USE OF COMPUTER ALGEBRA SYSTEMS FOR SIMULATING THE ROPEWAYS DRIVES DYNAMICS
DOI:
https://doi.org/10.34185/1991-7848.itmm.2025.01.049Keywords:
ropeway; dynamics; mathematical modeling; MathCAD; computer algebra systemAbstract
The paper considers the principles of forming a mathematical model of the ropeway drive dynamics. For the research, a simplified approach to drawing up a dynamic system scheme was chosen, which consists in reducing the masses of individual drive subsystems to the drive pulley. This made it possible to present the mathematical model as a system of equations in the form of deformations of traction rope sections using the provisions of wave mechanics. To automate the drawing up of the system of equations and conduct dynamics research, a program developed by the author in the MathCAD computer algebra system was used. The application of the obtained results made it possible to further construct frequency diagrams of ropeways drives of various types and to specify the values of the cars speed, taking into account the need to prevent and limit resonance phenomena, the occurrence of which is dangerous for the operation of such vehicles.
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