Analysis of two time-delayed sliding pendulums

Tea Rukavina, Ivica Kožar

Abstract


In this paper a model of two pendulums sliding
along an elastic cable is presented. There is a time
delay between them, so the problem has been
divided into two phases in which systems of
ordinary differential equations are solved. In phase
one there is only one mass and the solution at the
end gives the initial conditions for phase two. In
phase two, the second mass is added and a system
of six differential equations with six unknowns with
initial conditions is derived. The validation of the
model is shown in an example of a zip line structure
in Croatia. Three cases are studied – when
resistance is introduced when pendulums are in
antiphase and when the second mass reaches the
first mass.


Keywords


sliding pendulums; time delay; elastic cable; zipline

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ISSN 1330-9587 (Print), ISSN 1849-0433 (Online)

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