基础-结构耦合系统受地震作用的非线性振动

Nonlinear Vibration of Foundation Structure Coupled System Subjected to Seismic Excitation

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-结构耦合系统的动力设计。

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.