Static and dynamic analysis of multi-component structures based on multiple point constraint using smoothed finite element methods

IF 2.7 3区材料科学 Q2 ENGINEERING, MECHANICAL

International Journal of Mechanics and Materials in Design Pub Date : 2023-12-18 DOI:10.1007/s10999-023-09687-0

Hong Yang, Jixiao Wang, Yongjie Pei, Guangze Tang, She Li, Xiangyang Cui

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引用次数: 0

Abstract

The smoothed finite element methods (SFEM) have demonstrated their ability to generate more flexible models, offering increased reliability compared to traditional FEM in certain straightforward and idealized situations. To explore the potential of SFEM in complex engineering problems, this paper, for the first time, combining with multiple point constraints to develop a simple and general procedure to study various analysis types of multi-component structures, via (1) the global matrix is constructed by eliminating independent degrees of freedom; (2) the local matrix generated by the SFEM is divided into four kinds of sub-domains, and any entry of the local matrix is assembled to the global matrix depending on the type of sub-domain. By implementing this approach without augmenting the number of equations, the current method excels not only in the analysis of multi-component structures but also outperforms ABAQUS and NASTRAN in terms of effectiveness and efficiency. This superiority has been convincingly demonstrated through several numerical examples, providing strong validation for the proposed method.

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使用平滑有限元方法对基于多点约束的多组件结构进行静态和动态分析

平滑有限元法（SFEM）已证明其有能力生成更灵活的模型，在某些简单和理想化的情况下，与传统有限元法相比，其可靠性更高。为了探索 SFEM 在复杂工程问题中的应用潜力，本文首次结合多点约束开发了一种简单而通用的程序，用于研究多组件结构的各种分析类型，具体方法是：（1）通过消除独立自由度构建全局矩阵；（2）将 SFEM 生成的局部矩阵划分为四种子域，并根据子域类型将局部矩阵的任意条目装配到全局矩阵中。通过采用这种不增加方程数量的方法，目前的方法不仅在多组件结构分析方面表现出色，而且在效果和效率方面优于 ABAQUS 和 NASTRAN。这一优势已通过几个数值实例得到了令人信服的证明，为所提出的方法提供了有力的验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Mechanics and Materials in Design ENGINEERING, MECHANICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

6.00

自引率

5.40%

发文量

审稿时长

>12 weeks

期刊介绍： It is the objective of this journal to provide an effective medium for the dissemination of recent advances and original works in mechanics and materials'' engineering and their impact on the design process in an integrated, highly focused and coherent format. The goal is to enable mechanical, aeronautical, civil, automotive, biomedical, chemical and nuclear engineers, researchers and scientists to keep abreast of recent developments and exchange ideas on a number of topics relating to the use of mechanics and materials in design. Analytical synopsis of contents: The following non-exhaustive list is considered to be within the scope of the International Journal of Mechanics and Materials in Design: Intelligent Design: Nano-engineering and Nano-science in Design; Smart Materials and Adaptive Structures in Design; Mechanism(s) Design; Design against Failure; Design for Manufacturing; Design of Ultralight Structures; Design for a Clean Environment; Impact and Crashworthiness; Microelectronic Packaging Systems. Advanced Materials in Design: Newly Engineered Materials; Smart Materials and Adaptive Structures; Micromechanical Modelling of Composites; Damage Characterisation of Advanced/Traditional Materials; Alternative Use of Traditional Materials in Design; Functionally Graded Materials; Failure Analysis: Fatigue and Fracture; Multiscale Modelling Concepts and Methodology; Interfaces, interfacial properties and characterisation. Design Analysis and Optimisation: Shape and Topology Optimisation; Structural Optimisation; Optimisation Algorithms in Design; Nonlinear Mechanics in Design; Novel Numerical Tools in Design; Geometric Modelling and CAD Tools in Design; FEM, BEM and Hybrid Methods; Integrated Computer Aided Design; Computational Failure Analysis; Coupled Thermo-Electro-Mechanical Designs.