Journal ArticleDOI
A note on transverse vibrations of a Timoshenko beam of non-uniform thickness clamped at one end and carrying a concentrated mass at the other
TLDR
In this paper, the lower natural frequencies of vibration of the structural system described the title have been determined and are presented for a significant range of values of the governing mechanical and geometric parameters for two types of configurations of structural interest: discontinuous variation of the thickness and continuous, linear variation.About:
This article is published in Journal of Sound and Vibration.The article was published on 1990-12-22. It has received 44 citations till now. The article focuses on the topics: Timoshenko beam theory & Beam (structure).read more
Citations
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Journal ArticleDOI
Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction
TL;DR: In this article, the free and forced vibration of a laminated functionally graded beam of variable thickness under thermally induced initial stresses is studied within the framework of Timoshenko beam theory, where the beam consists of a homogeneous substrate and two inhomogeneous functionally graded layers whose material composition follows a power law distribution in the thickness direction.
Journal ArticleDOI
A general solution for dynamic response of axially loaded non-uniform Timoshenko beams
N.M. Auciello,A. Ercolano +1 more
TL;DR: In this article, a dynamic investigation method for the analysis of Timoshenko beams is proposed, which takes into account the shearing deformation and the rotating inertia, and the solution of the problem is obtained through the iterative variational Rayleigh-Ritz method and assuming as test functions an appropriate class of orthogonal polynomials which respect the essential conditions only.
Journal ArticleDOI
Vibration and Stability Analysis of Non-Uniform Timoshenko Beams Under Axial and Distributed Tangential Loads
TL;DR: In this article, two sets of governing equations for transverse vibration of non-uniform Timoshenko beam subjected to both axial and tangential loads have been presented in the first set, where the axial forces were taken perpendicular to the shearing force, and the tangential forces were assumed to be tangential to the axis of the beam-column.
Journal ArticleDOI
Nonlocal Timoshenko beam theory for vibration of carbon nanotube-based biosensor
TL;DR: In this paper, a CNT-based biosensor is modeled as a nonlocal Timoshenko beam made of multi-wall CNT carrying a spherical nanoscale bio-object at the free end, and the influence of the rotary inertia of the bioobject itself is considered.
Journal ArticleDOI
Basic displacement functions for free vibration analysis of non-prismatic Timoshenko beams
TL;DR: In this paper, a novel method based on mechanical/structural principles is introduced for free vibration analysis of arbitrarily tapered Timoshenko beams in preference to primarily mathematically based methodologies.
References
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Journal ArticleDOI
The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions
Journal ArticleDOI
Vibrations of a mass-loaded clamped-free Timoshenko beam
J.C. Bruch,T. P. Mitchell +1 more
TL;DR: In this paper, the influence of rotary inertia and shear deformation on the motion of a flexible robot arm modelled as a cantilevered Timoshenko beam with a lumped moment of inertia at the free end was determined.
Related Papers (5)
Finite element formulation of a tapered Timoshenko beam for free lateral vibration analysis
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X. Tong,B. Tabarrok,K.Y. Yeh +2 more