Symmetry-Breaking Deformation Mode in Radially-Pressurized Complete Spherical Shells
Symmetry-Breaking Deformation Mode in Radially-Pressurized Complete Spherical Shells
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发表时间：
2012
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通讯作者：
Motohiro Sato;Takafumi Sekizawa;Y. Konishi
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作者：
Motohiro Sato;Takafumi Sekizawa;Y. Konishi
研究了充液充压球壳的临界屈曲特性。本文提出了一个基于小挠度薄壳理论的模型，并结合变分原理求解了该模型的方程。轴对称和不可扩展的假设最初没有使用的确切配方和弹性介质被建模为温克勒基础。基于瑞利-里兹方法的简化近似也被引入临界屈曲压力。本文的精确公式可以很容易地推广到更一般的非轴对称屈曲问题，而近似方法可以推广到后屈曲范围。
The critical buckling characteristics of hydrostatically pressurized complete spherical shells filled with an elastic medium are demonstrated. A model based on small deflection thin shell theory, the equations of which are solved in conjunction with variational principles, is presented. Axisymmetric and inextensional assumptions are not used initially in the exact formulation and the elastic medium is modeled as a Winkler foundation. Simplified approximations based on a Rayleigh-Ritz approach are also introduced for the critical buckling pressure. The present exact formulation can be readily extended to apply to more general cases of non-axisymmetric buckling problems and the approximate method can be extended to the post-buckling range.