Determination of the complete set of shaking force and shaking moment balanced planar four-bar linkages

被引:10
|
作者
Moore, Brian [1 ]
Schicho, Josef [1 ]
Gosselin, Clement M. [2 ]
机构
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, A-4040 Linz, Austria
[2] Univ Laval, Dept Genie Mecan, Quebec City, PQ G1V 0A6, Canada
基金
加拿大自然科学与工程研究理事会; 奥地利科学基金会;
关键词
Shaking force balancing; Shaking moment balancing; Dynamic balancing; Planar four-bar mechanisms; MECHANISMS; DESIGN; 3-DOF;
D O I
10.1016/j.mechmachtheory.2008.10.004
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A mechanism is said to be force balanced if, for any arbitrary motion, it does not apply reaction forces on the base. Moreover, if it does not apply torques on the base, the mechanism is said to be moment balanced or dynamically balanced. In this paper, a new method to determine the complete set of force and moment balanced planar four-bar linkages is presented. Using complex variables to model the kinematics of the linkage, the force and moment balancing constraints are written as algebraic equations over complex variables and joint angular velocities. Using polynomial division, necessary and sufficient conditions for the balancing of planar four-bar linkages are derived. (C) 2008 Elsevier Ltd. All rights reserved.
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页码:1338 / 1347
页数:10
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