柔性圆环壳在子午面内整体弯曲的复变量方程及细环壳的一般解

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Complex Equations of Flexible Circular Ring Shells Overall-Bending in a Meridian Plane and General Solution for the Slender Ring Shells

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China

摘要: 在З.Л.Аксельрад(E.L.Axelrad)非轴对称载荷下柔性旋转壳线性方程的基础上,导出了圆环壳在子午面内整体弯曲的复变量方程和相应的细环壳方程.该方程可与钱伟长给出了一般解的В.В.Новожилов(V.V.Novozhilov)轴对称环壳方程相类比.通过类比,给出了细环壳在子午面内整体弯曲的一般解.所给出的解可以用来计算波纹管整弯曲的应力和端面位移.
- 柔性壳 /
- 旋转壳 /
- 圆环壳 /
- 薄壁弯管 /
- 波纹管
Abstract: Complex equations of circular ring shells and slender ring shells overall-bending in a meridian plane are presented based on E.L.Axelrad's equations of flexible shells of revolution under asymmetrical loading.It turns out that the equations are analogous to Novozhilov's equations of symmetrical ring shells,where general solutions have been given by W.Z.Chien.Therefore,by analogy with Chien's solution,a general solution for equations of the slender ring shells is put forward,which can be used to solve bellows overall-bending problems.
- flexible shells /
- shells of revolution /
- circular ring shells /
- curved-tubes /
- bellows

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