摘要
利用应力应变关系和变形协调方程,建立了圆薄膜沿周边径向均匀张拉一定位移后的基本方程.通过引入无量纲参数进行化简并得到了其解析解,进而得出了圆薄膜内的应力分布公式,并利用有限元模型验证了其正确性.结果表明:沿圆薄膜外边界均匀张拉一定位移后,膜内径向应力与环向应力相等,应力分布均匀且与张拉位移量成正比.
Based on the stress - strain relationship and the deformation compatibility conditions, the basic equation of the circular membranes stretched the outer edge radially is established. The analytic solution is given through in- troducing the non - dimensional parameters to simplify the basic equations. The formulae of the stress distribution are obtained by theoretical derivation, and the conclusion shows that the radial stress and the circumferential stress is equal, and the stress values are the same at different locations, and the stress values are proportioned to the val- ue of the radial displacement. The correctness of the analytic solution is certificated by the way of finite element simulation.
出处
《重庆工商大学学报（自然科学版）》
2009年第2期174-177,共4页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
圆薄膜
预张力
径向张拉
解析解
circular membranes
pre - stretched stress
radial stretch
analytic solution
