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基于连续介质力学对物质运动的描述方法 ,采用增量 L agrangian公式推导空间梁单元切线刚度矩阵 ,包括节点大位移、大转角产生的几何非线性 ,材料本构关系的物理非线性。运用非线性时程分析法研究结构在水平输入、竖向输入及多维输入地震波时结构的动力稳定性。输入地震波加速度峰值是体现地震输入能量的重要指标 ,提出结构可以抵御的最大地震作用加速度峰值的估算方法。分析初始静荷载和初始几何缺陷对结构在地震作用下动力稳定性的影响 ,模拟结构在强烈地震作用下失稳破坏全过程
Based on the description of material motion by continuum mechanics, the incremental L agrangian formula is used to derive the tangent stiffness matrix of space beam elements, including the large displacements of nodes, the geometrical nonlinearities caused by large angles of rotation, and the physical nonlinearities of material constitutive relations. Nonlinear time history analysis is used to study the dynamic stability of structures with horizontal input, vertical input and multi-dimensional input seismic wave. Entering the peak value of seismic wave acceleration is an important index to reflect the input energy of the earthquake. The estimation method of the acceleration peak value of the maximum seismic action that the structure can withstand is proposed. The influence of initial static load and initial geometric imperfection on the dynamic stability of the structure under earthquake action is analyzed. The whole process of failure of the simulated structure under strong earthquake action is analyzed