The shear coefficient for quartz crystal of rectangular cross section in timoshenko's beam theory

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 43, Issue 3, 1996, Pages 434-440

  Kawashima, Hirofumi ^a  

^a SEIKO INSTRUMENTS INC   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; CRYSTALS; ELASTICITY; GEOMETRY; RESONATORS; STIFFNESS; STRAIN; TEMPERATURE;

CUT ANGLE; ELASTIC STIFFNESS CONSTANTS; ISOTROPIC MATERIAL; QUARTZ CRYSTAL; RECTANGULAR CROSS SECTION; SHEAR COEFFICIENT; TEMPERATURE COEFFICIENT; TIMOSHENKO BEAM THEORY;

PIEZOELECTRIC MATERIALS;

EID: 0030150087     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.489402     Document Type: Article

References (6)

1. S. P. Timoshenko, Vibration Problems in Engineering. New York: Van Nostrand, 1937.
2. G. R. Cowper, ''The shear coefficient in Timoshenko's beam theory," J. Appl. Mechanics, vol. 33, pp. 335-340, 1966.
3. R. D. Mindlin arid H. Deresiewicz, "Timoshenko's shear coefficient Tor flexural vibrations of beams," Dep. Civil Eng., Columbia Univ., NY, Tech. Rep. 10, ONR Project MR 064-388, 1953.
4. L. E. Goodman, "Discussion of R. A. Andersen, 'Flexural vibrations in uniform beams according to the Timoshenko theory,' " J. Appl. Mechanics, vol. 21, pp. 202-204, 1954.
5. A. E. H. Love, A Treatise on the Mathematical Theoiy of Elasticity, 4th ed. Cambridge: Cambridge Univ. Press, 1952.
6. 1. Koga, M. Aruga, and Y. Yostiinaka, "Theory of plane elastic waves in a piezoelectric crystalline medium and determination of the elastic and piezoelectric constants of quartz," Phys. Rev., vol. 109, pp. 1467-1473. 1958.