基于Bouc-Wen-Baber-Noori模型的非弹性反应谱研究  

Research on inelastic response spectra based on Bouc-Wen-Baber-Noori model

作　　者：宁超列[1] 

机构地区：[1]同济大学建筑工程系,上海200092

出　　处：《地震工程与工程振动》2015年第3期191-198,共8页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金委创新研究群体科学基金(50621062)

摘　　要：建立一个能够合理有效地反映结构刚度退化、强度退化以及捏拢效应的滞回模型有助于澄清强度退化、刚度退化和捏拢效应对非弹性反应谱的影响。因此,本文将能够表征不同滞回特性的Bouc-Wen-Baber-Noori模型引入到单自由度体系非弹性反应谱的研究中,通过将运动方程转化为一阶偏微分方程组,然后采用Gear法求解,分别研究了强度退化、刚度退化和捏拢效应对相对位移反应谱和绝对加速度反应谱的影响。在此基础上通过引入增量动力分析理论,研究了非弹性反应谱与地震动加速度峰值之间的关系。鉴于Bouc-Wen-Baber-Noori模型参数众多,本文对基于Bouc-WenBaber-Noori模型的非弹性反应谱进行了参数敏感性分析,获得了各参数对单自由度体系非弹性反应谱的影响阶数。研究结果表明:强度退化对非弹性反应谱的影响较小;刚度退化对非弹性反应谱具有一定的影响;捏拢效应在非弹性反应谱的研究中不可忽略。这一结论,可望澄清不同研究者关于滞回特性对非弹性反应谱的影响所存在的认识分歧。The introduction to hysteretic model with the ability to effectively and reasonably represent the strength degradation, stiffness deterioration and pinching effect is beneficial to classify the influecene of these hysteresis characteristics on the inelastic response spectra. Therefore, the Bouc-Wen-Baber-Noori model is introduced in this paper to study the inelastic response spectra of single-degree-of-freedom system as the restoring force. By transforming the equation of motion to the first order partial differential equations and using the GEAR method to solve these equations, the influence of strength degradation, stiffness deterioration and pinching effect on the relative displacement spectra and absolute acceleration spectra is respectively studied. Furthermore, the increment dynamic a- nalysis method is adopted to study the relationship between the inelastic response spectra and the peak ground acceleration. As there are numerous parameters in the Bouc-Wen-Baber-Noori model, the parameter sensitivity analysis is then carried out to get the sensitivity ranking of each parameter. The research results reveal that the strength degradation has little effect and the stiffness deterioration has considerable influence on the inelastic response spec- tra, but the pinching effect is much more sensitive so that the investigation of inelastic response spectra can not ignore this kind of hysteresis characteristic. Thereby, these conclusions may contribute to clarify the controversy about the influence of hysteretic model to the inelastic response spectral among researchers.

关 键 词：Bouc-Wen-Baber-Noori模型 非弹性反应谱 刚度退化 强度退化 捏拢效应 增量动力分析 参数敏感性分析 

分 类 号：P315.8[天文地球—地震学] TU313[天文地球—固体地球物理学]