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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2006, 11(1), 1-10;

In-Plane Vibrations of Circular Curved Beams with a Transverse Open Crack

Department of Mechanical Engineering, University of Gaziantep, 27310, Gaziantep, Turkey
Authors to whom correspondence should be addressed.
Published: 1 April 2006
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In this study, the in plane vibrations of cracked circular curved beams is investigated. The beam is an Euler-Bernoulli beam. Only bending and extension effects are included. The curvature is in a single plane. In plane vibrations is analyzed using FEM. In the analysis, elongation, bending and rotary inertia effects are included. Four degrees of freedom for in-plane vibrations is assumed. Natural frequencies of the beam with a crack in different locations and depths are calculated using FEM. Comparisons are made for different angles.
Keywords: Curved beam; crack; vibration Curved beam; crack; vibration
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Öz, H.R.; Daş, M.T. In-Plane Vibrations of Circular Curved Beams with a Transverse Open Crack. Math. Comput. Appl. 2006, 11, 1-10.

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