Results 141 to 150 of about 1,812 (185)

The Timoshenko Beam With a Moving Load

Journal of Applied Mechanics, 1968
Abstract The problem of a semi-infinite Timoshenko beam of an elastic foundation with a step load moving from the supported end at a constant velocity is discussed. Asymptotic solutions are obtained for all ranges of load speed. The solution is shown to approach the “steady-state” solution, except for three speeds at which the steady ...
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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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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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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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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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Free Vibrations of Viscoelastic Timoshenko Beams

Journal of Applied Mechanics, 1971
The correspondence principle has been applied to derive the differential equations of viscoelastic Timoshenko beams with external viscous damping. These equations are solved by Laplace transform and boundary conditions are applied to obtain complex frequency equations and mode shapes for beams of any combination of end conditions.
Huang, T. C., Huang, C. C.
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Green’s Functions for Timoshenko Beam Problems

ASME 1997 Turbo Asia Conference, 1997
In this paper, a unified formulation is given for the bending, buckling and vibration problems of uniform Timoshenko and Euler-Bernoulli beams resting on various models of elastic foundation. Canonical Green’s functions have been derived for these beams which can be readily used to furnish exact solutions.
Wang, C. M., Lam, K. Y., He, X. Q.
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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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Dynamic Buckling of a Nonlinear Timoshenko Beam

SIAM Journal on Applied Mathematics, 1979
The transient motion that results when an ended-loaded column buckles is studied using a nonlinear Timoshenko beam theory. The two-time method is used to construct an asymptotic expansion of the solution. The results are then compared with those of a previous analysis of the same problem that employed the Euler-Bernoulli beam theory.
Hirschhorn Sapir, Marilyn, Reiss, Edward L.   +1 more
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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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