FAST FOURIER NONLINEAR VIBRATION ANALYSIS

We present an implementation of the multiharmonic balance method (MHB) where intensive use of the Fast Fourier Transform algorithm (FFT) is made at all stages of calculations. The MHB method is not modified in essence, but computations are organized to obtain a very attractive me thod that can be applied systematically on general nonlinear vibration problems. The resulting nonlinear algebraic problem is solved by a pa rticular implementation of a continuation method. Nonlinear vibration results are analyzed a posteriori by a Floquet method to determine the ir stability. The technique is applied on a series of problems of diff erent nature, demonstrating the robustness and flexibility of the appr oach.