Моделирование механической колебательной системы с управляемым по ускорению фрикционным электромагнитным демпфером

Abstract

The operating capacity of a controlled by acceleration frictional electromagnetic damper is validated. A mathematical model of oscillator with controlled damper is resulting in the three ordinary differential equations of the first order with discontinuous second members. For the case of energy dissipation depending on the acceleration modulus, the simplified model is considered in the form of one equation of the second order with discontinuous coefficients. The exact solution of this equation is found. An approximate law of vibration attenuation is established. It is shown that information on the attenuation parameter is placed in the exponential function basis. A phenomenon of double non-stationary phase-frequency resonance is studied.