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首页> 外文期刊>Journal of aerospace engineering >Stability of Anisotropic Laminated Rings and Long Cylinders Subjected to External Hydrostatic Pressure
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Stability of Anisotropic Laminated Rings and Long Cylinders Subjected to External Hydrostatic Pressure

机译：外部静水压力作用下各向异性叠层环和长圆柱体的稳定性

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The problem of buckling of rings under external pressure has attracted interest since the late 1950s; however, the formulations developed, to date, to obtain the critical pressure are limited to special cases of orthotropic laminated construction. In this work, analytical and numerical treatments are carried out to provide results on the buckling of thin and moderately thick anisotropic rings and long cylinders. A generalized closed-form analytical formula for the buckling of thin anisotropic laminated rings is developed. Standard energy-based formulation and classical lamination theory are used to obtain the equilibrium equations assuming an intermediate class of deformation. The constitutive equations are statically condensed, in terms of the ring's boundary conditions, to produce the effective axial, coupling, and flexural rigidities. In addition, a three-dimensional (3D) tube finite-element model is developed for nonlinear analysis of anisotropic laminated composite rings or long cylinders. The element accounts for prebuckling ring twist and first-order shear deformations. Fourier series expansions are used to express the in-plane and out-of-plane components of deformation and geometry at the three nodes of the cylindrical element. Isoparametric quadratic shape functions are used to interpolate the displacement field in between. Comparisons of the analytical and numerical results show excellent agreement for thin rings. Parametric studies are also conducted to address the effects of lamination, shell thickness, and initial out-of-roundness imperfection on the external buckling pressure.
机译：自1950年代末以来，在外力作用下环的屈曲问题引起了人们的关注。然而，迄今为止，为获得临界压力而开发的配方仅限于正交各向异性层压结构的特殊情况。在这项工作中，进行了分析和数值处理，以提供有关薄而中等厚度的各向异性环和长圆柱体屈曲的结果。建立了薄的各向异性叠层环屈曲的广义封闭式解析公式。使用基于能量的标准公式和经典的叠层理论来获得假定中间变形类的平衡方程。根据环的边界条件将本构方程静态压缩，以产生有效的轴向刚度，耦合刚度和弯曲刚度。此外，还建立了三维（3D）管有限元模型，用于各向异性层压复合材料环或长圆柱的非线性分析。该元素考虑了预屈曲环的扭曲和一阶剪切变形。傅里叶级数展开用于表示圆柱元素三个节点处的变形和几何形状的面内和面外分量。等参二次形函数用于内插它们之间的位移场。分析结果和数值结果的比较表明，对于薄环具有极好的一致性。还进行了参数研究，以解决层压，壳体厚度和初始不圆度缺陷对外部屈曲压力的影响。

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