Harmonic Balance Theory
Harmonic balance differs from traditional transient analysis in two fundamental ways. These differences allow harmonic balance to compute periodic and quasiperiodic solutions directly and in certain circumstances give the method significant advantages in terms of accuracy and efficiency. Transient analysis, which uses standard numeric integration, constructs a solution as a collection of time samples with an implied interpolating function. Typically the interpolating function is a low order polynomial. However, polynomials fit sinusoids poorly, and so many points are needed to approximate sinusoidal solutions accurately.
KeywordsFourier Series Discrete Fourier Transform Relaxation Method Splitting Method Quasiperiodic Solution
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