High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational Geometry

This paper proposes a (computer aided design) CAD variational geometry approach for the high-order dimension synthesis of one-DoF mechanisms based on the given velocity/acceleration of a moving platform along a prescribed trajectory. The objective of this approach is to determine the reasonable dime...

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Main Authors: Yi Lu, Yang Lu, Nijia Ye, Lin Yuan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2012/501251
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author Yi Lu
Yang Lu
Nijia Ye
Lin Yuan
author_facet Yi Lu
Yang Lu
Nijia Ye
Lin Yuan
author_sort Yi Lu
collection DOAJ
description This paper proposes a (computer aided design) CAD variational geometry approach for the high-order dimension synthesis of one-DoF mechanisms based on the given velocity/acceleration of a moving platform along a prescribed trajectory. The objective of this approach is to determine the reasonable dimensions of the mechanisms when given the velocity or/and the acceleration of the moving platform along a prescribed trajectory. First, some concepts and mathematical foundations are explained for constructing the velocity/acceleration simulation mechanism of a general mechanism. Second, the inverse velocity/acceleration simulation mechanisms of the planar/spatial four-bar mechanisms with one-DoF are constructed by the CAD variational geometry. Third, when given the position and the velocity/acceleration of the coupler along a prescribed trajectory, all the reasonable dimensions of the planar/spatial four-bar mechanisms are solved from their simulation mechanisms.
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issn 1687-5591
1687-5605
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publishDate 2012-01-01
publisher Wiley
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series Modelling and Simulation in Engineering
spelling doaj-art-78eeae0b21e644389a46cc66cd5ee0932025-08-20T02:07:30ZengWileyModelling and Simulation in Engineering1687-55911687-56052012-01-01201210.1155/2012/501251501251High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational GeometryYi Lu0Yang Lu1Nijia Ye2Lin Yuan3Parallel Robot and Mechatronic System Laboratory, Hebei Province, Key Laboratory, Advanced Forging and Stamping Technology and Science, Ministry of National Education, and College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, ChinaYingkou Equipment Development and Manufacturing Co., Ltd., Liaoning, Yingkou 115004, ChinaYingkou Equipment Development and Manufacturing Co., Ltd., Liaoning, Yingkou 115004, ChinaParallel Robot and Mechatronic System Laboratory, Hebei Province, Key Laboratory, Advanced Forging and Stamping Technology and Science, Ministry of National Education, and College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, ChinaThis paper proposes a (computer aided design) CAD variational geometry approach for the high-order dimension synthesis of one-DoF mechanisms based on the given velocity/acceleration of a moving platform along a prescribed trajectory. The objective of this approach is to determine the reasonable dimensions of the mechanisms when given the velocity or/and the acceleration of the moving platform along a prescribed trajectory. First, some concepts and mathematical foundations are explained for constructing the velocity/acceleration simulation mechanism of a general mechanism. Second, the inverse velocity/acceleration simulation mechanisms of the planar/spatial four-bar mechanisms with one-DoF are constructed by the CAD variational geometry. Third, when given the position and the velocity/acceleration of the coupler along a prescribed trajectory, all the reasonable dimensions of the planar/spatial four-bar mechanisms are solved from their simulation mechanisms.http://dx.doi.org/10.1155/2012/501251
spellingShingle Yi Lu
Yang Lu
Nijia Ye
Lin Yuan
High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational Geometry
Modelling and Simulation in Engineering
title High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational Geometry
title_full High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational Geometry
title_fullStr High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational Geometry
title_full_unstemmed High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational Geometry
title_short High-Order Dimension Synthesis of Planar/Spatial Mechanisms with One-DoF by CAD Variational Geometry
title_sort high order dimension synthesis of planar spatial mechanisms with one dof by cad variational geometry
url http://dx.doi.org/10.1155/2012/501251
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