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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.80 No.6
- 발행연도
- 2021.12
- 수록면
- 657 - 668 (12page)
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초록· 키워드
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In this study, a relationship between the resonance frequency ratio and Poisson’s ratio was proposed that can be used to directly determine the elastic constants. Using this relationship, the frequency ratio between the 1st bending mode and 2nd bending mode for any rectangular Timoshenko beam can be directly estimated and used to determine the elastic constants efficiently. The exact solution of the Timoshenko beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The highest percent difference for the frequency ratio between the theoretical values and the estimated values for all the beam dimensions studied was less than 0.02%. The proposed equations were used to obtain the elastic constants of beams with different material properties and dimensions using the first two measured transverse bending frequencies. Results show that using the equations proposed in this study, the Young’s modulus and Poisson’s ratio of rectangular Timoshenko beams can be determined more efficiently and accurately than those obtained from industry standards such as ASTM E1876-15 without the need to test the torsional vibration.
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참고문헌 (25)
참고문헌 신청
Alfano, M. / 2007 / A non-destructive technique for the elastic characterization of thin isotropic plates / NDT E Int 40(2):112~120
Carneiro, V. H. / 2021 / Numerical inverse engineering as a route to determine the dynamic mechanical properties of metallic cellular solids / Mater. Sci. Eng. : A 800:140428
2019 / ASTM C09 Committee, Test Method for Fundamental Transverse, Longitudinal, and Torsional Resonant Frequencies of Concrete Specimens / ASTM International
2015 / ASTM E28 Committee, Test Method for Dynamic Youngs Modulus, Shear Modulus, and Poisson Ratio by Impulse Excitation of Vibration / ASTM International
Bosomworth, P. / 2010 / Improved frequency equations for calculating the young’s modulus of bars of rectangular or circular cross section from their flexural resonant frequencies / J. ASTM Int 7(8):1~15
Carneiro, V. H. / 2021 / Numerical inverse engineering as a route to determine the dynamic mechanical properties of metallic cellular solids / Mater. Sci. Eng. : A 800:140428
2019 / ASTM C09 Committee, Test Method for Fundamental Transverse, Longitudinal, and Torsional Resonant Frequencies of Concrete Specimens / ASTM International
2015 / ASTM E28 Committee, Test Method for Dynamic Youngs Modulus, Shear Modulus, and Poisson Ratio by Impulse Excitation of Vibration / ASTM International
Bosomworth, P. / 2010 / Improved frequency equations for calculating the young’s modulus of bars of rectangular or circular cross section from their flexural resonant frequencies / J. ASTM Int 7(8):1~15
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