Author
T. E. Smith
Bio: T. E. Smith is an academic researcher from North Carolina State University. The author has contributed to research in topics: Beam (structure) & Young's modulus. The author has an hindex of 1, co-authored 1 publications receiving 82 citations.
Topics: Beam (structure), Young's modulus, Critical load, Flutter
Papers
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TL;DR: In this article, the critical load for flutter was found independent of the foundation modulus, which characterizes the Winkler-type elastic imbedding, and the frequency of vibration of the beam increases with increasing base modulus but the magnitude of critical load is not affected.
Abstract: Discussion of a new aspect in the behavior of a cantilevered beam on an elastic foundation subjected to a follower force at its free end. The critical load for flutter is found to be independent of the foundation modulus which characterizes the Winkler-type elastic imbedding. The frequency of vibration of the beam increases with increasing foundation modulus, but the magnitude of the critical load is not affected. This result is valid for any 'tangency coefficient' value.
84 citations
Cited by
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TL;DR: A survey of simple, flexible structural elements subjected to non-conservative follower loads, such as those caused by the thrust of rocket and jet engines, and by dry friction in automotive disk-and drum-brake systems, is presented in this paper.
194 citations
168 citations
TL;DR: In this paper, an analysis of the vibration and stability of a non-uniform cracked Timoshenko beam subjected to a tangential follower force distributed over the center line by use of the transfer matrix approach is presented.
69 citations
TL;DR: In this article, a theoretical analysis of the effect of an elastic foundation and various damping forces on the stability of a fluid-conveying pipe is presented, and the results of extensive numerical calculations are presented in the form of diagrams.
63 citations
TL;DR: In this paper, a system of equations with fractional derivatives was studied in the analysis of the lateral motion of an elastic column fixed at one end and loaded by a concentrated follower force at the other end.
Abstract: We study a system of equations with fractional derivatives, that arises in the analysis of the lateral motion of an elastic column fixed at one end and loaded by a concentrated follower force at the other end. We assume that the column is positioned on a viscoelastic foundation described by a constitutive equation of fractional derivative type. The stability boundary is determined. It is shown that as in the case of an elastic (Winkler) type of foundation the stability boundary remains the same as for the column without a foundation! Thus, with the solution analysed here, the column exhibits the so-called Hermann–Smith paradox.
60 citations