Abstract

When spatially-dense mobility shapes are measured with laser techniques, it is often impracticable to use Experimental Modal Analysis to model the experimental data. To deal with this situation, a space-frequency regression method using Chebicheff polynomials and two-dimensional discrete Fourier series approximation is proposed in this paper. The proposed regressive approach was implemented and verified using a simple experimental example consisting of a freely-suspended rectangular aluminum plate. A reduced and smoothed model, which takes advantage of the sinusoidal spatial pattern of structural mobility shapes and the polynomial frequency domain patter of FRFs, is thus obtained. The reduced model can be economically stored, and, later, used to produce smoothed curves with any desired frequency and spatial resolutions.

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