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Mathematical modeling of hysteresis type elastic dissipative characteristic plate protected from vibration

Mirziyod MirsaidovInstitute of Mechanics and Seismic Stability of Structures of the Academy of Sciences of the Republic of Uzbekistan, 33 Durmon str., 100125, Tashkent, UzbekistanOlimjon DusmatovSamarkand State University, 15 University blv., 140104, Samarkand, UzbekistanMuradjon KhodjabekovSamarkand State Architectural and Civil Engineering Institute, 70 Lolazor str., 140147, Samarkand, Uzbekistan
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Abstract

This work is devoted to the creation of a mathematical model of the transverse vibrations of a plate and a liquid section dynamic absorber. Mathematical model was developed using bond graph methodology to estimate the transverse vibrations of hysteresis type elastic dissipative characteristic plate in conjunction with liquid section dynamic absorber. The reliability of the mathematical model is demonstrated by the origin of several specific mathematical models from a mathematical model developed in special cases. The mathematical model demonstrates the ability to estimate dynamics of transverse vibrations of plate protected from vibration and to determine the optimal parameters of mechanical system.

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