钢筋混凝土框架结构弹塑性数值子结构分析方法
Elastoplastic numerical substructure method of reinforced concrete frame structures
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摘要: 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。Abstract: During the seismic process of earthquakes, larger-scale civil engineering structures might fail due to the serious damage to some key structural members, whereas most structural components might remain elastic and experience small deformation. It is a challenging task to simulate the behavior of such structural systems due to the trade-off between computational efficiency and numerical accuracy. This paper presents an efficient and practical elastoplastic numerical substructure method, in which the whole structural seismic analysis is divided into linear elastic analysis of a master structure and nonlinear analysis of limited numbers of small-scale substructures, to balance the computational efficiency and numerical accuracy. During the linear elastic analysis of the master structure, the formation and LU triangular decomposition need to be done only once as the equivalent stiffness matrix remains constant, resulting in high computational efficiency of the master structure. Rational or refined models can be used in substructure systems to model the local damage mechanism, improving the numerical accuracy of the whole structure. Seismic analysis of a reinforced concrete frame structure is performed to verify the novel numerical substructure method.