Results 181 to 190 of about 1,610,952 (250)

A new Timoshenko beam model based on modified gradient elasticity: Shearing effect and size effect of micro-beam

Composite structures, 2019
To investigate the shearing effect and size effect of micro-beams, a new Timoshenko beam model based on the modified gradient elasticity (MGE) is developed by using the variational principle.
Bing Zhao, Jian Chen, Tao Liu, Wen-zhong Song, Jian-ren Zhang   +4 more
semanticscholar   +1 more source

Timoshenko beam finite elements

Journal of Sound and Vibration, 1973
During the past few years, a number of different finite elements for Timoshenko beams have been published. These formulations are reviewed and a new element which has three degrees of freedom at each of two nodes is presented. The rates of convergence of a number of the elements are compared by calculating the natural frequencies of two cantilever ...
Thomas, D. L., Wilson, J. M., Wilson, R. R.   +2 more
openaire   +1 more source

Inhomogeneous Timoshenko beam equations

Mathematical Methods in the Applied Sciences, 1992
AbstractThe so‐called Timoshenko beam equation is a good linear model for the transverse vibrations of a homogeneous beam. Following the variational approach of Washizu, the governing equation is deduced in the case when the physical/geometrical parameters of the beam vary along its axis.
AROSIO, Alberto Giorgio, PANIZZI, Stefano, M. G. Paoli   +2 more
openaire   +3 more sources

On dynamic optimization of Timoshenko beam

Applied Mathematics and Mechanics, 1983
The present paper discusses the minimum weight design problem for Timoshenko and Euler beams subjected to multi-frequency constraints. Taking the simply-supported symmetric beam as an example, we reveal the abnormal characteristics of optimal Timoshenko beams, i.e., the frequency corresponding to the first symmetric vibration mode could be higher than ...
Cheng, Keng-tung, Ding, Hua
openaire   +1 more source

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.
openaire   +1 more source

Timoshenko beams with variable‐exponent nonlinearity

Mathematical Methods in the Applied Sciences, 2023
In this paper, we consider the following Timoshenko system with a nonlinear feedback having a variable exponent and a time‐dependent coefficient . We establish, for the first time as per our knowledge, explicit energy decay rates for this system depending on both and .
openaire   +1 more source

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.
openaire   +1 more source

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
openaire   +3 more sources

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
openaire   +2 more sources

A micro/nano-scale Timoshenko-Ehrenfest beam model for bending, buckling and vibration analyses based on doublet mechanics theory

, 2021
A micro-nano-scale Timoshenko-Ehrenfest beam model is investigated using doublet mechanics theory in the present study. The governing equations and all possible boundary conditions are obtained based on doublet mechanics model.
U. Gul, M. Aydogdu
semanticscholar   +1 more source