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大型复杂土木工程结构在地震作用下失效破坏可能由部分关键构件严重损伤破坏导致,而大部分构件仍处于弹性或小变形状态。该类结构的地震损伤和破坏全过程分析涉及超大规模系统强非线性动力分析,目前尚缺乏能很好兼顾效率和精度的计算理论,基于此,该文提出一种新型高效且实用的弹塑性数值子结构理论和计算方法,将大型复杂结构系统的大规模非线性计算问题转化为整体结构适度规模的线弹性分析和数量与规模均较小的局部隔离子结构非线性分析,其中,线弹性整体结构刚度矩阵的集成及LU三角分解仅需进行一次,大大提高计算效率;少数屈服构件的子结构非线性分析采用精细化有限元模型或不同类型单元模型,精确模拟构件局部损伤破坏机理,有效提高结构整体的计算精度。最后通过对一榀平面钢筋混凝土框架结构进行地震动力弹塑性数值子结构方法分析,验证其高效性与精确性。
Failure of large-scale complex civil engineering structures under earthquake can lead to serious damage to some of the key components, while most of the components are still in elastic or small deformation. The whole process of earthquake damage and damage analysis of such structures involves strong nonlinear dynamic analysis of very large-scale systems. At present, there is still no computational theory that can balance both efficiency and accuracy. Based on this, a new type of highly efficient and practical elasto-plastic Numerical substructure theory and computational method, the large-scale nonlinear computational problems of large and complex structural systems are transformed into the linear elastic analysis of the moderate scale of the whole structure and the nonlinear analysis of the local segregation substructures with small quantity and size. Among them, the linear elasticity The integration of the whole structural stiffness matrix and the LU-triangle decomposition only need to be done once, greatly improving the computational efficiency. The nonlinear analysis of the substructure of a few yield members adopts the refined finite element model or the different types of unit models to accurately simulate the damage mechanism of the local damage to the member, Improve the overall structure of the calculation accuracy. Finally, by analyzing the seismic elasto-plastic numerical substructure of a 榀-plane reinforced concrete frame structure, its efficiency and accuracy are verified.