简支平顶组合抛物面薄壳屋盖的内力和挠度

THE INTERNAL FORCES AND DEFLECTION OF A SIMPLY SUPPORTED HIP TRUNCATED COMBINED PARABOLICAL CYLINDER ROOF

借助阶跃函数和斜坐标系，建立了平顶组合抛物面薄壳屋盖的壳面方程，然后应用弹性薄壳理论和变分法，导出了四边简支平顶组合抛物面薄壳屋盖的挠度和内力的表达式，最后给出算例。算例表明这种结构比相同尺寸的平顶四坡折板屋盖的内力和挠度小很多，而其刚度较大，因此采用这种结构能节省材料。

The equation of the middle surface of a simply supported hip truncated combined parabolical cylinder roof is established by means of the local inclined coordinate system and step function.Then,the formulas of the internal forces and deflection of the simply supported hip truncated combined parabolical cylinder roof are derived from the theory of shells and variational method.Finally,an illustrative example of this roof is presented.This example indicates that the stress and deflection of this roof are much less than those of the hip truncated four pitch roof of the same dimensions while its rigidity is much larger,so materials will be saved by use of sucha proposed roof.