Discussion: "Natural Frequencies of Continuous Beams of Uniform Span Length" (Ayre, R. S., and Jacobsen, L. S., 1950, ASME J. Appl. Mech., 17, pp. 391–395)
L. E. Goodman,J. G. Sutherland +1 more
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This article is published in Journal of Applied Mechanics.The article was published on 1951-06-01 and is currently open access. It has received 19 citations till now.read more
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Journal ArticleDOI
A new rectangular beam theory
TL;DR: In this paper, a new theory for beams of rectangular cross-section which includes warping of the cross-sections is presented, and results for two typical static examples are given for both the new theory and Timoshenko beam theory.
MonographDOI
Dynamics of rotating machines
TL;DR: In this article, the reader can understand the dynamics of rotating machines by using extremely simple models for each phenomenon, in which (at most) four equations capture the behavior of rotor vibration.
Journal ArticleDOI
A higher order beam finite element for bending and vibration problems
Paul R. Heyliger,J. N. Reddy +1 more
TL;DR: In this paper, the finite element equations for a variationally consistent higher-order beam theory are presented for the static and dynamic behavior of rectangular beams, which correctly accounts for the stress-free conditions on the upper and lower surfaces of the beam while retaining the parabolic shear strain distribution.
Journal ArticleDOI
On Timoshenko's correction for shear in vibrating beams
TL;DR: A review of studies of the shear coefficient K occurring in Timoshenko's differential equation for flexural vibrations of beams is given in this article, together with new expressions hitherto overlooked and unknown, and compared with one another.
Journal ArticleDOI
Free vibration of composite beams using a refined shear flexible beam element
TL;DR: In this article, a finite element model based on a higher-order shear deformation theory is developed to study the free vibration characteristics of laminated composite beams and the effects of in-plane inertia and rotary inertia are considered in the formulation of the mass matrix.