On the balancers of any frequency term of the shaking moment of spatial mechanisms

Author:

Chiou S-T1,Tzou J-C2

Affiliation:

1. National Cheng Kung University Department of Mechanical Engineering Tainan, Taiwan

2. Kung Shan Institute of Technology and Commerce Department of Mechanical Engineering Tainan, Taiwan

Abstract

It is proved in this paper that the hodograph of a frequency term (for example the kth frequency term) of the shaking moment of spatial mechanisms is an ellipse. Furthermore, expressions are provided for the lengths and attitudes of the semi-axes of this ellipse in terms of Fourier coefficients of the shaking moment. Accordingly, two equivalent systems of the kth frequency term of the shaking moment can be found; consequently two types of their balancers are proposed. A 7-R linkage is used as a numerical example for demonstrating the effects of the balancers. Additionally, it is also shown that the result of a previous work by other researchers, concerning the optimum balancing of a frequency term of pitching and yawing components of the shaking moment of high-speed machinery, is a special case of this study; furthermore, additional to the balancer they proposed, another is provided.

Publisher

SAGE Publications

Subject

Mechanical Engineering

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1. Guidelines for Low Mass and Low Inertia Dynamic Balancing of Mechanisms and Robotics;Advances in Robotics Research;2009

2. Complete shaking force and shaking moment balancing of RSS'R spatial linkages;Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics;2007-06-01

3. Shaking moment cancellation of self-balanced slider–crank mechanical systems by means of optimum mass redistribution;Mechanics Research Communications;2006-11

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