SYMBOLIC COMPUTATION OF HARMONIC-BALANCE EQUATIONS

Algebraic expressions are derived which enable the harmonic balance eq uations to be written down directly in terms of the coefficients of a general nonlinear difference or differential equation model. The new e xpressions are particularly useful because they are not restricted to a specific waveform, but apply to the whole class of harmonically rela ted, phase independent, sinusoidal signals. The system frequency respo nse, in the form of a multi-input, amplitude dependent describing func tion, is therefore readily computed, as illustrated by means of an exa mple.