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Displacement analysis of a Single-Bent leaf flexure under transverse load

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Abstract

We report a displacement analysis of a single-bent leaf flexure under transverse loading. Euler-Bernoulli, Timoshenko, and third-order beam theories, and the partially restrained warping effect, are considered. Castigliano’s theorem is used to derive theoretical expressions of deflection under transverse loading. A sensitivity analysis is performed, and all of the results are verified using finite element analysis (FEA). The results show that the theoretical equations with third-order beam theory and a warping restraint factor of K=0.5 are in a good agreement with the FEA results, within a maximum 4% error. These results indicate that the accuracy of the displacement analysis of the single-bent flexure under transverse loading depends on both the transverse shear deformation and the partially restrained warping effect.

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Authors and Affiliations

  1. School of Mechanical Engineering, Yeungnam University, 280, Daehak-ro, Gyeongsan-si, Gyeongsangbuk-do, 712-749, South Korea

    Nghia Huu Nguyen, Byoung-Duk Lim & Dong-Yeon Lee

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  1. Nghia Huu Nguyen
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  2. Byoung-Duk Lim
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  3. Dong-Yeon Lee
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Correspondence to Dong-Yeon Lee.

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Nguyen, N.H., Lim, BD. & Lee, DY. Displacement analysis of a Single-Bent leaf flexure under transverse load. Int. J. Precis. Eng. Manuf. 16, 749–754 (2015). https://doi.org/10.1007/s12541-015-0099-9

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  • DOI: https://doi.org/10.1007/s12541-015-0099-9

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