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水平荷载作用下,大板建筑内力分析方法,主要有壁式框架法、有限元法、等效连续栅片法,直接引入及折算刚度法。本文由一般物理概念出发,通过对变位分析,发现除相邻下层过梁本身剪切及变曲变位外,所有下层外荷及过梁剪力对上层过梁反弯点的竖向相对变位差(包括由于墙肢弯曲、剪切、拉压所引起的变位差及相邻下层外其他下层过梁本身的弯剪变位差)无影响。故可直接建立过梁反弯点竖向变位差协调方程,稍作转化即得三项方程组,并由紧凑消元法给出过梁未知剪力的解。本文所提方法考虑了墙肢剪切变形影响,不将过梁化为等效连续栅片,未引入墙肢挠曲线完全重合假定,故亦适用于不等肢墙。同时,不需解微分方程,只需进行简单的系数运算即可。文末列出五则算例结果,分别与壁式框架、有限元、罗斯曼、折算刚度及直接引入等法作了比较。
Under the action of horizontal loads, the analysis methods of large-scale building internal forces mainly include wall frame method, finite element method, equivalent continuous grid method, direct introduction and conversion stiffness method. In this paper, starting from the general physical concept, through the analysis of the displacement, it is found that in addition to the adjacent lower lintel itself shearing and bending deflection, all the lower load and lintel shear force on the vertical deflection of the upper beam deflection point Variations (including deflections due to bending, shearing, and tension of the piers, and bending and shearing differences of other lower lintels adjacent to the lower layer) have no effect. Therefore, it is possible to directly establish the coordination equation of the vertical deflection difference of symphonic bending points, and obtain a trinomial equation group by a short conversion. The solution of the unknown shear force of truss beam is given by the compact elimination method. The method proposed in this paper takes into account the influence of the shear deformation of the piers. It does not convert the truss into an equivalent continuous grid. It does not incorporate the assumption that the deflection curves of the limbs are completely coincident. It is therefore also applicable to the unequal wall. At the same time, there is no need to solve the differential equations, and only simple coefficient calculations can be performed. At the end of the paper, the results of five examples are listed and compared with the methods of wall frame, finite element, Rothmann, reduction stiffness and direct introduction.