薄壳屋顶力学性能分析

Analysis for the mechanical property of thin shell roof

从研究浅壳的挠度和内力的混合函数的双调微分方程出发,利用力的变分原理得到了均布载荷作用下常见型面薄壳屋顶挠度和内力的双级数形式解答.分析了结构初始弯曲曲率和扭曲曲率对其刚度影响,并进一步建立了这两个曲率的判别条件:当结构的弯曲曲率小于判别值的下界时,结构可视为双曲扭壳;当结构的扭率大于其判别值的上界时,则可忽略弯曲效应,视结构为无矩状态.

This paper introduces the relation between the deflection and internal force of common thin shell roof under even distribution load,and discusses the influence of initial bending and twist curvature on structural stiffness.It also establishes the distingush conditions of bending and twist curvature.