基于节点的平滑有限元法（NS-FEM）用于三维（3D）结构的自由振动和强迫振动分析

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Computational Methods Pub Date : 2024-05-10 DOI:10.1142/s0219876223420100

Jingui Zhao, Guirong Liu, Shuhao Huo, Gang Wang, Chao Sun, Zirui Li

{"title":"基于节点的平滑有限元法（NS-FEM）用于三维（3D）结构的自由振动和强迫振动分析","authors":"Jingui Zhao, Guirong Liu, Shuhao Huo, Gang Wang, Chao Sun, Zirui Li","doi":"10.1142/s0219876223420100","DOIUrl":null,"url":null,"abstract":"The smoothed finite element method (S-FEM) has been found to be an effective solution method for solid mechanics problems. This paper represents an effective approach to compute the lower bounds of free vibration and the upper bounds of the forced vibration of solid structures, by making use of the important softening effects of node-based smoothed finite element method (NS-FEM). This paper explores, for the first time, this unique feature of NS-FEM to develop a complete formulism and procedure to study free vibration and forced vibration of solid structures, via 1) solving eigenvalue problems that produces vibration modes of a given structure; 2) using model superimposition techniques and the Lanczos algorithm to obtain transient dynamic solution for structures subjected to arbitrary dynamics forces. For easy automation in creating 3D solids, we use only the automatically generatable tetrahedral mesh, while to ensure excellent stress solution using the NS-FEM models. The results are compared with those from the commercial finite element analysis software ABAQUS in terms of accuracy and convergence.","PeriodicalId":54968,"journal":{"name":"International Journal of Computational Methods","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A node-based smoothed finite element method (NS-FEM) for free and forced vibration analysis of three-dimensional (3D) structures\",\"authors\":\"Jingui Zhao, Guirong Liu, Shuhao Huo, Gang Wang, Chao Sun, Zirui Li\",\"doi\":\"10.1142/s0219876223420100\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The smoothed finite element method (S-FEM) has been found to be an effective solution method for solid mechanics problems. This paper represents an effective approach to compute the lower bounds of free vibration and the upper bounds of the forced vibration of solid structures, by making use of the important softening effects of node-based smoothed finite element method (NS-FEM). This paper explores, for the first time, this unique feature of NS-FEM to develop a complete formulism and procedure to study free vibration and forced vibration of solid structures, via 1) solving eigenvalue problems that produces vibration modes of a given structure; 2) using model superimposition techniques and the Lanczos algorithm to obtain transient dynamic solution for structures subjected to arbitrary dynamics forces. For easy automation in creating 3D solids, we use only the automatically generatable tetrahedral mesh, while to ensure excellent stress solution using the NS-FEM models. The results are compared with those from the commercial finite element analysis software ABAQUS in terms of accuracy and convergence.\",\"PeriodicalId\":54968,\"journal\":{\"name\":\"International Journal of Computational Methods\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Computational Methods\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1142/s0219876223420100\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computational Methods","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1142/s0219876223420100","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

平滑有限元法（S-FEM）已被认为是解决固体力学问题的有效方法。本文利用基于节点的平滑有限元法（NS-FEM）的重要软化效应，提出了一种计算固体结构自由振动下限和受迫振动上限的有效方法。本文首次探索了 NS-FEM 的这一独特功能，通过 1) 求解产生给定结构振动模式的特征值问题；2) 使用模型叠加技术和 Lanczos 算法获得受任意动力作用的结构的瞬态动态解，从而开发出研究固体结构自由振动和受迫振动的完整公式和程序。为了便于自动创建三维实体，我们只使用了可自动生成的四面体网格，同时使用 NS-FEM 模型来确保出色的应力求解。在精度和收敛性方面，我们将结果与商用有限元分析软件 ABAQUS 的结果进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A node-based smoothed finite element method (NS-FEM) for free and forced vibration analysis of three-dimensional (3D) structures

The smoothed finite element method (S-FEM) has been found to be an effective solution method for solid mechanics problems. This paper represents an effective approach to compute the lower bounds of free vibration and the upper bounds of the forced vibration of solid structures, by making use of the important softening effects of node-based smoothed finite element method (NS-FEM). This paper explores, for the first time, this unique feature of NS-FEM to develop a complete formulism and procedure to study free vibration and forced vibration of solid structures, via 1) solving eigenvalue problems that produces vibration modes of a given structure; 2) using model superimposition techniques and the Lanczos algorithm to obtain transient dynamic solution for structures subjected to arbitrary dynamics forces. For easy automation in creating 3D solids, we use only the automatically generatable tetrahedral mesh, while to ensure excellent stress solution using the NS-FEM models. The results are compared with those from the commercial finite element analysis software ABAQUS in terms of accuracy and convergence.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Journal of Computational Methods ENGINEERING, MULTIDISCIPLINARY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.30

自引率

17.60%

发文量

审稿时长

15 months

期刊介绍： The purpose of this journal is to provide a unique forum for the fast publication and rapid dissemination of original research results and innovative ideas on the state-of-the-art on computational methods. The methods should be innovative and of high scholarly, academic and practical value. The journal is devoted to all aspects of modern computational methods including mathematical formulations and theoretical investigations; interpolations and approximation techniques; error analysis techniques and algorithms; fast algorithms and real-time computation; multi-scale bridging algorithms; adaptive analysis techniques and algorithms; implementation, coding and parallelization issues; novel and practical applications. The articles can involve theory, algorithm, programming, coding, numerical simulation and/or novel application of computational techniques to problems in engineering, science, and other disciplines related to computations. Examples of fields covered by the journal are: Computational mechanics for solids and structures, Computational fluid dynamics, Computational heat transfer, Computational inverse problem, Computational mathematics, Computational meso/micro/nano mechanics, Computational biology, Computational penetration mechanics, Meshfree methods, Particle methods, Molecular and Quantum methods, Advanced Finite element methods, Advanced Finite difference methods, Advanced Finite volume methods, High-performance computing techniques.