Name
Abstract | ||
|---|---|---|
A mechanism is statically balanced if for any motion, it does not apply forces on the base. Moreover, if it does not apply torques on the base, the mechanism is said to be dynamically balanced. In this paper, a new method for determining the complete set of dynamically balanced planar four-bar mechanisms is presented. Using complex variables to model the kinematics of the mechanism, the static and dynamic balancing constraints are written as algebraic equations over complex variables and joint angular velocities. After elimination of the joint angular velocity variables, the problem is formulated as a problem of factorization of Laurent polynomials. Using tools from toric geometry including toric polynomial division, necessary and sufficient conditions for static and dynamic balancing of planar four-bar mechanisms are derived. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jsc.2008.05.007 | J. Symb. Comput. |
Keywords | DocType | Volume |
joint angular velocity variable,Dynamic balancing,planar four-bar mechanism,minkowski sum.,toric polynomial division,complex variable,Newton polygon,toric geometry,Minkowski sum,Laurent polynomial,planar mechanism,joint angular velocity,Planar four-bar mechanism,dynamic balancing constraint,newton polygon,dynamically balanced planar four-bar,Static balancing,Toric geometry,dynamic balancing,static balancing | Journal | 44 |
Issue | ISSN | Citations |
9 | Journal of Symbolic Computation | 0 |
PageRank | References | Authors |
0.34 | 11 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Clément M. Gosselin | 1 | 271 | 31.88 |
| Brian Moore | 2 | 0 | 0.68 |
| Josef Schicho | 3 | 17 | 2.75 |