Lagrange's equations with constraints in model applications from the field of textile mechanics

Abstract

In many problems from the field of textile engineering (e.g. fabric folding, motion of the sewing thread), it is necessary to investigate the motion of the objects in dynamic conditions, taking into consideration the influence of the forces of inertia and changing in the time boundary conditions. This article deals with the model analysis of the motion of the flat textile structure using Lagrange's equations with constraints. The motion of the objects is under the influence of the gravity force. Lagrange's equations have been used for discrete model of the structure. Numerical considerations presented in this article should give answer about practical usefulness of the Lagrange's equations for solving the dynamic problem. © The Author(s) 2011.