简支交叉 V 形折板屋盖受迫振动的级数解  

SERIES SOLUTION OF FORCED VIBRATION OF A SIMPLY SUPPORTED CROSS V SHAPED FOLDED PLATE ROOF

作　　者：杨子江[1] 赖远明[1] 

机构地区：[1]兰州铁道学院

出　　处：《空间结构》1997年第3期41-45,共5页Spatial Structures

摘　　要：本文首先借助局部斜坐标系和广义函数——符号函数和阶跃函数，建立了交叉Ｖ形折板屋盖的曲面方程，然后应用薄壳振动理论和变分法求得了简支交叉Ｖ形折板屋盖受迫振动响应的挠度和内力表达式。In this paper, the equation of the middle surface of a simply supported cross V shaped folded plate roof is established by means of the local inclined coordinate system and generalized function——sign function and step function. Then, the deflectional and internal force formulae of forced vibration of cross V shaped folded plate roof are derived from theory of shallow shell vibration and variational method. Finally, an illustrative example of this roof is calculated.

关 键 词：屋盖 V形折板 内力 薄壳 阶跃函数 级数解 挠度 坐标系 

分 类 号：TU757.4[建筑科学—建筑技术科学] TU113.8