Kinematic simulation of planar and spatial mechanisms using a polynomial constraints solver

Michael Barton; Nadav Shragai; Gershon Elber

doi:10.3722/cadaps.2009.115-123

Kinematic simulation of planar and spatial mechanisms using a polynomial constraints solver

Michael Barton^*, Nadav Shragai, Gershon Elber

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The connection between kinematics and mechanisms to algebraic constraints is well known. This work presents a general kinematics simulator that allows end users to define planar and/or spatial arrangements, even along freeform curves and surfaces. The mechanical arrangement is then converted into a set of algebraic constraints and the motion of the arrangements is computed with the aid of a multivariate polynomial constraint solver.

Original language	English (US)
Pages (from-to)	115-123
Number of pages	9
Journal	Computer-Aided Design and Applications
Volume	6
Issue number	1
DOIs	https://doi.org/10.3722/cadaps.2009.115-123
State	Published - 2009
Externally published	Yes

Bibliographical note

Funding Information:
This research was partially supported in part at the Technion by a fellowship from the Foundation and in part by the Israel Science Foundation (grant No.346/07).

Keywords

2D and 3D mechanisms
Freeform shapes
Splines

ASJC Scopus subject areas

Computational Mechanics
Computer Graphics and Computer-Aided Design
Computational Mathematics

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10.3722/cadaps.2009.115-123

Cite this

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abstract = "The connection between kinematics and mechanisms to algebraic constraints is well known. This work presents a general kinematics simulator that allows end users to define planar and/or spatial arrangements, even along freeform curves and surfaces. The mechanical arrangement is then converted into a set of algebraic constraints and the motion of the arrangements is computed with the aid of a multivariate polynomial constraint solver.",

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author = "Michael Barton and Nadav Shragai and Gershon Elber",

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AU - Elber, Gershon

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PY - 2009

Y1 - 2009

N2 - The connection between kinematics and mechanisms to algebraic constraints is well known. This work presents a general kinematics simulator that allows end users to define planar and/or spatial arrangements, even along freeform curves and surfaces. The mechanical arrangement is then converted into a set of algebraic constraints and the motion of the arrangements is computed with the aid of a multivariate polynomial constraint solver.

AB - The connection between kinematics and mechanisms to algebraic constraints is well known. This work presents a general kinematics simulator that allows end users to define planar and/or spatial arrangements, even along freeform curves and surfaces. The mechanical arrangement is then converted into a set of algebraic constraints and the motion of the arrangements is computed with the aid of a multivariate polynomial constraint solver.

KW - 2D and 3D mechanisms

KW - Freeform shapes

KW - Splines

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Kinematic simulation of planar and spatial mechanisms using a polynomial constraints solver

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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