Commenced in January 2007
Paper Count: 31097
Thermoelastic Damping of Inextensional Hemispherical Shell
Abstract:In this work, thermoelastic damping effect on the hemi- spherical shells is investigated. The material is selected silicon, and heat conduction equation for thermal flow is solved to obtain the temperature profile in which bending approximation with inextensional assumption of the model. Using the temperature profile, eigen-value analysis is performed to get the natural frequencies of hemispherical shells. Effects of mode numbers, radii and radial thicknesses of the model on the natural frequencies are analyzed in detail. Furthermore, the quality factor (Q-factor) is defined, and discussed for the ring and hemispherical shell.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1330813Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1665
 C. Hwang, Some experiment on the vibration of a hemispherical shell, J. Applied Mechanics, Transactions of the ASME, pp.817-824, 1966.
 J, Chung and J.M. Lee, Vibration analysis of nearly axis-symmetric shell structure using a new finite ring element, Journal of Sound and Vibration, Vol.219(1), pp.35-50, 1999.
 H.Saunders and P.R.Paslan, Inextensional vibration of a sphere-cone shell combination, Journal of Acoustical Society of America, Vol. 31(8), pp.579- 583, 1959.
 Y.S.Lee, M.S.Yang,H.S.Kim and J.H.Kim, A study on the free vibration of the joined cylindrical-spherical shell structures, Computer and Structures, Vol.80, pp.2405-2414, 2002.
 J.Berthelot,M.Assarar,Y.Sefrani and A.E.Mahi, Damping analysis of composite materials and structures, Composite Structures, Vol.85, pp.189-204, 2008.
 Y.Sefrani and J.Berthelot, Temperature effect on the damping properties of unidirectional glass fiber composites. Composites: Part B, Vol. 37, pp.346-355, 2005.
 N.Ganesan and R.Kadoli, Studies on linear thermoelastic buckling and free vibration analysis of geometrically perfect hemispherical shells with cut-out, Journal of Sound and Vibration, Vol.277, pp.855-879,2004.
 Clarence Zener, Internal friction in solids: . Theory of internal friction in reeds, Physical review, Vol. 52, pp. 230-235, 1937.
 R. Lifshitz, M. L. Roukes, Thermoelastic damping in micro- and nano- mechanical systems, Physical Review B, Vol. 61 (8), pp. 5600-5609, 2000.
 A. Duwel, M. Weinstein, J. Gorman, J. Borenstein, P. Ward, Quality factors of MEMS gyros and the role of thermoelastic damping, Institute of Electrical and Electronics Engineers, pp. 214-219, 2002.
 Z. F. Khisaeva, M. Ostoja-Starzewski, Thermoelastic damping in nano- mechanical resonators with finite wave speeds, Journal of Thermal Str- esses, Vol. 29, pp. 201-216, 2006.
 S. J. Wong, C. H. J. Fox, S. McWilliam, C. P. Fell, R. Eley, A preliminary investigation of thermo-elastic damping in silicon rings, Journal of micro- mechanics and microengineering, Vol. 14, pp. S108-S113, 2004.
 Y. B. Yi, Geometric effects on thermoelastic damping in MEMS resonators, Journal of Sound and Vibration, Vol. 309 pp. 588-599, 2008
 Ali H. Nayfeh, Mohammad I Younis, Modeling and simulations of thermoelastic damping in microplates, Journal of micromechanics and microengineering, Vol. 14, pp. 1711-1717, 2004
 Pin Lu, H. P. Lee, C. Lu, H. B. Chen, Thermoelastic damping in cylindrical shells with application to tubular oscillator structures, International Journal of Mechanical Sciences, Vol. 50, pp. 501-512, 2008
 Werner Soedel, Vibrations of Shell and Plates, 3rd ed. New York: Marcel Dekker In. 2004.
 R.D.Blevins, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold Company, 1979.