On timoshenko beams of rectangular cross-section

Journal of Applied Mechanics, Transactions ASME

Volumn 71, Issue 3, 2004, Pages 359-367

  Hutchinson, James R ^a  

^a University of California Davis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDRICAL SHELLS; SHEAR COEFFICIENTS; SHEAR WAVE VELOCITIES;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; POISSON RATIO; STRESSES;

NATURAL FREQUENCIES;

EID: 12344270091     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1751186     Document Type: Article

References (14)

1. Hutchinson, J. R., 2001, "Shear Coefficients for Timoshenko Beam Theory," ASME J. Appl. Mech., 68, pp. 87-92.
2. Stephen, N. G., 2001, "Discussion: 'Shear Coefficients for Timoshenko Beam Theory' (Hutchinson, J. R., ASME J. Appl. Mech., 68, pp. 87-92)." ASME J. Appl. Mech., 68, pp. 959-961.
3. Stephen, N. G., 1980, "Timoshenko Shear Coefficient From a Beam Subjected to a Gravity Loading," ASME J. Appl. Mech., 47, pp. 87-92.
4. Hutchinson, J. R., and Zillmer, S. D., 1983, "Vibration of a Free Rectangular Parallelepiped," ASME J. Appl. Mech., 50, pp. 123-130.
5. Hutchinson, J. R., and Zillmer, S. D., 1986, "On the Transverse Vibration of Beams of Rectangular Cross-Section," ASME J. Appl. Mech., 53, pp. 39-44.
6. Armenàkas, A. E., Gazis, D. C., and Hermann, G., 1969, Free Vibrations of Circular Cylindrical Shells, Pergamon Press, Oxford, UK.
7. German, D. J., and Ding, Wei. 1996, "Accurate Free Vibration Analysis of the Completely Free Rectangular Mindlin Plate," J. Sound Vib., 189, pp. 341-353.
8. Flügge, W., 1962, Handbook of Engineering Mechanics, McGraw-Hill, New York, pp. 61-14-61-16.
9. Leissa, A. W., 1969, "Vibration of Plates," NASA SP-160.
10. Mindlin, R. D., Schacknow, A., and Deresiewicz, H., 1956, "Flexural Vibrations of Rectangular Plates," ASME J. Appl. Mech., 23, pp. 430-436.
11. Mindlin, R. D., 1951, "Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates," ASME J. Appl. Mech., 18, pp. 31-38.
12. Hutchinson, J. R., 1984, "Vibrations of Thick Free Circular Plates, Exact Versus Approximate Solutions," ASME J. Appl. Mech., 51, pp. 581-585.
13. Witrick, W. H., 1987, "Analytical, Three-Dimensional Elasticity Solutions to Some Plate Problems, and Some Observations on Mindlin's Plate Theory," Int. J. Solids Struct., 23, pp. 441-464.
14. Stephen, N. G., 1997. "Mindlin Plate Theory-Best Shear Coefficient and Higher Spectra Validity," J. Sound Vib., 202, pp. 539-553.