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对经典的单轴Bouc-Wen模型进行改进,研究建立了可以综合考虑P-效应、捏拢效应、强度退化、刚度退化、应变硬化等典型滞回特性的新型单轴Bouc-Wen模型。根据非弹性单自由度体系在69条强震记录作用下的动力响应,定量地分析了P-效应对地震延性需求的均值和变异系数的影响,进而建立了地震延性需求的经验概率分布模型和预测方程。计算结果显示:由重力引起的P-效应对地震延性需求的影响较大,而由竖向地震激励引起的P-效应的影响很小;地震延性需求与震级、震中矩、剪切波速等参数之间的线性相关性较小;对于短周期体系,可以采用Lognormal或Frechet分布来描述地震延性需求的概率分布,而对于长周期体系,采用Frechet分布则更为合理。
The classical uniaxial Bouc-Wen model is improved, and a new uniaxial Bouc-Wen model that can consider typical hysteretic characteristics such as P-effect, pinch-in effect, strength degradation, stiffness degradation and strain hardening is established. According to the dynamic response of the inelastic single-degree-of-freedom system under the action of 69 strong earthquakes records, the influence of P-effect on the mean and coefficient of variation of the seismic ductility demand is quantitatively analyzed, and then the empirical probability distribution model and Prediction equation. The calculated results show that the P-effect caused by gravity has a great influence on the seismic ductility demand, while the P-effect caused by the vertical seismic excitation has a small effect. The seismic ductility requirements and the parameters such as magnitude, seismic moment and shear wave velocity For short-period systems, the distribution of seismic ductility can be described by Lognormal or Frechet distributions, while the Frechet distribution is more reasonable for long-period systems.