THE HODOGRAPH AND THE BALANCER OF ANY FREQUENCY TERM OF THE SHAKING FORCE OF SPATIAL MECHANISMS

Authors
CHIOU ST TZOU JC
Citation
St. Chiou et Jc. Tzou, THE HODOGRAPH AND THE BALANCER OF ANY FREQUENCY TERM OF THE SHAKING FORCE OF SPATIAL MECHANISMS, Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science, 210(2), 1996, pp. 135-141
Citations number
34
Categorie Soggetti
Engineering, Mechanical
Journal title
Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science → ACNP
ISSN journal
09544062
Volume
210
Issue
2
Year of publication
1996
Pages
135 - 141
Database
ISI
SICI code
0954-4062(1996)210:2<135:THATBO>2.0.ZU;2-T
Abstract
It is proved in this paper that the hodograph of a frequency term (for example the kth frequency term) of the shaking force of spatial mecha nisms is an ellipse. Furthermore, expressions are provided for the len gths and attitudes of the semi-axes of this ellipse in terms of Fourie r coefficients of the shaking force. Accordingly, a pair of counter we ights, contra-rotating at k times of cycle frequency with their axes p arallel to the unit normal vector of the hodograph plane, can be insta lled for eliminating the frequency term of the shaking force of spatia l mechanisms. An example of a seven-link 7-R spatial linkage is includ ed.