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结合概率密度演化理论与基于混凝土损伤本构关系的结构非线性分析方法,将结构随机反应分析从基于传统的从构件到结构的两层次简化模型,提升到从材料随机本构模型到结构的耦合精细化分析水平,实现了考虑结构参数随机性的多层混凝土框架结构非线性随机地震反应概率密度演化分析。进而,考虑混凝土与钢筋材料参数和结构阻尼参数的随机性,考察了结构主要反应量的随机演化特征。结果表明:与线性结构随机反应相比,由于混凝土随机损伤的影响,柱轴力与层间剪力的变异性差异显著,且层间剪力和层间位移的概率密度演化曲面不规则程度明显增加。
Based on the theory of probability density evolution and structural nonlinear analysis based on the damage damage constitutive relation, the stochastic reaction analysis of structure is improved from the traditional two-level simplified model from component to structure to the coupling from stochastic constitutive model The level of refinement analysis is refined to realize the nonlinear random seismic response probability density evolution analysis of multi-story concrete frame structure considering the randomness of structural parameters. Furthermore, considering the randomness of material parameters and structural damping parameters of concrete and steel, the stochastic evolution of the main reaction volume of the structure is investigated. The results show that there is significant difference in the variability of column axial force and interlaminar shear force due to the random damage of concrete compared with the random response of linear structure, and the irregularity of probability density evolution surface between interlaminar shear force and interlaminar displacement is obvious increase.