Results 201 to 210 of about 818,508 (239)
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A theory for transverse vibrations of the timoshenko beam
Journal of Applied Mathematics and Mechanics, 1993Abstract A second-order variational formalism is presented for deriving the Timoshenko equation and boundary conditions consistent with it. Properties of the second high-frequency mode of vibrations predicted in the Timoshenko theory are investigated.
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An Analytical Model for Beam Flexure Modules Based on the Timoshenko Beam Theory
Volume 5A: 41st Mechanisms and Robotics Conference, 2017Short beams are the key building blocks in many compliant mechanisms. Hence, deriving a simple yet accurate model of their elastokinematics is an important issue. Since the Euler-Bernoulli beam theory fails to accurately model these beams, we use the Timoshenko beam theory to derive our new analytical framework in order to model the elastokinematics of
Kahrobaiyan, Mohammad Hussein +2 more
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Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory
, 2006This paper is concerned with the elastic buckling analysis of micro- and nano-rods/tubes based on Eringen's nonlocal elasticity theory and the Timoshenko beam theory.
Chien Ming Wang +3 more
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Suppression of bending waves in a periodic beam with timoshenko beam theory
Acta Mechanica Solida Sinica, 2013Active control of bending waves in a periodic beam by the Timoshenko beam theory is concerned. A discussion about the possible wave solutions for periodic beams and their control by forces is presented. Wave propagation in a periodic beam is studied. The transfer matrix between two consecutive unit cells is obtained based on the continuity conditions ...
Tao Chen, Ligang Wang
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The Shear Coefficient in Timoshenko’s Beam Theory
Journal of Applied Mechanics, 1966The 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 Is Not Always More Accurate Than Elementary Beam Theory
Journal of Applied Mechanics, 1977A 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.
James G. Simmonds, J. W. Nicholson
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On asymptotically correct Timoshenko-like anisotropic beam theory
International Journal of Solids and Structures, 2000Abstract This paper presents a finite element cross-sectional beam analysis capable of capturing transverse shear effects. The approach uses the variational-asymptotic method and can handle beams of general cross-sectional shape and arbitrary anisotropic material.
Bogdan Popescu, Dewey H. Hodges
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Thick/Slender Plane Beams. Timoshenko Theory [PDF]
, 2013 This chapter studies Timoshenko plane beam elements. Timoshenko beam theory accounts for the effect of transverse shear deformation. Timoshenko beam elements are therefore applicable for “thick” beams \(\left(\lambda = \frac{L}{h} 100)\) where this influence is irrelevant [Ti].
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, 2015
Vibration problems wildly exist in beam-foundation structures. In this paper, finite periodic composites inspired by the concept of ideal phononic crystals (PCs), as well as Timoshenko beam theory (TBT), are proposed to the beam anchored on Winkler ...
Yan Zhang +4 more
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Vibration problems wildly exist in beam-foundation structures. In this paper, finite periodic composites inspired by the concept of ideal phononic crystals (PCs), as well as Timoshenko beam theory (TBT), are proposed to the beam anchored on Winkler ...
Yan Zhang +4 more
semanticscholar +1 more source
Buckling of Multiwalled Carbon Nanotubes Using Timoshenko Beam Theory
Journal of Engineering Mechanics, 2006A Timoshenko beam model is presented in this paper for the buckling of axially loaded multiwalled carbon nanotubes surrounded by an elastic medium. Unlike the Euler beam model, the Timoshenko beam model allows for the effect of transverse shear deformation which becomes significant for carbon nanotubes with small length-to-diameter ratios. These stocky
Zhang, Y.Y., Wang, C.M., Tan, V.B.C.
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