Double pendulum contact problem
Files
Date issued
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of West Bohemia
Abstract
The work concerns contact problems focused on biomechanical systems modelled by a multibody approach. The
example is modelling of impact between a body and an infrastructure. The paper firstly presents algorithm for
minimum distance calculation. An analytical approach using a tangential plain perpendicular to an initial one is
applied. Contact force generated during impact is compared by three different continuous force models, namely
the Hertz’s model, the spring-dashpot model and the non-linear damping model. In order to identify contact
parameters of these particular models, the method of numerical optimization is used. Purpose of this method is to
find the most corresponding results of numerical simulation to the original experiment. Numerical optimization
principle is put upon a bouncing ball example for the purpose of evaluation of desirable contact force parameters.
The contact modelling is applied to a double pendulum problem. The equation of motion of the double pendulum
system is derived using Lagrange equation of the second kind with multipliers, respecting the contact phenomena.
Applications in biomechanical research are hinted at arm gravity motion and a double pendulum impact example.
Description
Subject(s)
biomechanické systémy, numerické modelování, kontaktní síla, dvojkyvadlo
Citation
Applied and Computational Mechanics. 2014, vol. 8, no. 1, p. 115-128.