An Algebraic Method to Compute the Mobility of Closed-Loop Overconstrained Mechanisms

Abstract : In mechanical engineering, the degree of freedom or mobility is a fundamental property of solid assemblies. To compute it, classical formulas fail when closed-loop overconstrained mechanisms are concerned. Another way to define the mobility is to consider the dimension of the algebraic variety representing the closure of the loop. The approach described here, consists in computing the conditions that ensure that an overconstrained mechanism is mobile.
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https://hal.archives-ouvertes.fr/hal-01591183
Contributor : Mireille Moinet <>
Submitted on : Thursday, September 21, 2017 - 8:44:22 AM
Last modification on : Wednesday, February 13, 2019 - 9:18:01 PM

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Anissa Ali, Mireille Moinet, Philippe Serré. An Algebraic Method to Compute the Mobility of Closed-Loop Overconstrained Mechanisms. Applications of Computer Algebra, 2017, ⟨10.1007/978-3-319-56932-1_1⟩. ⟨hal-01591183⟩

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