ИДЕНТИФИКАЦИЯ ДИНАМИЧЕСКОЙ СИСТЕМЫ С ЗОНОЙ НЕЧУВСТВИТЕЛЬНОСТИ УПРУГОГО ЭЛЕМЕНТА И СУХИМ ТРЕНИЕМ ПО ГОДОГРАФАМ

Abstract

The study objective is to increase the efficiency of identifying parameters of dynamic systems that have an elastic element with a dead zone and dry friction in their composition according to experimental data. The problem to which the paper is devoted is to develop an identification algorithm that allows defining the parameters of the frequency response function of a nonlinear dynamic system for all experimentally obtained points of the system frequency curve. The research methods are based on the theory of dynamical systems, in particular on harmonic linearization. The novelty of the work is in applying modules of modifying deviations of the curve points of the system model from the corresponding experimentally obtained system curve points as a measure of proximity for the system curves and the model of the sum of squares. The study result is an algorithm for identifying a nonlinear system, which is reduced to solving a system of equations linear to unknown parameters of the transfer function of the system model. Computing experiment showed that the errors in defining the values of the system parameters with a dead zone of an elastic element and a non-linearity of dry friction type are approximately equal to the measurement errors of the experimental readings of this system curve. The main conclusion of the study is that the developed algorithm should be used to solve practical problems of identifying nonlinear systems, which include an elastic element with a dead zone and dry friction.