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

Anissa Ali (1, 2) , Mireille Moinet (1, 2) , Philippe Serré (1, 2)

1 SUPMECA - SUPMECA - Institut supérieur de mécanique de Paris
2 QUARTZ - Laboratoire QUARTZ

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.

Domaines: Sciences de l'ingénieur [physics]; Mathématiques [math]

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⟩