Derivation of mathematical model of mechanism for drive of transport means additional device
2024
Dizo, Jan | Lovska, Alyona | Blatnicky, Miroslav | Ishchuk, Vadym | Molnar, Denis
Simulations and computation are widely used in analysing and investigation of operational properties of mechanisms. Such mechanisms can be placed on transport means and they usually serve to drive additional devices. Additional devices are inseparable part of lorries, buses as well as railway vehicles, such as locomotives with independent traction. These additional devices serve for drive of compressors or other similar devices. The article is aimed at derivation of a mathematical model of a drive mechanism for a drive of an additional device of a vehicle. It is a drive mechanism, which includes several wheels and a belt. There are derived equations of motions of a drive mechanism with a rigid belt and with a flexible belt. The presented mathematical models are derived by means of the Lagrange’s equations of the second kind method. After finding the required energies, the method of the reduction of mass and force quantities to the chosen part is applied. In this case, it is reduced to the drive shaft of the considered drive mechanism. The presented mechanism with the rigid belt is described by means of one equation of motion and with the flexible belt with two equations of motion. These equations of motion are solved by means of the Matlab software. The last part of the article includes illustrations of the results in a form of graphical outputs. The presented research and the solved mechanism are a basis of creation of a multibody model. It was proven that the flexibility of the belt leads to relative deflections of the drive and driven part of the mechanism.
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Editeur Latvia University of Life Sciences and Technologies
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