【摘要】 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.更多还原

【Abstract】 Ordinary Differential Equations (ODEs) of high-rise tubular structure, in which second-order effect is considered, are established in this paper by means of the Finite Element Method of Lines (FEMOL) and the Principle of Minimum Potential Energy. The ODEs are then resolved by the multi-functional ODEsolver--Maple V. The structural flexibility matrix is integrated from the nodaldisplacements. Hence the seismic effect on the structure as well as the subsequent lateral displacements are solved. The optimum structural stiffness against lateral displacement is calculated through an appropriate mathematic model. A conclusion is obtaind finally that when dealing with the optimal analysis of high-rise structure, especially extra high-rise structures,the second-order effect should not be neglected.更多还原