Large displacement analysis of egg-shaped containment shells using Lagrange multipliers

应力结果 几何学 球壳 壳体(结构) 流离失所(心理学) 数学 拉格朗日乘数 弯矩 半径 间断(语言学) 数学分析 有限元法 机械 物理 结构工程 材料科学 工程类 数学优化 复合材料 计算机科学 心理治疗师 计算机安全 心理学
作者
Weeraphan Jiammeepreecha,Komkorn Chaidachatorn,Somchai Chucheepsakul
出处
期刊:International Journal of Solids and Structures [Elsevier BV]
卷期号:279: 112390-112390
标识
DOI:10.1016/j.ijsolstr.2023.112390
摘要

In this paper, a large displacement analysis of three-center-combined spherical shells, used as egg-shaped containment structures, is performed using the first and second fundamental forms of the shell surface with two different radii of curvature. The energy functional of the three-center-combined spherical shells system is derived using a variational formulation, and is written in the appropriate form to reduce the computation time in an iterative procedure. The numerical results in terms of displacement, membrane stress, and bending moment resultants are obtained by nonlinear finite element analysis with a fifth-order polynomial shape function. At the spherical shell edge, the Lagrange multipliers technique is used to enforce the discontinuity effect. The main conclusions are that the displacement responses, membrane stress, and bending moment resultants depend on the geometric parameters of the three-center-combined spherical shells. The Lagrange multipliers correspond to the internal forces due to the displacement and the slope at the shell edge in order to sustain the smooth curve for deformed configuration of the three-center-combined spherical shells under uniform pressure. The volume capacity of the three-center-combined spherical shells are more than the spherical shells with a constant radius. Finally, the results indicate that the linear assumption is good enough for all practical purposes. However, the large displacement analysis becomes significant on the tangential displacement, meridional, and circumferential moments under the large value of uniform pressure.
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