N.S.Gorodetskaya Once more on edge resonance |
Acoustic bulletin, Vol. 3 ¹ 4, (2000) |
| ÍOn the basis of method of superposition the analysis of features of an edge resonance is carried out for a half-strip with free edge at variation of Poisson's ratio. It is shown that with change of Poisson's ratio from 0 up to 0.5 the edge resonance frequency increases from 1.99 to 2.61. In going so, the quality factor sharply falls. Considering the first propagating wave as a superposition of SV- and P-waves we note that at the edge resonance frequency the SV-wave on side surfaces is propagating one, while P-wave is evancesent one. On frequency Ω2>2.2 practically for all Poisson's ratios there are integer numbers of SV-half-waves across the width of a half-strip. For intermediate Poisson's ratios, namely from 0.22 to 0.42, there is a range of frequencies, for which the SV-wave falls on a free end of half-strip at the angle exceeding critical one. In going so, there exist a propagating P-wave. In this case there also exists a frequency Ωe1 where side surfaces of a half-strip are free from stresses when accounting both SV- and P-waves. The edge resonance frequency lays between values Ω2=2.2 and Ωe1 for intermediate Poisson's ratios. |
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KEY WORDS: edge resonance, half-strip, Poisson's ratio, the critical angle |
| TEXT LANGUAGE: Russian |