@article{nelson_universal_1971,
	title = {A universal dispersion curve for flexural wave propagation in plates and bars},
	volume = {18},
	issn = {0022-460X},
	url = {http://www.sciencedirect.com/science/article/pii/0022460X7190633X},
	doi = {10.1016/0022-460X(71)90633-X},
	abstract = {If the velocity of steady-state sinusoidal flexural wave propagation in plates and bars is expressed as a fraction of the surface (Rayleigh) wave velocity in a semi-infinite medium of the same material, the number of parameters needed to define the dispersion curve is reduced to one, the Poisson's ratio of the material. Numerical data exists for one value of Poisson's ratio, but a method is proposed for estimating the sensitivity of the curves to variations in the Poisson's ratio.

It is shown that for commonly used materials (Poisson's ratio between 0·25 and 0·35) a single normalized curve will generally suffice for plates. A similar single curve for bars with thickness/width ratio from 1 to 0125 is shown to differ only slightly from the curve for plates and it is suggested that, when material constants are not accurately known, a single compromise curve might be adopted for both bars and plates. The use of such a curve would in any case be preferable to the use of formulae based on thin plate or bar approximations.},
	number = {1},
	urldate = {2015-07-10TZ},
	journal = {Journal of Sound and Vibration},
	author = {Nelson, H. M.},
	month = sep,
	year = {1971},
	pages = {93--100}
}

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