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将网架简化为考虑剪切变形的交叉梁系,用有限元法分析其竖向抗震性能.在动力分析中,忽略转动惯量的影响,对总刚矩阵进行刚度集聚,建立网架竖向振动方程,然后通过子空间迭代计算其自振频率和振型,再利用振型分解反应谱法求各振型下竖向地震作用效应并进行组合.文章同时给出了梁元法与空间桁架位移法精确解的误差比较,其精度满足工程要求,并且计算速度快、所占存贮空间少.
The grid is simplified as a cross-beam system considering shear deformation, and its vertical seismic performance is analyzed by the finite element method. In the dynamic analysis, neglecting the influence of the moment of inertia, the stiffness of the total stiffness matrix is accumulated, and the vertical vibration equation of the mesh frame is established. Then the natural vibration frequency and mode shape are calculated through iterative subspace, and then the vibration mode decomposition response spectrum method is used. The effects of vertical earthquake effects under vibration modes are combined. At the same time, the error comparison between the exact solutions of Liang Yuan method and space truss displacement method is given. The accuracy of the method meets the engineering requirements, and the calculation speed is fast and the storage space is small.