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角点支承板是当前国内外建筑工业化中,板柱结构体系的主要承重构件,用途比较广泛;如南斯拉夫的IMS体系和我国轻板建筑的板柱体系,均采用预制的角点支承板作楼盖和屋盖。这些板多系四角支承于柱上,也有两角(或一角)支承于柱上,另一边(或两边)支承于剪力墙上;因此板的边界条件比较复杂,计算比较麻烦。早在1979年作者曾在文献(1)中提出过一个广义变分近似解,本文将采用加权残数法进行计算。加权残数法见文献(2),是一种有效的数学方法,应用此法可以直接从微分方程中求得近似值。近年来,随着电子计算技术的发展,加权残法愈来愈引起设计人员的注意,因其电算程序简单,输入及准备工作量非常少,在使用上方便、快捷、准确、高效,通用性又大;
The corner point support plate is the main load-bearing component of the slab-pillar structural system in the current domestic and international construction industrialization, and its use is relatively wide. For example, the IMS system of Yugoslavia and the plate column system of light-weight construction in China all use prefabricated corner point support plates as the building. Covers and roofs. These plates are mostly supported at four corners on the column, and also have two corners (or one corner) supported on the column, and the other side (or both sides) is supported on the shear wall; therefore, the boundary conditions of the plate are relatively complicated and the calculation is troublesome. As early as 1979, the author proposed a generalized variational approximate solution in the literature (1). In this paper, the weighted residual method is used for calculation. For the method of weighted residuals, see (2), which is an effective mathematical method. This method can be used to obtain approximate values directly from differential equations. In recent years, with the development of electronic computing technology, the weighted residual law has drawn more and more attention from designers because its computer program is simple, and the input and preparation work is very small. It is convenient, fast, accurate, and efficient. Big and big