20 Natural Frequencies of Layered Beams Using a Continuous Variation Model 197 Fig. 20.12 First mode of clamp-clamp square two-cell beam via FEM Fig. 20.13 First mode of pin-pin square non-uniform two-cell beam via FEM The following cases were examined: two-cell beams (uniform and non-uniform), a three-cell beam (non-uniform) and a beam with a sinusoidal profile. Accuracy was assessed by comparison with results obtained using a Rayleigh-Ritz method and a commercial finite element code. For uniform cases excellent agreement is seen. For non-uniform cases with smooth profile variation, agreement is also very good.
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