Method for Identification of Second-Order Link Parameters with Classical Dry (Coulomb) Friction for Analysis and Synthesis of Nonlinear Dynamic Objects and Control Systems

By computational experiments we obtained the real logarithmic amplitude-phase frequency characteristics of the first harmonic of the second-order link with classical dry (Coulomb) friction for the different variations of the dimensionless force of dry friction and the amplitude of the input monoharmonic effect. The study focuses on the proposed engineering method for frequency identification of second-order link parameters with classical dry (Coulomb) friction for the analysis and synthesis of nonlinear dynamic objects and control systems, and its approbation is performed as well. The study shows the obtained dependences of the phase delay of the first harmonic of the second-order link with classical dry (Coulomb) friction on the variation of the dimensionless force of dry friction and the amplitude of the input monoharmonic signal for several selected logarithmic scale divisions lying to the left and right along the frequency axis from the frequency at which the phase frequency response crosses the value -90°. The work also gives the dependence of the shift to the right along the frequency axis of the natural frequency of the second-order link with classical dry (Coulomb) friction relative to the frequency at which the phase frequency characteristic of the first harmonic of the link crosses the value -90°, on the variation of the dimensionless force of dry friction and amplitude of the input monoharmonic signal.

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