Frequency response investigations of multi-input multi-output nonlinear systems using automated symbolic harmonic balance method

Abstract

The frequency response characteristics of MIMO systems are investigated by using harmonic balance equations. For this purpose, the algorithm for the automatic generation of harmonic balance equations is extended to include MIMO systems. Then the method is applied to obtain the frequency response of an example model having two-input and two-output. Both the frequency response and its harmonics are validated by numerical solutions. The effect of input amplitude variations and phase differences of inputs on the frequency response are investigated. Direct computation of the resonance parameters depending on input amplitude and phase variations are also obtained for the example system.