Results 221 to 230 of about 111,009 (290)

Timoshenko Beam Theory Is Not Always More Accurate Than Elementary Beam Theory

Journal of Applied Mechanics, 1977
A counterexample involving a homogeneous, elastically isotropic beam of narrow rectangular cross section supports the assertion in the title. Specifically, a class of two-dimensional displacement fields is considered that represent exact plane stress solutions for a built-in cantilevered beam subject to “reasonable” loads.
Nicholson, J. W., Simmonds, J. G.
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Geometrically nonlinear Euler–Bernoulli and Timoshenko micropolar beam theories

Acta Mechanica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Praneeth Nampally, J. N. Reddy
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Viscoelastic Timoshenko beam theory

Mechanics of Time-Dependent Materials, 2008
The concept of elastic Timoshenko shear coefficients is used as a guide for linear viscoelastic Euler-Bernoulli beams subjected to simultaneous bending and twisting. It is shown that the corresponding Timoshenko viscoelastic functions now depend not only on material properties and geometry as they do in elasticity, but also additionally on stresses and
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Intelligent beam structures: Timoshenko theory vs. Euler-Bernoulli theory

Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Control IEEE International Symposium on Computer-Aided Contro, 2002
In this paper, the derivation of the governing equations and boundary conditions of laminated beam smart structures are developed. Sensor and actuator layers are included in the beam so as to facilitate vibration suppression. Two mathematical models, namely the shear-deformable (Timoshenko) model and the shear-indeformable (Euler-Bernoulli) model, are ...
O.J. Aldraihem, R.C. Wetherhold, T. Singh   +2 more
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The Shear Coefficient in Timoshenko’s Beam Theory

Journal of Applied Mechanics, 1966
The equations of Timoshenko’s beam theory are derived by integration of the equations of three-dimensional elasticity theory. A new formula for the shear coefficient comes out of the derivation. Numerical values of the shear coefficient are presented and compared with values obtained by other writers.
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Timoshenko Beam Theory–Based Dynamic Analysis of Laterally Loaded Piles in Multilayered Viscoelastic Soil

Journal of engineering mechanics, 2018
A semianalytical method is developed to obtain the dynamic response of laterally loaded piles in a multilayered soil.
B. K. Gupta, D. Basu
semanticscholar   +1 more source

Experimental study of the Timoshenko beam theory predictions

Journal of Sound and Vibration, 2012
Abstract The theory of flexural vibrations proposed by Timoshenko almost 90 years ago has been the subject of several recent papers. In the Timoshenko beam theory a critical frequency f c is expected and for frequencies f larger than f c , some authors argue that a second spectrum exists.
A. Díaz-de-Anda, J. Flores, L. Gutiérrez, R.A. Méndez-Sánchez, G. Monsivais, A. Morales   +5 more
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On the frequency range of Timoshenko beam theory

Mechanics of Advanced Materials and Structures, 2018
This article concerns with the analysis of the frequency range within which Timoshenko’s model can be applied for the study of vibrating beams, possibly without incurring in large engineering appro...
Messina A., Reina G.
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Asymptotic Derivation of Shear Beam Theory from Timoshenko Theory

Journal of Engineering Mechanics, 2007
A systematic reduction of Timoshenko beam theory to shear beam theory is presented and compared to a parallel reduction to Euler–Bernoulli theory. The agreement between Timoshenko and shear theories is seen to improve as the ratio of Young’s modulus to shear modulus increases, as the mode number increases, and as the beam becomes fatter, which are the ...
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On asymptotically correct Timoshenko-like anisotropic beam theory

International Journal of Solids and Structures, 2000
The authors study transverse shear effects in anisotropic beams of arbitrary cross-section. A variational-asymptotic method is combined with Timoshenko-like formulation to develop a refined theory with simple boundary conditions. The problem is overdetermined but, by using the least squares minimization technique, one can obtain the best possible ...
Popescu, Bogdan, Hodges, Dewey H.
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