周边简支组合折板屋盖的自由振动和受迫振动的级数解

本文首先借助两套局部斜坐标系和广义函数－－符号函数和阶跃函数，建立了组合折板屋盖的曲面方程，然后应用弹性薄壳振动理论和变分法求得了四边简支组合折板屋盖受迫振动响应的挠度和内力表达式。本文还可解决组合折板的自由振动和静力问题，以及Ｖ型折板和长方形双向折板的静力、自由振动和受近振动等问题。故本文实际上包含了九个问题的解。

THE SERIES SOLUTION OF FREE VIBRATION AND FORCED VIBRATION OF COMPOSITE FOLDED PLATE ROOF WITH SIMPLY SUPPORTED EDGES

In this paper,the surface equation of the roof consisted of folded plates is established by means of local inclined coordinates and generalized functions-the sign function and the step function. The dynamic responses of deflection and internal forces,of the composite folded plate roof, is derived as a thin shell structure by variational method.The method offered can solve the problems of both statics and dynamics of the composite folded plate roof.The folded plate of V type and four pitch rectangular roof can also be freated. UP to nine aspects of problems can be dealt with using the method presented in the paper.