Abstract
In square isotropic plates, some of the degenerate mode pairs are split in frequency due to coupling between longitudinal and transverse strain (which might be called Poisson coupling), and the same splitting of degenerate modes may occur in rectangular orthotropic plates having a certain length/width ratio. We have studied this coupling in free plates of aluminum and spruce (quarter-cut and skew-cut) and determined Poisson's ratios from the frequency ratio of the (2,0 ± 0,2) modes (called the X and ring modes by Luthiers). The critical length/width ratio was found to be considerably greater (3.2) in the skew-cut spruce than in the quarter-cut spruce (2.1), due to the smaller cross-grain elastic modulus and Poisson ratio.
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