Various signal processing techniques are introduced into the structural dynamics literature, notably higher-order spectra for steady-state response and wavelet transforms for transient response of systems. The structural behavior of the buckled beam, modeled by the one-mode Galerkin approximation is examined to demonstrate the utility of the techniques. Higher-order spectra illuminate nonlinear energy coupling mechanisms in the frequency domain for the steady state response. Wavelet transforms show the development of the frequency spectrum in the transient portion of the response.

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