非线性桩基的动力响应分析  

DYNAMIC RESPONSE ANALYSIS OF NONLINEAR PILES

作　　者：花羽超[1] 朱媛媛[2] 程昌钧[1] 

机构地区：[1]上海大学力学系上海市应用数学和力学研究所,上海200072 [2]上海师范大学计算机科学与技术系,上海200234

出　　处：《动力学与控制学报》2007年第3期238-243,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金(50278051);上海高校选拔培养优秀青年教师科研专项基金;上海师范大学科研启动基金~~

摘　　要：假定桩基材料服从一种3次非线性本构关系,同时桩被置于弹性基础上,基于Timoshenko梁的修正理论和广义Hamilton变分原理,建立了非线性弹性桩基动力学行为分析的数学模型,该模型包括了3个位移和2个转动.作为该数学模型的应用,在空间上采用中心差分格式,在时间上采用向后差分格式,计算和分析了非线性弹性桩基受轴力作用时的轴向运动和非线性桩基的平面耦合运动,得到了数值解,考察了非线性弹性性质对结构动力学响应的影响.The material of piles was assumed as one of the nonlinear elastic materials, which obeys a thrice nonlinear constitutive relation, and the pile was located on an elastic foundation. Following Timoshenko theory of beams and the Hamilton variational principle, a mathematical model of dynamic behavior analysis of nonlinear elastic piles was established, in which three displacements and two angles were contained. As application of the model, the axial movement and the plane coupling movement of nonlinear elastic piles were computed by using the finite difference method and Newton - Raphson iteration method. The corresponding numerical solutions were presented. The effects of the nonlinear elastic properties on the structural dynamic response were considered.

关 键 词：非线性弹性材料 Hamilton变分原理  非线性桩基耦合运动  动力学响应  非线性弹性参数的影响 

分 类 号：TU473.1[建筑科学—结构工程]