On the Comparison of Timoshenko and Shear Models in Beam Dynamics

作者: Noël Challamel

DOI: 10.1061/(ASCE)0733-9399(2006)132:10(1141)

关键词: Beam (structure)Pure bendingEngineeringBending stiffnessShear wavesShear modulusTimoshenko beam theorySimple shearMechanicsStructural engineeringShear and moment diagram

摘要: The classical Timoshenko beam model and the shear are often used to building behavior both for stability or dynamic analysis. This technical note questions theoretical relationship between models large values of bending stiffness parameter. simply supported is analytically studied models. Asymptotic solutions obtained In general case, it proven that cannot be deduced from model, by considering only achieved specific geometrical parameter in present example. As a conclusion, capability approximate firmly dependent on material characteristics section boundary conditions.

参考文章(16)
Igor Alekseevich Karnovsky, Olga I. Lebed, Formulas for Structural Dynamics: Tables, Graphs and Solutions ,(2000)
B. Geist, J.R. McLaughlin, Double eigenvalues for the uniform Timoshenko beam Applied Mathematics Letters. ,vol. 10, pp. 129- 134 ,(1997) , 10.1016/S0893-9659(97)00048-7
V.V. Volovoi, D.H. Hodges, V.L. Berdichevsky, V.G. Sutyrin, Dynamic Dispersion Curves for Non-Homogeneous Anisotropic Beams with Cross-Sections of Arbitrary Geometry Journal of Sound and Vibration. ,vol. 215, pp. 1101- 1120 ,(1998) , 10.1006/JSVI.1998.1682
Joseph Penzien, D. S. Griffin, Ray W. Clough, Dynamics Of Structures ,(1975)
Eduardo Kausel, Nonclassical Modes of Unrestrained Shear Beams Journal of Engineering Mechanics. ,vol. 128, pp. 663- 667 ,(2002) , 10.1061/(ASCE)0733-9399(2002)128:6(663)
G. R. Cowper, The Shear Coefficient in Timoshenko’s Beam Theory Journal of Applied Mechanics. ,vol. 33, pp. 335- 340 ,(1966) , 10.1115/1.3625046
Stephan P Timoshenko, None, X. On the transverse vibrations of bars of uniform cross-section Philosophical Magazine Series 1. ,vol. 43, pp. 125- 131 ,(1922) , 10.1080/14786442208633855
B.A.H. Abbas, J. Thomas, The second frequency spectrum of timoshenko beams Journal of Sound and Vibration. ,vol. 51, pp. 123- 137 ,(1977) , 10.1016/S0022-460X(77)80118-1