Mathematical model of the technological vibratory unit with electromagnetic excitation

Abstract

The mathematical model of the technological vibratory unit with electromagnetic excitation is considered to its features that are important for the dynamic design problems. The model is based on the differential equations of electrical balance and mechanical balance, taking into account the mobility degree of inertial masses with spring linkages. The vibratory unit vibration properties are analyzed concerning the power voltage and frequency coupling, interacting inertia masses mobility degree, spring linkages properties, magnetic core steel magnetizing characteristic non-linearity, leakage fluxes, electric, magnetic and mechanical energy losses. The research performed for dynamical design problem solution is distinguished by a novel approach to the estimation of the capability of changing vibration properties of the movable operating element of the technological vibratory unit with an additional mass attached to it. The model design technology based on the structural modelling method supported by Matlab Simulink is proposed. The research results can be useful for specialists in vibration engineering, machines and devices durability dynamics and vibroprotection.

Simulation Of The Electromechanical Device Response To Vibration Impact

“…A preliminary analysis of the system with the values of the parameters presented in Table 1 shows that the natural frequency of the mechanical subsystem is close to 40 Hz. Since the frequency response of the system is of interest, a bandwidth of 100 Hz (Neyman et al, 2020) with a resolution of 0.25 Hz was chosen to apply the fast Fourier transform. The experiment uses a fixed time step of 0.001 s, the simulation time of transient processes is 7 s. In the case of a harmonic "chirp" (sinusoidal action with a linearly increasing frequency), the simulation time is 20 s.…”

“…During the study, it is necessary to determine the possible combinations of parameters of the electromechanical system leading to stable states (Neyman et al, 2020).…”

Review of Linear Electric Motor Hammers—An Energy-Saving and Eco-Friendly Solution in Industry

“…The main efforts are directed at the simulation of hydraulic pressure distributors and working-cycle optimization (Gorodilov [38]). The multi-body mathematical models of the technological vibratory and impacting units with electromagnetic excitation are developed by Neiman et al [39,40]. Vibro-impact system dynamics under a Hertzian contact force and the influence of asymmetric electromagnetic actuators are analyzed by Herisanu et al [41] near the primary resonance.…”