engleski

ANALYSIS OF TWO TIME-DELAYED SLIDING PENDULUMS

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.

Sliding pendulums ; Time delay ; Elastic cable ; Zipline

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