Design General Cam Profiles Based on Finite Element Method
This paper presents a general framework to design a cam profile using the finite element method from given displacements of the follower. The arbitrarily complex cam profile is described by Lagrangian finite elements, which are formed by the connectivity of nodes. In order to obtain the desired prof...
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Format: | Article |
Language: | English |
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MDPI AG
2021-06-01
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Series: | Applied Sciences |
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Online Access: | https://www.mdpi.com/2076-3417/11/13/6052 |
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author | Thi Thanh Nga Nguyen Thang Xuan Duong Van-Sy Nguyen |
author_facet | Thi Thanh Nga Nguyen Thang Xuan Duong Van-Sy Nguyen |
author_sort | Thi Thanh Nga Nguyen |
collection | DOAJ |
description | This paper presents a general framework to design a cam profile using the finite element method from given displacements of the follower. The arbitrarily complex cam profile is described by Lagrangian finite elements, which are formed by the connectivity of nodes. In order to obtain the desired profile, a penalty-type functional that enforces the prescribed displacement of the follower is proposed. Additionally, in order to ensure convexity of the functional, a numerical stabilization scheme is used. The nodal positions are then obtained by solving a nonlinear system of equations resulting from minimizing the total functional. The geometrical accuracy of the cam profile can be controlled by the number of finite elements. A case study is considered to illustrate the flexibility, accuracy, and robustness of the proposed approach. |
first_indexed | 2024-03-09T04:46:27Z |
format | Article |
id | doaj.art-efa9aceaaaee424fbbd660e497d6283b |
institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-03-09T04:46:27Z |
publishDate | 2021-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Applied Sciences |
spelling | doaj.art-efa9aceaaaee424fbbd660e497d6283b2023-12-03T13:15:28ZengMDPI AGApplied Sciences2076-34172021-06-011113605210.3390/app11136052Design General Cam Profiles Based on Finite Element MethodThi Thanh Nga Nguyen0Thang Xuan Duong1Van-Sy Nguyen2Faculty of Mechanical Engineering, Thai Nguyen University of Technology (TNUT), Thai Nguyen City 250000, VietnamAachen Institute for Study in Computational Engineering Science (AICES), RWTH Aachen University, 52062 Aachen, GermanyFaculty of Mechanical Engineering, Thai Nguyen University of Technology (TNUT), Thai Nguyen City 250000, VietnamThis paper presents a general framework to design a cam profile using the finite element method from given displacements of the follower. The arbitrarily complex cam profile is described by Lagrangian finite elements, which are formed by the connectivity of nodes. In order to obtain the desired profile, a penalty-type functional that enforces the prescribed displacement of the follower is proposed. Additionally, in order to ensure convexity of the functional, a numerical stabilization scheme is used. The nodal positions are then obtained by solving a nonlinear system of equations resulting from minimizing the total functional. The geometrical accuracy of the cam profile can be controlled by the number of finite elements. A case study is considered to illustrate the flexibility, accuracy, and robustness of the proposed approach.https://www.mdpi.com/2076-3417/11/13/6052cam profilecam designfinite elementcurvilinear coordinate |
spellingShingle | Thi Thanh Nga Nguyen Thang Xuan Duong Van-Sy Nguyen Design General Cam Profiles Based on Finite Element Method Applied Sciences cam profile cam design finite element curvilinear coordinate |
title | Design General Cam Profiles Based on Finite Element Method |
title_full | Design General Cam Profiles Based on Finite Element Method |
title_fullStr | Design General Cam Profiles Based on Finite Element Method |
title_full_unstemmed | Design General Cam Profiles Based on Finite Element Method |
title_short | Design General Cam Profiles Based on Finite Element Method |
title_sort | design general cam profiles based on finite element method |
topic | cam profile cam design finite element curvilinear coordinate |
url | https://www.mdpi.com/2076-3417/11/13/6052 |
work_keys_str_mv | AT thithanhnganguyen designgeneralcamprofilesbasedonfiniteelementmethod AT thangxuanduong designgeneralcamprofilesbasedonfiniteelementmethod AT vansynguyen designgeneralcamprofilesbasedonfiniteelementmethod |