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本文采用刚性楼面假定,把Rayleigh-Ritz法和有限单元法相结合,以多项式作为位移函数,通过二维高次完备多项式拟合楼面位移,变位移方程为广义坐标方程,建立了高层建筑结构三维分析的广义坐标方法,使未知量数目得到有效的缩聚,并与建筑物的层数无关;同时,计算精度可以通过选择位移函数的项数来调整。文中引用一个20层L形空间刚架和一个8层的空间刚架作为算例,所得结果在实用上是有足够精度的。
In this paper, rigid floor assumptions are used, Rayleigh-Ritz method and finite element method are combined, polynomial is used as the displacement function, and 2D high-order complete polynomials are used to fit the floor displacement. Variable displacement equations are generalized coordinate equations and high-rise building structures are established. The generalized coordinate method of three-dimensional analysis enables the number of unknowns to be efficiently condensed and independent of the number of floors of the building. At the same time, the calculation accuracy can be adjusted by selecting the number of items of the displacement function. A 20-story L-shaped space rigid frame and an 8-layer space rigid frame are cited as examples and the results obtained are practically accurate enough.