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A Rayleigh-Bishop type theory of the longitudinal vibrations is developed for anisotropic bars. The equation of motion and the associated boundary conditions are derived by the use of Hamilton's principle. For an orthotropic bar the dependence of the eigenfrequencies from the position of the material coordinate system is analyzed. The numerical results obtained by the application of approximate analytical solution for the eigenfrequencies are compared with a FEM solution.
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Ecsedi et al. (2019) studied this question.
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