#7233. Synchronization via fractal-fractional differential operators on two-mass torsional vibration system consisting of motor and roller

August 2026publication date
Proposal available till 26-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Ocean Engineering;
Applied Mathematics;
Aerospace Engineering;
Mechanical Engineering;
Control and Systems Engineering;
Electrical and Electronic Engineering;
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Abstract:
Due to increasing demand of lightweight shafts from industries, the drive systems are crucially demanded for larger inertias of motors and load machines. The mathematical modeling of two-mass torsional vibration system consisting of motor and roller has been proposed via newly presented fractal-fractional differential operators. The dynamical model of the electromechanical coupling main drive system of rolling mill is based on total kinetic energy and potential energy on the basis of two degree-of-freedom. The fractal and fractional evolutionary differential equation containing nonlinearity have been investigated for the derivation of numerical schemes. Our results suggest that fractal-fractionalized model for electromechanical drive system of rolling mill has better attenuation performance and tracking behaviors in comparison with classical models.
Keywords:
Fractal and fractional operators, torsional vibration system, motor, roller

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