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...

Full description

Bibliographic Details
Main Authors: Thi Thanh Nga Nguyen, Thang Xuan Duong, Van-Sy Nguyen
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/13/6052
_version_ 1797411529934503936
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