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本文提出用加权残值法分析在侧向荷载和扭转荷载作用下的多边形筒体结构的位移和内力。文中采用了等效连续化的数学模式,分析高层建筑筒体(框架筒、筒中筒等)结构的整体特性和每榀抗侧力结构的受力性能。选取满足边界条件的位移试函数,用离散型最小二乘子域配点法求解。 文中给出了数值算例。与模型试验值和其它方法所得结果比较,表明本法具有一定的精度,并有未知量少,工作量省,可在微机或袖珍机上计算等许多半解析教值方法的特点。
In this paper, the weighted residual method is used to analyze the displacement and internal force of the polygonal cylinder structure under lateral loading and torsional loading. In this paper, an equivalent continuous mathematical model is used to analyze the overall characteristics of the high-rise building (frame, barrel, etc.) structure and the mechanical behavior of each lateral force structure. The displacement trial function satisfying the boundary condition is selected and solved by the discrete least squares sub-region collocation method. A numerical example is given in this paper. Comparing with the results obtained by model test values and other methods, this method shows that the method has certain accuracy, and has many features such as less unknown quantity, less workload, and can be calculated on a microcomputer or a pocket machine, and many other semi-analytic teaching methods.