinal and transverse motions of a nonlinear viscoelastic pile subjected to a periodic axial force is investigated. The material of the pile is assumed to obey the nonlinear Leaderman viscoelatic relation and the approximative nonlinear geometric relation. The coupling of longitudinal motion and transverse motion of the pile is considered and the equation of motion is derived as the coupled nonlinear integro-partial-differential equation. The equation is simplified into ordinary differential equation by Galerkin method. Numerical results are presented and indicate that there are lots of dynamical behaviors including chaotic motion and bifurcations appearing in the viscoelastic piles.

关 键 词：非线性粘弹性桩 耦合运动 GALERKIN方法 混沌运动 

分 类 号：O322[理学—一般力学与力学基础]