Journal ArticleDOI
Transverse vibrations of a rotating uniform cantilever beam with tip mass as predicted by using beam characteristic orthogonal polynomials in the Rayleigh-Ritz method
TLDR
In this paper, a rotating uniform cantilever beam with a tip mass was studied by using beam characteristic orthogonal polynomials in the Rayleigh-Ritz method, and the results were compared with those obtained by the Myklestad method, the extended Galerkin method and finite element methods.About:
This article is published in Journal of Sound and Vibration.The article was published on 1986-03-08. It has received 110 citations till now. The article focuses on the topics: Orthogonal polynomials & Normal mode.read more
Citations
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Journal ArticleDOI
Free vibration of Euler and Timoshenko functionally graded beams by Rayleigh–Ritz method
TL;DR: In this paper, the free vibration analysis of functionally graded material (FGM) beams subjected to different sets of boundary conditions is performed based on the classical and first order shear deformation beam theories.
Journal ArticleDOI
The role of non-linear theories in transient dynamic analysis of flexible structures
Juan C. Simo,Loc Vu-Quoc +1 more
TL;DR: In this article, it was shown that the use of a first-order linear beam theory results in a spurious loss of bending stiffness, and that a geometrically non-linear (at least second-order) beam theory is sufficient to account for the influence of centrifugal force on bending stiffness.
Journal ArticleDOI
Free vibration analysis of a cylindrical shell—circular plate system with general coupling and various boundary conditions
Li Cheng,Jean Nicolas +1 more
TL;DR: In this article, the free vibration of a structure consisting of a finite circular cylindrical shell closed at one end by a circular plate is analyzed by means of continuous distributions of springs along the shell and the plate interface.
Journal ArticleDOI
Structural Modeling and Free Vibration Analysis of Rotating Composite Thin-Walled Beams
Ohseop Song,Liviu Librescu +1 more
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Dynamic stability of a rotating sandwich beam with magnetorheological elastomer core
TL;DR: In this paper, the dynamic stability of a rotating three layered symmetric sandwich beam with magnetorheological elastomer core and conductive skins subjected to axial periodic loads has been investigated using finite element method.
References
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Journal ArticleDOI
Comments on «natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method»
TL;DR: In this paper, a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method was used to obtain the natural frequencies of rectangular plates. But the results for lower modes were not as good as those obtained by other methods.
Journal ArticleDOI
Natural frequencies of rectangular plates using characteristic orthogonal polynomials in rayleigh-ritz method
TL;DR: In this article, a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method was used to obtain the natural frequencies of rectangular plates. But the results for lower modes were not as good as those obtained by other methods.
Journal ArticleDOI
Vibration Modes of Centrifugally Stiffened Beams
TL;DR: In this paper, the exact frequencies and mode shapes for rotating beams in which both the flexural rigidity and the mass distribution vary linearly were solved using the Frobenius method.
Journal ArticleDOI
Vibration of a rotating beam with tip mass
TL;DR: In this article, the effects of the root radius, the setting angle and the tip mass are incorporated into the finite element model to investigate the vibration frequency of a rotating beam with tip mass.