椭圆膜壳热弹性动力系统的有效解耦算法

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Wangxi Duan , Xiaoqin Shen , Paolo Piersanti , Ying Liu , Mingchao Cai
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引用次数: 0

摘要

在这项研究中,我们提出了一个新的计算框架来近似椭圆膜壳模型的动力学,当它与热方程耦合时。本文提出的算法有效地解决了位移场和温度场之间的耦合问题,大大降低了计算复杂度。空间离散采用有限元方法,时间离散采用Newmark-Crank-Nicolson格式。对椭圆壳和球壳零件进行了数值实验,分析了不同材料参数下Newmark参数值和空间步长所对应的误差。值得注意的是,我们观察到误差收敛受到所考虑的椭圆膜中间表面对称性的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An efficient decoupling algorithm for thermoelastic dynamic system of elliptic membrane shell
In this study, we propose a novel computational framework for approximating the dynamics of the elliptic membrane shell model when it is coupled with thermal equations. The algorithm we propose here effectively addresses the coupling between the displacement and temperature fields, significantly reducing computational complexity. Spatial discretization is performed using the finite element method, while time discretization is based on the Newmark–Crank–Nicolson scheme. Numerical experiments are conducted on parts of elliptic and spherical shells, and the corresponding errors are analyzed for different values of the Newmark parameters and spatial steps for varying material parameters. Notably, we observe that the error convergence is influenced by the symmetry of the middle surface of the elliptic membrane under consideration.
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来源期刊
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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