CALCULATION OF ELASTICITY MATERIAL CONSTANTS BY OWN VIBRATION FREQUENCY OF ROUND PLATE
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Abstract
The paper analyses existing methods for determination of elastic material properties and reveals perspectives for usage of resonant methods which make it possible to execute a non-contact and non-destructive control. As an example of a resonant method application a problem on determination of elastic material properties by own vibration frequency of a specimen in the form of a round plate is considered in the paper. Solution efficiency of the investigated problem using a gradient-search method is given in the paper.
About the Authors
V. T. MinchenyaD. A. Stepanenko
E. N. Yurchik
References
1. Quantitative elastic-property measurements at the nanoscale with atomic force acoustic microscopy / D. C. Hurley [et al.] // Advanced Engineering Materials. - 2005. - Vol. 7. - P. 713-718.
2. Alfano, M. A non-destructive technique for the elastic characterization of thin isotropic plates / M. Alfano, L. Pagnotta // NDT&E International. - 2007. - Vol. 40. - P. 112-120.
3. Pagnotta, L. Elastic characterization of isotropic plates of any shape via dynamic tests: Theoretical aspects and numerical simulations / L. Pagnotta, G. Stigliano // Mechanics Research Communications. - 2008. - Vol. 35. - P. 351-360.
4. França, D. R. All-optical measurement of in-plane and out-of-plane Young’s modulus and Poisson’s ratio in silicon wafers by means of vibration modes / D. R. França, A. Blouin // Measurement Science and Technology. - 2004. - Vol. 15. - P. 859-868.
5. Non-contact resonant ultrasound spectroscopy for elastic constants measurement / P. Sedlák [et al.] // 1st International Symposium on Laser Ultrasonics: Science, Technology and Applications. Montreal, 2008. - Mode of access : http://www.ndt.net article/laser-ut2008/papers/Sedlak%20LU2008.pdf
6. Noncontact modal excitation of small structures using ultrasound radiation force / T. M. Huber [et al.]. - Mode of access : http://physics.gac.edu/~Huber/Presentations/sem_2007_june/400_hub.pdf
7. Pagnotta, L. Elastic characterization of isotropic plates of any shape via dynamic tests: Practical aspects and experimental applications / L. Pagnotta, G. Stigliano // Mechanics Research Communications. - 2009. - Vol. 36. - P. 154-161.
8. Resonance ultrasound spectroscopy with laser-Doppler interferometry for studying elastic properties of thin films / N. Nakamura [et al.] // Ultrasonics. - 2004. - Vol. 42. - P. 491-494.
9. Determination of object resonances by vibro-acoustography and their associated modes / F. G. Mitri [et al.] // Ultrasonics. - 2004. - Vol. 42. - P. 537-543.
10. On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects / W. M. Visscher [et al.] // Journal of the Acoustical Society of America. - 1991. - Vol. 90. - P. 2154-2162.
11. http://www.mathworks.co.uk/matlabcentral/fileexchan-ge/11399
12. Guo, H. Die-level characterization of silicon-nitride membrane/silicon structures using resonant ultrasonic spectroscopy / H. Guo, A. Lal // Journal of Microelectromechanical Systems. - 2003. - Vol. 12. - P. 53-63.
13. Kitahara, M. Boundary integral equation methods in eigenvalue problems of elastodynamics and thin plates / M. Kitahara. - Amsterdam, Oxford, New York, Tokyo, 1985. - 281 p.
14. Babakov, I. M. Teoriya kolebanii / I. M. Babakov. - M., 1968. - 560 s.
Review
For citations:
Minchenya V.T., Stepanenko D.A., Yurchik E.N. CALCULATION OF ELASTICITY MATERIAL CONSTANTS BY OWN VIBRATION FREQUENCY OF ROUND PLATE. Science & Technique. 2009;(6):37-42. (In Russ.)
ISSN 2414-0392 (Online)