Development and research of linearly parametric discrete model of amplitude-frequency characteristic of mechanical system with linearly viscous friction

Abstract

We consider the construction of linearly parametric discrete model in form of stochastic difference equation which describes the sequence of measurements of amplitude-frequency characteristic of dissipative system with linearly viscous friction. The numerical iterative method of mean-quadratic estimation of coefficients of stochastic difference equation is suggested. The comparative analysis of introduced algorithm of calculation of system dissipative characteristic with known method of resonance curve is made.