Journal ArticleDOI
Bending Frequency of a Rotating Cantilever Beam
About:
This article is published in Journal of Applied Mechanics.The article was published on 1958-03-01. It has received 110 citations till now. The article focuses on the topics: Cantilever & Centrifugal force.read more
Citations
More filters
Journal ArticleDOI
Dynamic analysis of a rotating cantilever beam by using the finite element method
Jintai Chung,Hong Hee Yoo +1 more
TL;DR: In this article, a finite element analysis for a rotating cantilever beam is presented based on a dynamic modelling method using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are derived from Hamilton's principle.
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
Natural frequencies of radial rotating beams
S. Putter,H. Manor +1 more
TL;DR: In this article, the authors determined the lead-lag natural frequencies and mode shapes of a radial beam mounted on a rotating disc at a 90° setting angle by means of the finite element technique, a high precision beam element based on a fifth degree polynomial being used as displacement function, with deflection and slope at the ends as common nodal degrees of freedom.
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
TL;DR: 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.
Journal ArticleDOI
Vibration analysis of rotating cantilever plates
M. A. Dokainish,S. Rawtani +1 more
TL;DR: In this article, a finite element technique is used to determine the natural frequencies and the mode shapes of a cantilever plate mounted on the periphery of a rotating disc, where the plate is assumed to make any arbitrary angle with the plane of rotation of the disc.