Author
H. H. Mabie
Bio: H. H. Mabie is an academic researcher. The author has contributed to research in topics: Fundamental frequency & Harmonic. The author has an hindex of 1, co-authored 1 publications receiving 53 citations.
Papers
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TL;DR: In this article, free vibrations of nonuniform cantilever beams with an end support have been investigated, using the equations of Bernoulli-Euler, and two configurations of interest are treated: (a) constant width and linearly variable thickness, and (b) constant thickness and linear variable width.
Abstract: Free vibrations of nonuniform cantilever beams with an end support have been investigated, using the equations of Bernoulli‐Euler. Two configurations of interest are treated: (a) constant width and linearly variable thickness, and (b) constant thickness and linearly variable width. Charts have been plotted for each case from which the fundamental frequency, the second harmonic, and the third harmonic can be easily determined for various taper ratios. The Tables from which these charts were plotted are also included.
53 citations
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TL;DR: In this paper, the free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions were dealt with using the Adomian modified decomposition method (AMDM).
101 citations
TL;DR: In this article, a method of modelling for transverse vibrations of a geometrically segmented slender beam, with and without a crack normal to its axis, has been proposed using the Frobenius technique.
101 citations
TL;DR: In this article, a generalised wave approach based on reflection, transmission and propagation of waves is used for the analysis of non-uniform waveguides, where positive and negative-going wave motions are separated so that the problem is always wellposed.
77 citations
TL;DR: In this paper, a rotational spring was used to represent the crack section and the Frobenius method to enable possible detection of location of the crack based on the measurement of natural frequencies.
73 citations
TL;DR: In this article, the dynamic behavior of beams with linearly varying cross-section is examined, in the presence of rotationally and axially flexible ends, in terms of Bessel functions, and the boundary conditions lead to the frequency equation which is a function of four flexibility coefficients.
61 citations