【摘要】 折板结构是由多块条形平板组合而成的空间结构,是一种既能承重,又可围护,用料较省,刚度较大的薄壁结构,可用作车间、仓库、车站、商店、学校、住宅、亭廊、体育场看台等工业与民用建筑的屋盖.目前折板结构建筑中绝大部分采用折叠式V形折板屋盖,比较单一,影响了推广应用范围.本文提出一种力学性能好,外观优美的平顶组合抛物面薄壳屋盖结构.借助斜坐标系和阶跃函数,建立了平顶组合抛物面薄壳屋盖的曲面方程,然后应用薄壳振动理论和变分法求得了简支平顶组合抛物面薄壳屋盖受迫振动响应的挠度和内力表达式.本文还可以解决组合抛物面薄壳屋盖的静力、自由振动和受迫振动等问题,故本文实际上包含了两种组合薄壳屋盖六个问题的解.更多还原

【Abstract】 The folded plate structure is a kind of spatial structure,composed of a plurality of strip platesbs.It is not only a bearing,but also supporting,material-saving,thin-walled structure with larger stiffness,and can be used as a workshop,warehouse,station,shops,schools,residential,pavilion,stadium and other industrial and civil building roof.The present buildings in the majority of folded plate structures adopt folding V shaped folded plate roofs,which are unitaroy and affects application scope.This paper presents a hip-truncated combined parabolic cylinder roof structure with a good mechanical performance and beautiful appearance.The surface equation of a simply-supported hip-truncated combined parabolic cylinder roof is established by means of inclined coordinates and the step function.The deflection and internal force formulas of forced vibration of a simply-supported hip-truncated combined parabolic cylinder roof are derived from vibration theory of shallow shell and variational method.The combined parabolic cylinder roof can also be solved and up to six aspects of problems can be dealt using the method presented in the paper.更多还原