地基-非线性结构相互作用体系的超谐和亚谐振动  

Research on superharmonic resonance and subharmonic resonance of soil-nonlinear structure interaction system

作　　者：谷岩[1] 姜忻良[1] 

机构地区：[1]天津大学建筑工程学院,天津300072

出　　处：《地震工程与工程振动》2001年第1期56-60,共5页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金!(59778041)

摘　　要：本文对上部结构的双线型恢复力进行最小二乘法拟合，得到类似于Ｄｕｆｆｉｎｇ振子的恢复力曲线模型，地基上简化为集中参数模型，运用多尺度法研究地基－结构相互作用体系在强激励下当频率接近结构的三分之一固有频率（超谐共振）、三倍固有频率（亚谐共振）时的非线性动力行为，并通过算例得到了异频振动时一些有益的结论．In this paper, Duffing oscillator's model is taken as a restoring force of the superstructure, and a lumped parameter model is used to simulate the viscoelastic halfspace. The perturbation analysis is used to study the conditions which give rise to the superharmonic resonance and subharmonic resonance. Then the nonlinear dynamical behavior is analyzed when the superharmonic resonance or the subharmonic resonance occurs. Some conclusions are drawn through the analysis of numerical examples.

关 键 词：非线性 超谐共振 亚谐共振 相互作用体系 地基 强震作用 力学模型 

分 类 号：TU435[建筑科学—岩土工程] P315.9[建筑科学—土工工程]