On the comparison of Timoshenko and shear models in beam dynamics

Journal of Engineering Mechanics

Volumn 132, Issue 10, 2006, Pages 1141-1145

  Challamel, Noël ^a  

^a LGCGM   (France)

Author keywords

Beams; Comparative studies; Dynamic models; Shear waves; Structural dynamics

Indexed keywords

ASYMPTOTIC STABILITY; BEAMS AND GIRDERS; BENDING STRENGTH; DYNAMIC RESPONSE; MATHEMATICAL MODELS; SHEAR STRESS; SHEAR WAVES; STIFFNESS;

DYNAMIC ANALYSIS; SHEAR BEAM MODEL; STRUCTURAL DYNAMICS; TIMOSHENKO BEAM MODEL;

STRUCTURAL ANALYSIS;

ASYMPTOTIC STABILITY; BEAMS AND GIRDERS; BENDING STRENGTH; DYNAMIC RESPONSE; MATHEMATICAL MODELS; SHEAR STRESS; SHEAR WAVES; STIFFNESS; STRUCTURAL ANALYSIS;

DYNAMIC RESPONSE; S-WAVE; SHEAR STRENGTH; STRUCTURAL ANALYSIS;

EID: 33748766089     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2006)132:10(1141)     Document Type: Article

References (16)

1. Abbas, B. A. H., and Thomas, J. (1977). "The secondary frequency spectrum of Timoshenko beams." J. Sound Vib.JSVIAG0022-460X, 51(1), 123-137.
2. Aristizabal-Ochoa, J. D. (2004). "Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams." J. Eng. Mech.JENMDT0733-939910.1061/ (ASCE)0733-9399(2004)130:10(1151), 130(10), 1151-1159.
3. Boutin, C., and Hans, S. (2003). "Homogenization of periodic discrete medium: Application to dynamics of framed structures." Comput. Geotech.ZZZZZZ0266-3524, 30, 303-320.
4. Bush, A. W. (1992). Perturbation methods for engineers and scientists, CRC Press, London.
5. Cheng, F. Y. (1970). "Vibrations of Timoshenko beams and frameworks." J. Struct. Div. ASCEJSDEAG0044-8001, ASCE, 96(3), 551-571.
6. Clough, R. W., and Penzien, J. (1975). Dynamics of structures, McGraw-Hill, New York.
7. Cowper, G. R. (1966). "The shear coefficients in Timoshenko's beam theory." J. Appl. Mech.JAMCAV0021-8936, 33, 335-340.
8. Geist, B., and McLaughlin, J. R. (1997). "Double eigenvalues for the uniform Timoshenko beam." Appl. Math. Lett.AMLEEL0893-965910.1016/S0893-9659(97)00048-7, 10(3), 129-134.
9. Huang, T. C. (1961). "The effect of rotary inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions." J. Appl. Mech.JAMCAV0021-8936, 28, 579-584.
10. Karnovsky, I. A., and Lebed, O. I. (2001). Formulas for structural dynamics: Tables, graphs, and solutions, McGraw-Hill, New York.
11. Kausel, E. (2002). "Nonclassical modes of unrestrained shear beams." J. Eng. Mech.JENMDT0733-939910.1061/ (ASCE)0733-9399(2002)128:6(663), 128(6), 663-667.
12. Timoshenko, S. P. (1921). "On the correction for shear of the differential equation for transverse vibrations of prismatic bars." Philos. Mag.PHMAA40031-8086, 41, 744-746.
13. Timoshenko, S. P. (1922). "On the transverse vibration of bars with uniform cross-section." Philos. Mag.PHMAA40031-8086, 43, 125-131.
14. Volovoi, V. V., Hodges, D. H., Berdichevsky, V. L., and Sutyrin, V. (1998). Dynamic dispersion curves for non-homogeneous, anisotropic beams with cross sections of arbitrary geometry, J. Sound Vib.JSVIAG0022-460X10.1006/jsvi.1998.1682, 215(5), 1101-1120.
15. Yu, W., and Hodges, D. H. (2004). "Elasticity solutions versus asymptotic sectional analysis of homogeneous, isotropic, prismatic beams." J. Appl. Mech.JAMCAV0021-893610.1115/1.1640367, 71(1), 15-23.
16. Yu, W., and Hodges, D. H. (2005). "Generalized Timoshenko theory of the variational asymptotic beam sectional analysis." J. Am. Helicopter Soc.JHESAK0002-8711, 50(1), 46-55.