APPLICATION OF THE RIGID FINITE ELEMENT METHOD TO MODELLING ROPES

Authors

  • HENRYK KAMINSKI INSTITUTE OF APPLIED MECHANICS POZNAN UNIVERSITY OF TECHNOLOGY POLAND
  • PAWEL FRITZKOWSKI INSTITUTE OF APPLIED MECHANICS POZNAN UNIVERSITY OF TECHNOLOGY POLAND

Keywords:

RIGID FINITE ELEMENT METHOD, ROPES, MODELLING

Abstract

TWO-DIMENSIONAL MOTION OF A ROPE FIXED AT ONE END IS CONSIDERED. THE RIGID FINITE ELEMENT METHOD (RFEM) IS REVIEWED AND APPLIED TO OBTAIN A MODEL OF THE ROPE, INCLUDING ITS ELASTIC AND DISSIPATIVE PROPERTIES.
EQUATIONS OF MOTION ARE DERIVED WITHOUT THE SMALL DISPLACEMENT ASSUMPTION, USING THE LAGRANGE EQUATIONS. THE RESULTING MODEL IS COMPARED TO ANOTHER ONE, BEING DERIVED WITHIN THE FRAMEWORK OF STANDARD ANALYTICAL MECHANICS METHODS AND THE LAGRANGE FORMALISM. ADVANTAGES OF THE RFE APPROACH ARE DISCUSSED FROM A COMPUTATIONAL POINT OF VIEW. THE PRESENTED, ALTERNATIVE MODEL CAN BE A BASIS FOR EFFICIENT NUMERICAL SIMULATIONS, WHICH SEEM TO BE USEFUL IN FURTHER, COMPARATIVE STUDIES OF THE ROPE DYNAMICS.

Downloads

Published

2012-11-22

Issue

Vol. 10 No. 1 (2013)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

 

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).