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Frontiers of Mechanical Engineering

Front Mech Eng    2013, Vol. 8 Issue (1) : 10-16     https://doi.org/10.1007/s11465-013-0359-2
RESEARCH ARTICLE
Shaking-moment balancing of mechanisms with principal vectors and momentum
V. van der WIJK()
University of Twente-Engineering Technology, Enschede 7500 AE, Netherlands
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Abstract

The design of shaking-moment-balanced linkages still is challenging. Considering moment balance in the very beginning of the design process of mechanisms is important for finding applicable solutions. For this purpose, the method of principal vectors is investigated, showing a compact notation of the angular momentum with respect to the center of mass. The moment balance conditions are derived for three elements in series from which balance solutions are synthesized and illustrated. From the application for moment balancing of a 4R four-bar linkage it is shown that the moment balancing of closed kinematic chains remains challenging.

Keywords shaking-moment balancing      principal vector linkage      angular momentum     
Corresponding Author(s): WIJK V. van der,Email:v.vanderwijk@utwente.nl   
Issue Date: 05 March 2013
 Cite this article:   
V. van der WIJK. Shaking-moment balancing of mechanisms with principal vectors and momentum[J]. Front Mech Eng, 2013, 8(1): 10-16.
 URL:  
http://journal.hep.com.cn/fme/EN/10.1007/s11465-013-0359-2
http://journal.hep.com.cn/fme/EN/Y2013/V8/I1/10
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Fig.1  The common CoM of three elements in series is in joint of a principal vector linkage with principal dimensions , , , and for all motion. Element CoM is defined w.r.t. by a parallelogram with sides and as illustrated
Fig.2  Moment-balance configurations for (a) with ; (b) and
Fig.3  Moment-balance configuration for for <1 in which joints and , and and coincide, respectively, and also elements 2 and 3 coincide for all motion
Fig.4  (a) Force-balanced 4R four-bar linkage derived from principal vector linkage with base link 4; (b) two moment-balance configurations of the 4R four-bar linkage
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