1- University of Guilan , eazizpour@guilan.ac.ir
2- University of Guilan
Abstract: (2297 Views)
In this paper we study the dynamics of the 2D-motion of a particle of monolayer. First we consider the usual physical time component and the plan manifold R2, having the polar coordinates. Then a geometric approach to nonholonomic constrained mechanical systems is applied to a problem from the two dimensional geometric dynamics of the Langmuir-Blodgett monolayer. We consider a constraint submanifold of the 1-jet space J1(T, R2),corresponding to the given constraint condition in a monolayer space and construct the corresponding constrained mechanical system on the constraint submanifold. So the equation of motion defined on the constraint submanifold is presented.
Type of Study:
S |
Subject:
alg Received: 2017/09/19 | Revised: 2018/02/3 | Accepted: 2017/09/19 | Published: 2017/09/19 | ePublished: 2017/09/19