Analysis of two time-delayed sliding pendulums

Authors

  • Tea Rukavina University of Rijeka Faculty of Civil Engineering
  • Ivica Kožar University of Rijeka

Keywords:

sliding pendulums, time delay, elastic cable, zipline

Abstract

In this paper a model of two pendulums slidingalong an elastic cable is presented. There is a timedelay between them, so the problem has beendivided into two phases in which systems ofordinary differential equations are solved. In phaseone there is only one mass and the solution at theend gives the initial conditions for phase two. Inphase two, the second mass is added and a systemof six differential equations with six unknowns withinitial conditions is derived. The validation of themodel is shown in an example of a zip line structurein Croatia. Three cases are studied – whenresistance is introduced when pendulums are inantiphase and when the second mass reaches thefirst mass.

Author Biographies

Tea Rukavina, University of Rijeka Faculty of Civil Engineering

Faculty of Civil EngineeringDept. Computer Modeling

Ivica Kožar, University of Rijeka

Faculty of Civil EngineeringDept. Computer ModelingFull Professor

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Published

2017-01-31