双曲扭壳屋盖力学性能分析

本文从扁壳的挠度和内力函数混合方程出发,得出了双曲扭壳的双三角级数表示的解析结果,进一步确定了扭率对该扭壳的刚性影响,从而提出关于扭率判别条件的上界和下界,当实际结构的扭率小于判别值的下界时,扭壳可视为矩形平板;当扭率大于判别值的上界时,扭壳可忽略平板效应,视其为无矩状态。对于这两种情况,工程误差不大于百分之一。实际双曲扭壳的屋顶,其扭率在大多数情况下大于判别值的上界。

Mechanical Property Analysis on Combined Hyperbolic Paraboloid Shell Roof

The article studies mixed biharmonic equation constituted from diformation and internal forces, and presents analytical solution for combined hyperbolic paraboloid shell. Furthermore, the shell twit rate effect to its stiffness is defined. Thereupon, the concept with respect to two identifying conditions of twist rate is established. When the actual structural twist rate is less than low identifying value the shell is considered as rectanglar plate; when that value is more than high identifying value, the plate effect of the shell is neglected. The shell is considered as non-moment status. In those two cases, the engineering error is not more than 1%. In most cases, the twist rate value of actual H. P. shell roof is more than the high identifying value.