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On the effect of shear coefficients in free vibration analysis of curved beams

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Abstract

We did a comparative study of shear coefficients in free vibration analysis of curved beams having circular and rectangular crosssections. Until recently, the shear coefficient k in Timoshenko beam theory has been studied by many researchers to include transverse shear deformation effect. To obtain more reliable numerical results, a higher-order hybrid-mixed curved beam element is formulated and programmed in MATLAB. The present numerical experiments show that k = 6(1 + v)2 / (7 + 12v + 4v 2) is the best expression both for circular and rectangular cross-sections in the flexural vibration of curved beams.

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Authors and Affiliations

  1. School of Mechanical and Automotive Engineering, Catholic University of Daegu, Gyeongsan-si, Gyeongbuk, Korea

    Jin-Gon Kim, Jae-Kon Lee & Hyun Joong Yoon

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  1. Jin-Gon Kim
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  2. Jae-Kon Lee
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  3. Hyun Joong Yoon
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Correspondence to Jin-Gon Kim.

Additional information

Recommended by Associate Editor Heung Soo Kim

Jin-Gon Kim received the B.S. degree in Mechanical Engineering from Seoul National University in 1991. His M.S. degree and Ph.D. are from Seoul National University in 1993 and 1998, respectively. Dr. Kim is currently a professor in the School of Mechanical and Automotive Engineering of Catholic University of Daegu in Korea. His research areas are computational mechanics, biomechanics and optimal design.

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Kim, JG., Lee, JK. & Yoon, H.J. On the effect of shear coefficients in free vibration analysis of curved beams. J Mech Sci Technol 28, 3181–3187 (2014). https://doi.org/10.1007/s12206-014-0727-9

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  • DOI: https://doi.org/10.1007/s12206-014-0727-9

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