Finite Element Analysis of Shells of Revolution Using Triangular Discretization Elements with Corrective Lagrange Multipliers

Yu.V. Klochkov; A. P. Nikolaev; O.V. Vakhnina

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Finite Element Analysis of Shells of Revolution Using Triangular Discretization Elements with Corrective Lagrange Multipliers

机译：带有修正拉格朗日乘数的三角离散元素的旋转壳有限元分析

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摘要

A thin shell algorithm based on a special triangular finite element is described. The column of nodal variable parameters of this element additionally contains corrective Lagrange multipliers, which allows one to improve the conditions of compatibility between the elements in the framework of the variational formulation of the problem.

机译：描述了一种基于特殊三角形有限元的薄壳算法。此元素的节点变量参数列还包含校正性拉格朗日乘数，该乘数可在问题的变量表示法框架内改善元素之间的兼容性条件。

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《Moscow university mechanics bulletin》 |2016年第5期|114-117|共4页
作者
Yu.V. Klochkov; A. P. Nikolaev; O.V. Vakhnina;
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作者单位

Volgograd State Agricultural University, Faculty of Electrical Power Engineering, pr. Universitetskii 26, Volgograd, 400002, Russia;

Volgograd State Agricultural University, Faculty of Ecology and Melioration, pr. Universitetskii 26, Volgograd, 400002, Russia;

Volgograd State Agricultural University, Faculty of Electrical Power Engineering, pr. Universitetskii 26, Volgograd, 400002, Russia;

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1. Stress-Strain State Analysis of Shells of Revolution Based on the Triangular Discretization Element with the Lagrange Multipliers [J] . Yu. V. Klochkov, A. P. Nikolaev, O. V. Vakhnina, Russian Aeronautics . 2012,第1期

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2. Calculation of Rotation Shells Using Finite Triangular Elements with Lagrange Multipliers in Variative Approximation of Displacements [J] . Yu. V. Klochkov, A. P. Nikolaev, O. V. Vakhnina Journal of Machinery Manufacture and Reliability . 2016,第1期

机译：变分近似逼近中使用拉格朗日乘数的有限三角形单元计算旋转壳
3. Analysis of Stresses in Branched Shells of Revolution with Joint Zones Using Triangular Finite Elements with Allowance for Elastoplastic Deformation [J] . A. Sh. Dzhabrailov, Yu. V. Klochkov, A. P. Nikolaev, Russian Aeronautics . 2015,第1期

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4. Static and Free Vibration Analysis of Functionally Graded Shells Using a Cell-Based Smoothed Discrete Shear Gap Method and Triangular Elements [C] . D. Le-Xuan, H. Pham-Quoc, V. Tran-The, International Conference on Advances in Computational Mechanics . 2018

机译：使用基于细胞的平滑离散剪切隙法和三角形元素的功能梯度壳的静态和自由振动分析
5. FINITE ELEMENT ANALYSIS OF TRANSIENT CONTACT (ROLLING, LAGRANGE MULTIPLIER, PENALTY METHOD, RIDE COMFORT, TIRE VIBRATION). [D] . NAKAJIMA, YUKIO. 1986

机译：瞬态接触的有限元分析（滚动，拉格朗日乘数，罚分法，乘坐舒适性，轮胎振动）。
6. Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space [O] . Markus Bause, Florin A. Radu, Uwe Köcher -1

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7. GEOMETRICALLY NONLINEAR ANALYSIS OF THIN ARBITRARY SHELLS USING DISCRETE-KIRCHHOFF CURVED TRIANGULAR ELEMENTS (FINITE). [O] . SUBRAMANIAN BALAKRISHNAN. 1985

机译：薄壁任意壳的几何非线性分析，使用离散基尔霍夫曲线三角形单元（有限）。
8. An Improved Discrete-Element Analysis and Program for the Linear-Elastic Static Analysis of Meridionally-Curved, Variable-Thickness, Branched Thin Shells of Revolution Subjected to General External Mechanical and Thermal Loads. Part 2. The Sabor 4 Program [R] . Mack, E. W., Berg, B. A., Witner, E. A. 1968

机译：一般外部机械和热负荷下经向弯曲，变厚度，分支薄壳旋转的线弹性静力分析的改进离散元分析与程序。第2部分.sabor 4计划

Finite Element Analysis of Shells of Revolution Using Triangular Discretization Elements with Corrective Lagrange Multipliers

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