Dynamic balancing of planar mechanisms using toric geometry

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dc.creatorMoore, Brian
dc.creatorSchicho, Josef
dc.creatorGosselin, Clement M.
dc.date2007-11-23
dc.date.accessioned2026-07-07T08:44:41Z
dc.date.available2026-07-07T08:44:41Z
dc.descriptionIn this paper, a new method to determine the complete set of dynamically balanced planar four-bar mechanims is presented. Using complex variables to model the kinematics of the mechanism, the 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 toric polynomial division, necessary and sufficient conditions for dynamic balancing of planar four-bar mechanisms are derived.
dc.identifierhttps://arxiv.org/abs/0711.3742
dc.identifierhttp://arxiv.org/abs/0711.3742
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142745
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14H50; 14Q99
dc.titleDynamic balancing of planar mechanisms using toric geometry
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