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基础-结构耦合系统受地震作用的非线性振动
引用本文:杨志安,常文洁,李高峰.基础-结构耦合系统受地震作用的非线性振动[J].唐山学院学报,2013,26(3):1-4.
作者姓名:杨志安  常文洁  李高峰
作者单位:唐山学院唐山市结构与振动工程重点实验室,河北唐山,063000
基金项目:国家自然科学基金资助项目
摘    要:以基础-结构耦合系统受地震作用的动力学方程为基础,考虑系统的固有特性和地震激励特征,研究基础-结构耦合系统受地震作用的组合共振问题。利用非线性振动的多尺度法,求得系统三频率组合共振的响应曲线,并分别进行数值计算。分析阻尼系数、地基参数、非线性因子和小参数等对共振的影响。计算结果可用于基础一结构耦合系统的动力设计。

关 键 词:基础-结构耦合系统  拉格朗日运动方程  多尺度法  非线性振动  地震

Nonlinear Vibration of Foundation Structure Coupled System Subjected to Seismic Excitation
YANG Zhi-an , CHANG Wen-jie , LI GAO-feng.Nonlinear Vibration of Foundation Structure Coupled System Subjected to Seismic Excitation[J].Journal of Tangshan College,2013,26(3):1-4.
Authors:YANG Zhi-an  CHANG Wen-jie  LI GAO-feng
Affiliation:(Key Laboratory of Structure and Vibration Engineering of Tangshan, Tangshan College, Tangshan 063000, China)
Abstract:Based on dynamic equations of foundation structure coupled system to deal with com- bine resonance of foundation structure coupled system subjected to seismic excitation. Consider- ing the nature characteristics and the seismic excitation of the system, by means of the method of multiple scales for nonlinear vibrations, the amplitude frequency response curve of combine reso- nance consists of three frequencies is obtained and numerical analysis is carried out. The influ- ences of damping, foundation parameters, nonlinear factor, and small parameter on the system are analyzed. The results can be used for dynamical design of foundation structure coupled system.
Keywords:foundation structure coupled system  Lagrange equation  the method of multiplescales~ nonlinear vibration  seismic
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