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首页> 外文会议>SSTA(Shell Structures: Theory and Applications) Conference; 20051012-14; Jurata(PL) >Pure bending of a cylindrical membrane with internal pressure
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Pure bending of a cylindrical membrane with internal pressure

机译：带有内部压力的圆柱形膜的纯弯曲

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摘要

The nonlinear bending by end moments of the closed cylindrical shell prestressed by internal pressure is considered. The shell is made of the incompressible isotropic hyperelastic material. The nonlinear membrane theory of shells is used. The set of basic equations is derived from the variational principle of stationary potential energy. With the help of special substitution the bending problem is reduced to the system of nonlinear ordinary differential equations, which are analysed by a numerical method. The numerical results are obtained for the circular cylindrical shell made of the neo-Hookean material. The influence of the internal pressure on the curvature of the cylinder axis deformed by the bending moment is studied.
机译：考虑了由内压预应力的封闭圆柱壳端部力矩的非线性弯曲。壳体由不可压缩的各向同性超弹性材料制成。使用了壳的非线性膜理论。基本方程组是从平稳势能的变分原理导出的。在特殊替换的帮助下，弯曲问题被简化为非线性常微分方程组，并通过数值方法对其进行了分析。由新霍克材料制成的圆柱壳得到了数值结果。研究了内部压力对由于弯矩而变形的圆柱轴曲率的影响。

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