Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration

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ŠTUBŇA, Igor ;TRNÍK, Anton .
Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 52, n.5, p. 317-322, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/correction-coefficients-for-calculating-the-young%c2%92s-modulus-from-the-resonant-flexural-vibration/>. Date accessed: 29 oct. 2020. 
doi:http://dx.doi.org/.
Štubňa, I., & Trník, A.
(2006).
Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration.
Strojniški vestnik - Journal of Mechanical Engineering, 52(5), 317-322.
doi:http://dx.doi.org/
@article{.,
	author = {Igor  Štubňa and Anton  Trník},
	title = {Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {52},
	number = {5},
	year = {2006},
	keywords = {flexural vibrations; resonant frequencies; Young’s modulus; calculations; },
	abstract = {A simple formula derived from the simplified differential equation of flexural vibration of a sample with a uniform cross-section does not give exact values for the Young’s modulus or the velocity of sound if the ratio of the length to the diameter (or the length to the thickness) of the sample is less than 20. The error can be eliminated by multiplying the measured resonant frequency or the calculated Young’s modulus by a correction coefficient. Some formulae for the correction coefficients as well as a new formula are presented and compared with the ASTM formulae.},
	issn = {0039-2480},	pages = {317-322},	doi = {},
	url = {https://www.sv-jme.eu/article/correction-coefficients-for-calculating-the-young%c2%92s-modulus-from-the-resonant-flexural-vibration/}
}
Štubňa, I.,Trník, A.
2006 August 52. Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 52:5
%A Štubňa, Igor 
%A Trník, Anton 
%D 2006
%T Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration
%B 2006
%9 flexural vibrations; resonant frequencies; Young’s modulus; calculations; 
%! Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration
%K flexural vibrations; resonant frequencies; Young’s modulus; calculations; 
%X A simple formula derived from the simplified differential equation of flexural vibration of a sample with a uniform cross-section does not give exact values for the Young’s modulus or the velocity of sound if the ratio of the length to the diameter (or the length to the thickness) of the sample is less than 20. The error can be eliminated by multiplying the measured resonant frequency or the calculated Young’s modulus by a correction coefficient. Some formulae for the correction coefficients as well as a new formula are presented and compared with the ASTM formulae.
%U https://www.sv-jme.eu/article/correction-coefficients-for-calculating-the-young%c2%92s-modulus-from-the-resonant-flexural-vibration/
%0 Journal Article
%R 
%& 317
%P 6
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 52
%N 5
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18
Štubňa, Igor, & Anton  Trník.
"Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration." Strojniški vestnik - Journal of Mechanical Engineering [Online], 52.5 (2006): 317-322. Web.  29 Oct. 2020
TY  - JOUR
AU  - Štubňa, Igor 
AU  - Trník, Anton 
PY  - 2006
TI  - Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - flexural vibrations; resonant frequencies; Young’s modulus; calculations; 
N2  - A simple formula derived from the simplified differential equation of flexural vibration of a sample with a uniform cross-section does not give exact values for the Young’s modulus or the velocity of sound if the ratio of the length to the diameter (or the length to the thickness) of the sample is less than 20. The error can be eliminated by multiplying the measured resonant frequency or the calculated Young’s modulus by a correction coefficient. Some formulae for the correction coefficients as well as a new formula are presented and compared with the ASTM formulae.
UR  - https://www.sv-jme.eu/article/correction-coefficients-for-calculating-the-young%c2%92s-modulus-from-the-resonant-flexural-vibration/
@article{{}{.},
	author = {Štubňa, I., Trník, A.},
	title = {Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {52},
	number = {5},
	year = {2006},
	doi = {},
	url = {https://www.sv-jme.eu/article/correction-coefficients-for-calculating-the-young%c2%92s-modulus-from-the-resonant-flexural-vibration/}
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TY  - JOUR
AU  - Štubňa, Igor 
AU  - Trník, Anton 
PY  - 2017/08/18
TI  - Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 52, No 5 (2006): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - flexural vibrations, resonant frequencies, Young’s modulus, calculations, 
N2  - A simple formula derived from the simplified differential equation of flexural vibration of a sample with a uniform cross-section does not give exact values for the Young’s modulus or the velocity of sound if the ratio of the length to the diameter (or the length to the thickness) of the sample is less than 20. The error can be eliminated by multiplying the measured resonant frequency or the calculated Young’s modulus by a correction coefficient. Some formulae for the correction coefficients as well as a new formula are presented and compared with the ASTM formulae.
UR  - https://www.sv-jme.eu/article/correction-coefficients-for-calculating-the-young%c2%92s-modulus-from-the-resonant-flexural-vibration/
Štubňa, Igor, AND Trník, Anton.
"Correction Coefficients for Calculating the Young’s Modulus from the Resonant Flexural Vibration" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 52 Number 5 (18 August 2017)

Authors

Affiliations

  • Constantine the Philosopher University, Department of Physics, Nitra, Slovakia
  • Constantine the Philosopher University, Department of Physics, Nitra, Slovakia

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 52(2006)5, 317-322

A simple formula derived from the simplified differential equation of flexural vibration of a sample with a uniform cross-section does not give exact values for the Young’s modulus or the velocity of sound if the ratio of the length to the diameter (or the length to the thickness) of the sample is less than 20. The error can be eliminated by multiplying the measured resonant frequency or the calculated Young’s modulus by a correction coefficient. Some formulae for the correction coefficients as well as a new formula are presented and compared with the ASTM formulae.

flexural vibrations; resonant frequencies; Young’s modulus; calculations;