V.V.Meleshko, N.S.Yakimenko, A.F.Ulitko A resonance method for determining elastic constants of finite isotropic cylinders |
Acoustic bulletin, Vol. 11 ¹ 3, (2008) |
| An experimental-theoretical method is proposed for determining the elastic constants of isotropic homogeneous cylindrical samples with arbitrary length L to diameter D ratio. The superposition method is used to obtain natural frequencies of the cylinder's axisymmetric vibration. The study is focused on the cylinders which diameter and length are the values of similar order, so that the shear modulus and Poisson ratio may be calculated simultaneously for them. For L/D=1, the elastic constants of material are derived from the ratio of two lowest natural frequencies. At L/D=0.85314, the exact solution (the Chree-Lamb mode) exists. In this case the third natural frequency should be also involved in consideration. A good agreement between the numerical and measured data has been observed. |
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KEY WORDS: elastic cylinder, the Poisson ration, natural frequency, a superposition method, the Chree-Lamb mode |
| TEXT LANGUAGE: Russian |