Mobility analysis of generalized angulated scissor-like elements with the reciprocal screw theory

Jianguo Cai; Xiaowei Deng; Jian Feng; Yixiang Xu

doi:10.1016/j.mechmachtheory.2014.07.011

Mobility analysis of generalized angulated scissor-like elements with the reciprocal screw theory

Jianguo Cai, Xiaowei Deng, Jian Feng, Yixiang Xu

Research output: Journal Publication › Article › peer-review

27 Citations (Scopus)

Abstract

This paper deals with the planar closed loop linkage consisting of a series of scissor-like elements connected by revolute joints. Because every generalized angulated element (GAE) subtends a constant angle during the motion, every angulated link was assumed as a PRRP linkage which has two prismatic joints and two revolute joints. Therefore, the two PRRP linkages of the GAE are individually movable with a single degree of freedom. The mobility of two types of GAEs was investigated with the method based on the screw theory. It has been proven that both types of GAEs are movable because the terminal constraints exerted to the common joint by the two linkages are equal.

Original language	English
Pages (from-to)	256-265
Number of pages	10
Journal	Mechanism and Machine Theory
Volume	82
DOIs	https://doi.org/10.1016/j.mechmachtheory.2014.07.011
Publication status	Published - Dec 2014
Externally published	Yes

Keywords

Kinematics
Linkages
Scissor-like element
Screw theory

ASJC Scopus subject areas

Bioengineering
Mechanics of Materials
Mechanical Engineering
Computer Science Applications

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10.1016/j.mechmachtheory.2014.07.011

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title = "Mobility analysis of generalized angulated scissor-like elements with the reciprocal screw theory",

abstract = "This paper deals with the planar closed loop linkage consisting of a series of scissor-like elements connected by revolute joints. Because every generalized angulated element (GAE) subtends a constant angle during the motion, every angulated link was assumed as a PRRP linkage which has two prismatic joints and two revolute joints. Therefore, the two PRRP linkages of the GAE are individually movable with a single degree of freedom. The mobility of two types of GAEs was investigated with the method based on the screw theory. It has been proven that both types of GAEs are movable because the terminal constraints exerted to the common joint by the two linkages are equal.",

keywords = "Kinematics, Linkages, Scissor-like element, Screw theory",

author = "Jianguo Cai and Xiaowei Deng and Jian Feng and Yixiang Xu",

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T1 - Mobility analysis of generalized angulated scissor-like elements with the reciprocal screw theory

AU - Cai, Jianguo

AU - Deng, Xiaowei

AU - Feng, Jian

AU - Xu, Yixiang

PY - 2014/12

Y1 - 2014/12

N2 - This paper deals with the planar closed loop linkage consisting of a series of scissor-like elements connected by revolute joints. Because every generalized angulated element (GAE) subtends a constant angle during the motion, every angulated link was assumed as a PRRP linkage which has two prismatic joints and two revolute joints. Therefore, the two PRRP linkages of the GAE are individually movable with a single degree of freedom. The mobility of two types of GAEs was investigated with the method based on the screw theory. It has been proven that both types of GAEs are movable because the terminal constraints exerted to the common joint by the two linkages are equal.

AB - This paper deals with the planar closed loop linkage consisting of a series of scissor-like elements connected by revolute joints. Because every generalized angulated element (GAE) subtends a constant angle during the motion, every angulated link was assumed as a PRRP linkage which has two prismatic joints and two revolute joints. Therefore, the two PRRP linkages of the GAE are individually movable with a single degree of freedom. The mobility of two types of GAEs was investigated with the method based on the screw theory. It has been proven that both types of GAEs are movable because the terminal constraints exerted to the common joint by the two linkages are equal.

KW - Kinematics

KW - Linkages

KW - Scissor-like element

KW - Screw theory

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M3 - Article

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SN - 0094-114X

VL - 82

SP - 256

EP - 265

JO - Mechanism and Machine Theory

JF - Mechanism and Machine Theory

ER -

Mobility analysis of generalized angulated scissor-like elements with the reciprocal screw theory

Abstract

Keywords

ASJC Scopus subject areas

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