非线性桩基的动力学分析

上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (5): 475-482.

非线性桩基的动力学分析

1.上海大学理学院,上海200444;2.上海师范大学计算机科学与技术系,上海 200234

收稿日期:2008-07-10 出版日期:2009-10-30 发布日期:2009-10-30
通讯作者: 程昌钧(1937~)，女，教授,研究方向为非线性固体力学的理论、计算方法及应用. E-mail:chjcheng@mail.shu.edu.cn
基金资助:
上海市浦江人才计划资助项目(07pj14073)

Dynamic Analysis of Nonlinear Piles

1. College of Sciences, Shanghai University, Shanghai 200444, China;
2. Department of Computer Science and Technology, Shanghai Normal University, Shanghai 200234, China

Received:2008-07-10 Online:2009-10-30 Published:2009-10-30

摘要/Abstract

摘要：

基于计及横向剪切效应的梁的修正理论,建立材料服从一种3次非线性本构关系的桩基力学行为分析的广义Hamilton变分原理,并给出相应的数学模型,其中包括3个位移和2个转动.作为数学模型的应用,研究了非线性桩基的平面耦合运动的动力学问题,利用Galerkin方法和非线性动力学的方法研究了非线性桩基的长时间动力学行为,考察了边界条件对桩基动力学行为的影响.最后,用数值方法比较了1-阶和2-阶Galerkin截断系统动力学行为的定性性质.

关键词: 3次非线性弹性材料;Hamilton变分原理;平面耦合运动;非线性动力学

Abstract:

Following the modified theory of beams with the effect of shear deformation, a generalized Hamilton variational principle with three displacements and two rotational angles is established in which the material of pile obeys one of the thrice nonlinear constitutive relations. A mathematical model of dynamic behavior analysis of nonlinear elastic piles is also presented. As an application of the model, the plane coupling movement of nonlinear elastic piles is analyzed in detail. The Galerkin method and methods in nonlinear dynamic dynamics are used to study the dynamic behavior of nonlinear piles with long time. To consider the effect of the boundary condition, the dynamic behavior of plies with three different boundary conditions is considered. Also, the qualitative properties of the Galerkin systems with 1-order and 2-order truncation are calculated and compared numerically.

Key words: thrice nonlinear elastic material; Hamilton variational principle; plan coupling movement; nonlinear dynamics

中图分类号:

O 343.5

花羽超朱媛媛程昌钧. 非线性桩基的动力学分析[J]. 上海大学学报(自然科学版), 2009, 15(5): 475-482.

HUA Yu-Chao, ZHU Yuan-Yuan, CHENG Chang-Jun. Dynamic Analysis of Nonlinear Piles[J]. Journal of Shanghai University（Natural Science Edition）, 2009, 15(5): 475-482.