四块组合型双曲抛物面扁扭壳的稳定分析

本文用脉冲函数处理四边简支四块组合型双曲抛物面扁扭壳脊线处的曲率不连续性,根据线性稳定理论导出了与单块四边简支双曲抛物面扁扭壳具有相同形式的临界荷载计算公式,并给出了有关参数的图表。研究表明,这种壳体可能有两种失稳模态,即关于两个对称轴对称或反对称失稳。反对称失稳时,其临界荷载与单壳相同。

Buckling of Composite Hyperbolic Parabloidal Shells

This paper presents the first elastic buckling analysis of a composite hyperbolic parabloidal ( hypar) shell under uniformly distributed load. The composite shell is composed of four hypar panels of rectangular ground plan. A special feature of this analysis is the use of the pulse function to deal with the curvature discontinuities at the ridges. The stability governing equations are derived from the general equations of Reissner for the linear elastic buckling of shallow shells, taking into account the curvature discontinuities at the ridges. These equations are then solved in an appoximate manner by assuming trigonometric variations of the buckling deformations.Numerical results show that the buckling modes of the shell are either symmetrical or antisymmetrical about both axes of symmetry. For antisymmetric buckling, the critical load of the composite shell is the same as that for a single hypar panel.