Engineering and Technology
| Open Access |
DOI: Analysis of Nonlinear Dynamic Models, Parametric Vibrations and Resonance States of Cam Mechanisms
Karimov Kamolkhan Abbasovich , Professor of Tashkent State Technical University named after Islam Karimov, doctor of technical sciences, Uzbekistan Khojibekov Tokhir Dilmuratovich , Independent Researcher of Tashkent State Technical University named after Islam Karimov, Uzbekistan Akhmedov Azamat Khaitovich , Professor of Tashkent State Technical University named after Islam Karimov, doctor of technical sciences, UzbekistanAbstract
This paper investigates nonlinear dynamic models of cam mechanisms used for cutting ball-rolling mill rolls, including the contact elasticity of higher kinematic pair elements, parametric vibrations, and resonance states. An elastic-dissipative model of the cam–follower system was developed, and Mathieu–Hill type differential equations were derived considering time-varying stiffness coefficients and parametric excitations. Dynamic coefficients, amplitude-frequency characteristics, resonance zones, and dynamic loads for sinusoidal, cosinusoidal, and constant-acceleration motion laws were analyzed using numerical simulation methods. Based on the obtained results, optimal operating ranges for the modernized RT117 screw-cutting lathe system were recommended.
Keywords
Cam mechanism, parametric vibrations, contact elasticity
References
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Copyright (c) 2026 Karimov Kamolkhan Abbasovich, Khojibekov Tokhir Dilmuratovich, Akhmedov Azamat Khaitovich
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