Fei Guo, Fan Wu, Xinyong Li, Yijie Huang, Zhuo Wang
{"title":"FFT-Based Numerical Method for Nonlinear Elastic Contact","authors":"Fei Guo, Fan Wu, Xinyong Li, Yijie Huang, Zhuo Wang","doi":"10.1186/s10033-023-00953-y","DOIUrl":null,"url":null,"abstract":"Abstract In theoretical research pertaining to sealing, a contact model must be used to obtain the leakage channel. However, for elastoplastic contact, current numerical methods require a long calculation time. Hyperelastic contact is typically simplified to a linear elastic contact problem, which must be improved in terms of calculation accuracy. Based on the fast Fourier transform, a numerical method suitable for elastoplastic and hyperelastic frictionless contact that can be used for solving two-dimensional and three-dimensional (3D) contact problems is proposed herein. The nonlinear elastic contact problem is converted into a linear elastic contact problem considering residual deformation (or the equivalent residual deformation). Results from numerical simulations for elastic, elastoplastic, and hyperelastic contact between a hemisphere and a rigid plane are compared with those obtained using the finite element method to verify the accuracy of the numerical method. Compared with the existing elastoplastic contact numerical methods, the proposed method achieves a higher calculation efficiency while ensuring a certain calculation accuracy (i.e., the pressure error does not exceed 15%, whereas the calculation time does not exceed 10 min in a 64 × 64 grid). For hyperelastic contact, the proposed method reduces the dependence of the approximation result on the load, as in a linear elastic approximation. Finally, using the sealing application as an example, the contact and leakage rates between complicated 3D rough surfaces are calculated. Despite a certain error, the simplified numerical method yields a better approximation result than the linear elastic contact approximation. Additionally, the result can be used as fast solutions in engineering applications.","PeriodicalId":10115,"journal":{"name":"Chinese Journal of Mechanical Engineering","volume":"24 9","pages":"0"},"PeriodicalIF":4.2000,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Journal of Mechanical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/s10033-023-00953-y","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract In theoretical research pertaining to sealing, a contact model must be used to obtain the leakage channel. However, for elastoplastic contact, current numerical methods require a long calculation time. Hyperelastic contact is typically simplified to a linear elastic contact problem, which must be improved in terms of calculation accuracy. Based on the fast Fourier transform, a numerical method suitable for elastoplastic and hyperelastic frictionless contact that can be used for solving two-dimensional and three-dimensional (3D) contact problems is proposed herein. The nonlinear elastic contact problem is converted into a linear elastic contact problem considering residual deformation (or the equivalent residual deformation). Results from numerical simulations for elastic, elastoplastic, and hyperelastic contact between a hemisphere and a rigid plane are compared with those obtained using the finite element method to verify the accuracy of the numerical method. Compared with the existing elastoplastic contact numerical methods, the proposed method achieves a higher calculation efficiency while ensuring a certain calculation accuracy (i.e., the pressure error does not exceed 15%, whereas the calculation time does not exceed 10 min in a 64 × 64 grid). For hyperelastic contact, the proposed method reduces the dependence of the approximation result on the load, as in a linear elastic approximation. Finally, using the sealing application as an example, the contact and leakage rates between complicated 3D rough surfaces are calculated. Despite a certain error, the simplified numerical method yields a better approximation result than the linear elastic contact approximation. Additionally, the result can be used as fast solutions in engineering applications.
期刊介绍:
Chinese Journal of Mechanical Engineering (CJME) was launched in 1988. It is a peer-reviewed journal under the govern of China Association for Science and Technology (CAST) and sponsored by Chinese Mechanical Engineering Society (CMES).
The publishing scopes of CJME follow with:
Mechanism and Robotics, including but not limited to
-- Innovative Mechanism Design
-- Mechanical Transmission
-- Robot Structure Design and Control
-- Applications for Robotics (e.g., Industrial Robot, Medical Robot, Service Robot…)
-- Tri-Co Robotics
Intelligent Manufacturing Technology, including but not limited to
-- Innovative Industrial Design
-- Intelligent Machining Process
-- Artificial Intelligence
-- Micro- and Nano-manufacturing
-- Material Increasing Manufacturing
-- Intelligent Monitoring Technology
-- Machine Fault Diagnostics and Prognostics
Advanced Transportation Equipment, including but not limited to
-- New Energy Vehicle Technology
-- Unmanned Vehicle
-- Advanced Rail Transportation
-- Intelligent Transport System
Ocean Engineering Equipment, including but not limited to
--Equipment for Deep-sea Exploration
-- Autonomous Underwater Vehicle
Smart Material, including but not limited to
--Special Metal Functional Materials
--Advanced Composite Materials
--Material Forming Technology.