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Displacement Analysis of a Single-Bent Leaf Flexure under Transverse Load
Nghia Huu Nguyen,임병덕,이동연 한국정밀공학회 2015 International Journal of Precision Engineering and Vol. No.
We report a displacement analysis of a single-bent leaf flexure under transverse loading. Euler-Bernoulli, Timoshenko, and third-orderbeam theories, and the partially restrained warping effect, are considered. Castigliano’s theorem is used to derive theoreticalexpressions of deflection under transverse loading. A sensitivity analysis is performed, and all of the results are verified using finiteelement analysis (FEA). The results show that the theoretical equations with third-order beam theory and a warping restraint factorof K=0.5 are in a good agreement with the FEA results, within a maximum 4% error. These results indicate that the accuracy of thedisplacement analysis of the single-bent flexure under transverse loading depends on both the transverse shear deformation and thepartially restrained warping effect.
Bending analysis of a single leaf flexure using higher-order beam theory
Nguyen, Nghia Huu,Lee, Dong-Yeon Techno-Press 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.53 No.4
We apply higher-order beam theory to analyze the deflections and stresses of a cantilevered single leaf flexure in bending. Our equations include shear deformation and the warping effect in bending. The results are compared with Euler-Bernoulli and Timoshenko beam theory, and are verified by finite element analysis (FEA). The results show that the higher-order beam theory is in a good agreement with the FEA results, with errors of less than 10%. These results indicate that the analysis of the deflections and stresses of a single leaf flexure should consider the shear and warping effects in bending to ensure high precision mechanism design.
Bending analysis of a single leaf flexure using higher-order beam theory
Nghia Huu Nguyen,이동연 국제구조공학회 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.53 No.4
We apply higher-order beam theory to analyze the deflections and stresses of a cantileveredsingle leaf flexure in bending. Our equations include shear deformation and the warping effect in bending. The results are compared with Euler-Bernoulli and Timoshenko beam theory, and are verified by finiteelement analysis (FEA). The results show that the higher-order beam theory is in a good agreement with theFEA results, with errors of less than 10%. These results indicate that the analysis of the deflections andstresses of a single leaf flexure should consider the shear and warping effects in bending to ensure highprecision mechanism design.