通过有限单元法的绝对节点坐标公式对具有复杂几何形状的柔性多体系统进行动态建模

IF 3.7 2区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Mechanics Pub Date : 2024-05-06 DOI:10.1007/s00466-024-02482-4
Yue Feng, Jianqiao Guo, Qiang Tian, Haiyan Hu
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引用次数: 0

摘要

实用的多体系统通常由形状复杂的柔性体组成,但现有的动态建模方法只能有效地用于形状简单规则的柔性体系统。本研究提出了一种新的计算方法,通过有限单元法(FCM)和绝对节点坐标公式的整合,模拟具有复杂形状柔性体的柔性多体系统的动力学。传统的 FCM 网格与体边界不对齐,导致切割单元中存在大量积分点。本研究利用布尔 FCM 与压缩子单元法来减少积分点数量,提高计算效率。本文使用七个静态和动态数值示例来验证所提出的方法。
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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Dynamic modeling of flexible multibody systems with complex geometry via finite cell method of absolute nodal coordinate formulation

Practical multibody systems usually consist of flexible bodies of complex shapes, but existing dynamic modeling methods work efficiently only for the systems with bodies of simple and regular shapes. This study proposes a novel computational method for simulating dynamics of flexible multibody systems with flexible bodies of complex shapes via an integration of the finite cell method (FCM) and the absolute nodal coordinate formulation. The classic mesh of FCM is not aligned to the body boundaries, leading to a large number of integration points in cut cells. This study utilizes the Boolean FCM with compressed sub-cell method to reduce the number of integration points and improve computation efficiency. Seven static and dynamic numerical examples are used to validate the proposed method.

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来源期刊
Computational Mechanics
Computational Mechanics 物理-力学
CiteScore
7.80
自引率
12.20%
发文量
122
审稿时长
3.4 months
期刊介绍: The journal reports original research of scholarly value in computational engineering and sciences. It focuses on areas that involve and enrich the application of mechanics, mathematics and numerical methods. It covers new methods and computationally-challenging technologies. Areas covered include method development in solid, fluid mechanics and materials simulations with application to biomechanics and mechanics in medicine, multiphysics, fracture mechanics, multiscale mechanics, particle and meshfree methods. Additionally, manuscripts including simulation and method development of synthesis of material systems are encouraged. Manuscripts reporting results obtained with established methods, unless they involve challenging computations, and manuscripts that report computations using commercial software packages are not encouraged.
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