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

Mirziyod Mirsaidov, Olimjon Dusmatov, Muradjon Khodjabekov

2022AIP conference proceedings10 citationsDOI

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.

Topics & Concepts

VibrationDissipative systemMathematical modelBond graphHysteresisTransverse planeMechanicsWork (physics)Structural engineeringPhysicsEngineeringMathematicsMechanical engineeringAcousticsCombinatoricsQuantum mechanicsVibration Control and Rheological FluidsVibration and Dynamic AnalysisMagnetic Bearings and Levitation Dynamics
Mathematical modeling of hysteresis type elastic dissipative characteristic plate protected from vibration | Litcius