A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method

A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method

In order to reduce the feed rate fluctuation of interpolation, a novel approach for NURBS interpolation with minimal feed rate fluctuation based on improved Adams-Moulton (IAM) method is proposed. At first, the representation and calculation of NURBS curve interpolation are described. Then, the cons...

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Main Authors: Junquan Peng, Xinhua Liu, Lei Si, Jingjing Liu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/8718760
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spelling doaj-87509f99a2d44e5cb09fd4250f2b96602020-11-24T22:25:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/87187608718760A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton MethodJunquan Peng0Xinhua Liu1Lei Si2Jingjing Liu3School of Mechanical and Electrical Engineering, China University of Mining & Technology, Xuzhou, ChinaSchool of Mechanical and Electrical Engineering, China University of Mining & Technology, Xuzhou, ChinaSchool of Mechanical and Electrical Engineering, China University of Mining & Technology, Xuzhou, ChinaSchool of Mechanical and Electrical Engineering, China University of Mining & Technology, Xuzhou, ChinaIn order to reduce the feed rate fluctuation of interpolation, a novel approach for NURBS interpolation with minimal feed rate fluctuation based on improved Adams-Moulton (IAM) method is proposed. At first, the representation and calculation of NURBS curve interpolation are described. Then, the constraints of feeding step length are firstly given out to calculate the minimal hoping feeding step length and the detailed IAM method of NURBS curve interpolation is presented. Finally, simulations and experiments are carried out to verify the feasibility and applicability of proposed IAM method.http://dx.doi.org/10.1155/2017/8718760
collection DOAJ
language English
format Article
sources DOAJ
author Junquan Peng
Xinhua Liu
Lei Si
Jingjing Liu
spellingShingle Junquan Peng
Xinhua Liu
Lei Si
Jingjing Liu
A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method
Mathematical Problems in Engineering
author_facet Junquan Peng
Xinhua Liu
Lei Si
Jingjing Liu
author_sort Junquan Peng
title A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method
title_short A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method
title_full A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method
title_fullStr A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method
title_full_unstemmed A Novel Approach for NURBS Interpolation with Minimal Feed Rate Fluctuation Based on Improved Adams-Moulton Method
title_sort novel approach for nurbs interpolation with minimal feed rate fluctuation based on improved adams-moulton method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description In order to reduce the feed rate fluctuation of interpolation, a novel approach for NURBS interpolation with minimal feed rate fluctuation based on improved Adams-Moulton (IAM) method is proposed. At first, the representation and calculation of NURBS curve interpolation are described. Then, the constraints of feeding step length are firstly given out to calculate the minimal hoping feeding step length and the detailed IAM method of NURBS curve interpolation is presented. Finally, simulations and experiments are carried out to verify the feasibility and applicability of proposed IAM method.
url http://dx.doi.org/10.1155/2017/8718760
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