Free vibrations of axially polarized piezoceramic hollow cylinders of finite length |
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Authors: | A Ya Grigorenko T L Efimova I A Loza |
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Institution: | 1.S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine,Kyiv,Ukraine;2.National University of Transport,Kyiv,Ukraine |
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Abstract: | The problem of the free axisymmetric vibrations of longitudinally polarized piezoceramic hollow cylinders is solved by a numerical
analytic method. The spline-collocation method with respect to the longitudinal coordinate is used to reduce the original
problem of electroelasticity to an eigenvalue boundary-value problem for ordinary differential equations with respect to the
radial coordinate. This problem is solved by the stable discrete-orthogonalization and incremental search methods. Numerical
results are presented and the natural frequencies of the cylinders are analyzed for a wide range of their geometric characteristics |
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