Results 141 to 150 of about 1,850 (185)

Timoshenko Beam Theory

2021
This chapter presents the analytical description of thick, or so-called shear-flexible, beam members according to the Timoshenko theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical problem,
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Flexural Vibrations and Timoshenko's Beam Theory

AIAA Journal, 1974
This paper is a study of flexural elastic vibrations of Timoshenko beams with due allowance for the effects of rotary inertia and shear. Two independent formulations are developed, one based on the concepts proposed by Timoshenko and the other on the extended Rayleigh-Ritz energy method.
AALAMI B., ATZORI, BRUNO
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Forced Motions of Timoshenko Beams

Journal of Applied Mechanics, 1955
Abstract Timoshenko’s theory of flexural motions in an elastic beam takes into account both rotatory inertia and transverse-shear deformation and, accordingly, contains two dependent variables instead of the one transverse displacement of classical theory of flexure. For the case of forced motions, the solution involves complications not
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Static analysis of nonuniform timoshenko beams

Computers & Structures, 1993
Summary: With the assumption that the bending rigidity of a beam is second-order differentiable with respect to the coordinate variable, the exact static deflection of a nonuniform Timoshenko beam with typical kinds of boundary conditions is given in closed form and expressed in terms of the four fundamental solutions of the governing differential ...
Lee, S. Y., Kuo, Y. H.
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Coupled bending and twisting of a timoshenko beam

Journal of Sound and Vibration, 1977
Abstract Allowance is made for shear deflection and for rotary inertia of a non-uniform beam that executes coupled bending and twisting vibration. Principal modes are found, orthogonality conditions established and modal equations of forced motion derived.
Bishop, R. E. D., Price, W. G.
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Stabilization of the Timoshenko Beam by Thermal Effect

Mediterranean Journal of Mathematics, 2010
The Timoshenko theory of a beam is an improvement of Euler-Bernoulli theory. When the rotation inertia and the transverse shear are significant in the beam model one has to use rather the Timoshenko theory. The authors consider a linear system of Timoshenko type in a bounded interval.
Djebabla, Abdelhak, Tatar, Nasser-Eddine
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Control of Planar Networks of Timoshenko Beams

SIAM Journal on Control and Optimization, 1993
The present study is concerned with the questions of controllability and stabilizability of planar networks of vibrating beams consisting of several Timoshenko beams connected to each other by rigid joints at all interior nodes of the system. Some of the exterior nodes are either clamped or free; controls may be applied at the remaining exterior nodes ...
Lagnese, J. E., Leugering, G., Schmidt, E. J. P. G.   +2 more
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Timoshenko Beams and Frames

2018
This chapter introduces first the theory to derive the elemental stiffness matrix of Timoshenko beam elements for an arbitrary number of nodes and assumptions for the displacement and rotation fields. Then, the principal finite element equation of such beam elements and their arrangements as plane frame structures are briefly covered.
Andreas Öchsner, Resam Makvandi
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Application of the Reissner Method to a Timoshenko Beam

Journal of Applied Mechanics, 1981
The Reissner and the potential energy methods have been applied to a Timoshenko beam vibrating in flexure. Frequency equations are developed using shape functions for bending moment, shearing force, deflection, and slope in series form through the Ritz process.
Rao, J. S., Kulkarni, S. V., Subrahmanyam, K. B.   +2 more
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VIBRATION ANALYSIS OF A ROTATING TIMOSHENKO BEAM

Journal of Sound and Vibration, 2001
Summary: The governing equations for linear vibration of a rotating Timoshenko beam are derived by the d'Alembert principle and the virtual work principle. In order to capture all inertia effect and coupling between extensional and flexural deformation, the consistent linearization of the fully geometrically non-linear beam theory is used.
Lin, S. C., Hsiao, K. M.
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