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本文解决了受地震干扰的多层滞后剪切型结构基于层延性首次超越破坏机制动力可靠性的计算方法。文中,在建立了剪切型结构的“滑移——滞后”模型的前提下,求得了地震作用下滞后结构的等价线性体系。并从等价线性体系出发,以振型分解法为基础,建立了结构相对层位移和相对层速度的联合概率密度函数。据此,本文应用随机点集理论和级数解法得到了地震作用下结构动力可靠性的计算公式。为了验证公式的精度,文中对一个二层剪切型框架进行了计算与模拟结果的比较。
This paper solves the multi-delayed shear-type structure subjected to seismic disturbances and calculates the dynamic reliability based on the first-order surpassing failure mechanism of layered ductility. In this paper, under the premise of establishing the “slip-lag” model of the shear-type structure, an equivalent linear system with hysteresis structure under earthquake is obtained. Starting from the equivalent linear system and based on the vibration mode decomposition method, the joint probability density function of the relative layer displacement and the relative layer velocity of the structure is established. Based on this, this paper applies the random point set theory and series solution method to obtain the calculation formula of structural dynamic reliability under earthquake. In order to verify the accuracy of the formula, a two-layer shear frame was compared with the results of the simulation and simulation.