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| 嵌岩桩非线性动力学特性 | |
| 引用本文： | 胡春林,程昌钧,胡胜刚.嵌岩桩非线性动力学特性[J].上海大学学报(英文版),2007,11(3):213-217. |
| 作者姓名： | 胡春林 程昌钧 胡胜刚 |
| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics Shanghai University，Shanghai 200072，P. R. China Department of Mechanics，College of Sciences，Shanghai University，Shanghai 200444，P. R. China School of Civil Engineering and Architecture，Wuhan University of Technology，Wuhan 430070，P. R. China，Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，P. R. China Department of Mechanics，College of Sciences，Shanghai University，Shanghai 200444，P. R. China，School of Civil Engineering and Architecture，Wuhan University of Technology，Wuhan 430070，P. R. China |
| 摘 要： | The nonlinear dynamic characteristics of a pile embedded in a rock were investigated. Suppose that both the materials of the pile and the soil around the pile obey nonlinear elastic and linear viscoelastic constitutive relations. The nonlinear partial differential equation governing the dynamic characteristics of the pile was first derived. The Galerkin method was used to simplify the equation and to obtain a nonlinear ordinary differential equation. The methods in nonlinear dynamics were employed to solve the simplified dynamical system, and the time-path curves, phase-trajectory diagrams, power spectrum, Poincare sections and bifurcation and chaos diagrams of the motion of the pile were obtained. The effects of parameters on the dynamic characteristics of the system were also considered in detail. |
| 关 键 词： | 非线性动力学 横向运动 高层建筑 线性黏弹性材料 分歧 混沌 |
| 文章编号： | 10.1007/s11741-007-0304-1 |
| 收稿时间： | 25 October 2005 |
| 修稿时间： | 2005-10-252006-03-06 |
Nonlinear dynamic characteristics of piles embedded in rock |
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| HU Chun-lin,CHENG Chang-jun,HU Sheng-gang.Nonlinear dynamic characteristics of piles embedded in rock[J].Journal of Shanghai University(English Edition),2007,11(3):213-217. | |
| Authors: | HU Chun-lin CHENG Chang-jun HU Sheng-gang |
| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China;Department of Mechanics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China;School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,P.R.China 2. Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China;Department of Mechanics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China 3. School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,P.R.China |
| Abstract: | The nonlinear dynamic characteristics of a pile embedded in a rock were investigated. Suppose that both the materials of the pile and the soil around the pile obey nonlinear elastic and linear viscoelastic constitutive relations. The nonlinear partial differential equation governing the dynamic characteristics of the pile was first derived. The Galerkin method was used to simplify the equation and to obtain a nonlinear ordinary differential equation. The methods in nonlinear dynamics were employed to solve the simplified dynamical system, and the time-path curves, phase-trajectory diagrams, power spectrum, Poincare sections and bifurcation and chaos diagrams of the motion of the pile were obtained. The effects of parameters on the dynamic characteristics of the system were also considered in detail. |
| Keywords: | lateral motion of the pile nonlinear elastic material linear viscoelastic material bifurcation and chaos |
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