论文标题
壳的封闭形式的圣人解决方案
Closed-form Saint-Venant solutions in the Koiter theory of shells
论文作者
论文摘要
在本文中，我们使用Koiter模型研究了圆柱线性弹性壳的变形。我们制定并解决了由各向同性和均质弹性材料制成的薄圆柱管的稀薄圆柱管的宽松的问题。为此，我们适应了以前在三维弹性理论中建立的方法。我们提出了一个通用解决方案程序，以确定扩展，弯曲，扭转和弯曲问题的封闭式解决方案。我们指出了这些解决方案与经典圣景解决固体圆柱体的解决方案的类比和形式相似之处。还讨论了圆柱形壳的特殊情况。
In this paper we investigate the deformation of cylindrical linearly elastic shells using the Koiter model. We formulate and solve the relaxed Saint-Venant's problem for thin cylindrical tubes made of isotropic and homogeneous elastic materials. To this aim, we adapt a method established previously in the three-dimensional theory of elasticity. We present a general solution procedure to determine closed-form solutions for the extension, bending, torsion and flexure problems. We remark the analogy and formal resemblance of these solutions to the classical Saint-Venant's solutions for solid cylinders. The special case of circular cylindrical shells is also discussed.
