Calculation of Shells of Revolution with the Use of a Mixed FEM with a Vector Approximation Procedure

IF 0.4 Q4 ENGINEERING, MECHANICAL Journal of Machinery Manufacture and Reliability Pub Date : 2024-03-27 DOI:10.1134/s1052618824010059
Yu. V. Klochkov, V. A. Pshenichkina, A. P. Nikolaev, S. S. Marchenko, O. V. Vakhnina, M. Yu. Klochkov
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Abstract

A finite element algorithm in a mixed formulation has been developed to find stresses and displacements occurring in a shell of revolution. The finite discretization element has been taken in the form of a curvilinear quadrangle of the middle shell surface. As the nodal unknowns in the mixed formulation, forces and moments inherent in the middle surface with a bilinear approximation have been used, as have the displacements and their first derivatives in two approximation variants of the sought kinematic quantities in scalar and vector form. By the example of calculations, the efficiency has been shown for the approximation of the sought kinematic quantities as vector fields, and it has been noted that the determination of stresses occurring in shells of revolution made of incompressible materials is quite possible.

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利用矢量近似程序混合有限元计算革命壳体
摘要 已开发出一种混合配方的有限元算法,用于计算旋转壳体中发生的应力和位移。有限离散元素采用中间壳体表面的曲线四边形形式。作为混合公式中的节点未知数,使用了双线性近似的中间表面固有的力和力矩,以及以标量和矢量形式寻求运动学量的两个近似变体中的位移及其一阶导数。计算实例表明,将所求运动学量近似为矢量场的效率很高,而且可以确定由不可压缩材料制成的旋转壳体中出现的应力。
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来源期刊
CiteScore
0.80
自引率
33.30%
发文量
61
期刊介绍: Journal of Machinery Manufacture and Reliability  is devoted to advances in machine design; CAD/CAM; experimental mechanics of machines, machine life expectancy, and reliability studies; machine dynamics and kinematics; vibration, acoustics, and stress/strain; wear resistance engineering; real-time machine operation diagnostics; robotic systems; new materials and manufacturing processes, and other topics.
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