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A theory for the longitudinal vibrations of anisotropic elastic bars based on the Rayleigh-Bishop model

Ecsedi, István and Baksa, Attila (2019) A theory for the longitudinal vibrations of anisotropic elastic bars based on the Rayleigh-Bishop model. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 14 (1-2). pp. 25-39. ISSN 1586-2070

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Abstract

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 Hamiltons 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.

Item Type: Article
Uncontrolled Keywords: longitudinal vibrations, bar, anisotropic, Rayleigh-Bishop theory
Subjects: T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 10 Feb 2026 09:03
Last Modified: 10 Feb 2026 09:03
URI: https://real.mtak.hu/id/eprint/233632

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