{"title":"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","authors":"Yue Feng, Jianqiao Guo, Qiang Tian, Haiyan Hu","doi":"10.1007/s00466-024-02482-4","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"16 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamic modeling of flexible multibody systems with complex geometry via finite cell method of absolute nodal coordinate formulation\",\"authors\":\"Yue Feng, Jianqiao Guo, Qiang Tian, Haiyan Hu\",\"doi\":\"10.1007/s00466-024-02482-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":55248,\"journal\":{\"name\":\"Computational Mechanics\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-05-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s00466-024-02482-4\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00466-024-02482-4","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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.
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.