Nonholonomic kinematic constraints in elasticity
نویسنده
چکیده
A geometrically exact model of a Cosserat rod with nonholonomic constraints is outlined. The constraint forces are derived from the framework of nonholonomic mechanics by using arguments from Cauchy analysis, and a thorough discussion is given concerning the nature of these constraints. By making an additional assumption on the magnitude of the deflections, a simplified model similar to the EulerBernoulli rod is obtained. For the study of the latter, a simple geometric integration scheme is proposed. Submitted to: J. Phys. A: Math. Gen. AMS classification scheme numbers: 70S05, 70F25, 58A20, 74A05 ‡ Research Assistant of the Research Foundation – Flanders (FWO-Vlaanderen). Nonholonomic kinematic constraints in elasticity 2
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