Journal ArticleDOI
Bending and vibration of circular cylindrical beams with arbitrary radial nonhomogeneity
Yong Huang,Xian-Fang Li +1 more
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TLDR
In this article, a new approach for analyzing transverse bending and vibration of circular cylindrical beams with radial nonhomogeneity was presented, which does not need to introduce a shear correction factor.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2010-04-01. It has received 59 citations till now. The article focuses on the topics: Timoshenko beam theory & Cylinder.read more
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Relations between buckling loads of functionally graded Timoshenko and homogeneous Euler-Bernoulli beams
Shi-Rong Li,Romesh C. Batra +1 more
TL;DR: In this paper, the critical buckling load of a functionally graded material (FGM) Timoshenko beam and that of the corresponding homogeneous Euler-Bernoulli beam subjected to axial compressive load have been derived for clamped-clamped (C-C), simply supported-simply supported (S-S), and clamped free (C -F) edges.
Journal ArticleDOI
Exact frequency equations of free vibration of exponentially functionally graded beams
Xian-Fang Li,Y.-A. Kang,J.-X. Wu +2 more
TL;DR: In this article, the free vibration of axially inhomogeneous beams with various end conditions was analyzed and the characteristic equations were derived in closed form for exponentially graded beams, where the gradient has a strong influence on the frequency spectrum and the natural frequencies noticeably depend on the variation of the gradient parameter and end support conditions.
Journal ArticleDOI
Free vibrations of non-uniform and axially functionally graded beams using Haar wavelets
Helle Hein,Ljubov Feklistova +1 more
TL;DR: In this paper, the Euler-Bernoulli theory and Haar matrices were used to investigate the vibrational properties of non-uniform and functionally graded beams with various boundary conditions and varying cross-sections.
Journal ArticleDOI
On vibrations of porous nanotubes
TL;DR: In this article, the vibration behaviors of porous nanotubes are investigated for the first time and the nonlocal strain gradient theory in conjunction with a refined beam model are employed to formulate the size-dependent model.
Journal ArticleDOI
A higher-order beam model for tubes
TL;DR: In this paper, a refined beam model is proposed for tubes to improve the prediction of the transverse shear deformation and study its influence on the mechanical response of tubes, which can capture the geometric features of tubes very well and, more importantly, shear stress can be vanished readily on inner and outer surfaces.
References
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Nanobeam mechanics: Elasticity, strength, and toughness of nanorods and nanotubes
TL;DR: In this paper, the Young's modulus, strength, and toughness of nanostructures are evaluated using an atomic force microscopy (AFM) approach. And the results showed that the strength of the SiC NRs were substantially greater than those found previously for larger SiC structures, and they approach theoretical values.
Book
Vibration problems in engineering
TL;DR: In this article, the Probleme dynamique and Vibration were used for propagation of ondes reference records created on 2004-09-07, modified on 2016-08-08.
Journal ArticleDOI
LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
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