Analysis of two time-delayed sliding pendulums
Keywords:
sliding pendulums, time delay, elastic cable, ziplineAbstract
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.Downloads
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