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本文用有限元线法通过最小势能原理建立高层筒体结构考虑二阶效应时的常微分方程体系,并用多功能求解器Maale V求解之.由结线位移建立结构柔度矩阵[δ],并由此求解结构的地震作用以及结构在地震作用下的侧向位移,通过适当的数学模型计算结构的最优抗侧移刚度.作者得出结论:在进行高层建筑(尤其是超高层建筑)的结构优化分析时,二阶效应的影响不容忽视.
In this paper, the finite-element method is used to establish the system of ordinary differential equations considering the second-order effects of the high-rise tube structure by using the principle of minimum potential energy, and it is solved by the multi-function solver Maale V. The structural flexibility matrix[δ] is established by the line displacement and From this, the seismic effect of the structure and the lateral displacement of the structure under earthquakes are calculated, and the optimal anti-sway stiffness of the structure is calculated by an appropriate mathematical model. The authors conclude that: the high-rise buildings (especially the super high-rise buildings) are The effect of the second-order effect cannot be ignored in structural optimization analysis.