Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators-Reference-Cited by-同舟云学术

Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators

Published:1995-06-01 Issue:B Volume:117 Page:71-79
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Raghavan M.¹,Roth B.²

Affiliation:

1. Power Systems Research Department, GM Research and Development Center, Warren, MI 48090-9055

2. Department of Mechanical Engineering, Stanford University, Stanford, CA 94305

Abstract

Problems in mechanisms analysis and synthesis and robotics lead naturally to systems of polynomial equations. This paper reviews the state of the art in the solution of such systems of equations. Three well-known methods for solving systems of polynomial equations, viz., Dialytic Elimination, Polynomial Continuation, and Grobner bases are reviewed. The methods are illustrated by means of simple examples. We also review important kinematic analysis and synthesis problems and their solutions using these mathematical procedures.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/117/B/71/5677974/71_1.pdf

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