Author
A.L. Newberry
Bio: A.L. Newberry is an academic researcher. The author has contributed to research in topics: Finite element method. The author has an hindex of 1, co-authored 1 publications receiving 23 citations.
Topics: Finite element method
Papers
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23 citations
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TL;DR: In this paper, the complementary energy method is applied to the free vibration analysis of various structural components, including prismatic and tapered bars, prismatic beams, and axisymmetric motion of circular membranes.
Abstract: Two approximate methods, which have not previously been used for structural dynamics problems, are applied to the free vibration analysis of various structural components. The first method is a new version of the complementary energy method. It is shown to be considerably more accurate than the conventional Rayleigh and Rayleigh-Schmidt methods when applied to spatially one-dimensional free vibration problems: prismatic and tapered bars, prismatic beams, and axisymmetric motion of circular membranes. The second method is the differential quadrature method introduced by Bellman and his associates. It is applied successfully here to all of the problems mentioned plus square membranes and circular and square plates.
307 citations
103 citations
TL;DR: In this article, a finite element method is developed and applied to treat the free vibration analysis of beams supported on elastic foundations, and the entire analysis is programmed to run on a microcomputer and with few elements modelling the beam, gives quick and reliable results.
83 citations
TL;DR: In this article, a review of the application of a little known version of the Rayleigh technique to a variety of problems in solid and structural mechanics is presented, together with some new material.
28 citations
TL;DR: In this article, the eigenvalue problem of Euler-Bernoulli discontinuous beams is addressed, and a formulation of well-established lumped-mass methods employing exact influence coefficients is readily feasible, based on appropriate Green's functions yielding the response of the discontinuous beam to a static unit force.
23 citations