Journal ArticleDOI
A consistent finite element method for random response problems
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In this article, a polynomial representation over each finite element of the excitation cross spectral density function is introduced, which allows the spatial integrations involved in evaluating the modal force cross spectral matrix to be carried out in closed form and this matrix can be calculated by an automatic computer process.About:
This article is published in Computers & Structures.The article was published on 1972-02-01. It has received 27 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.read more
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Introduction to finite element vibration analysis
TL;DR: In this article, the finite element displacement method was used for the analysis of free vibration of plates and shells, and for the simulation of forced response and forced response analysis of rigid and flexible plates.
Journal ArticleDOI
Wind effects on structures: a probabilistic viewpoint
TL;DR: The state-of-the-art on the question of the caracterisation des vents and des charges aerodynamiques is described in this article, where the authors present a set of applications, including structures in terre and en mer, as well as simulation numerique des effets du vent.
Journal ArticleDOI
Finite Element Random Response Analysis of Cooling Tower
T. Y. Yang,Rakesh K. Kapania +1 more
TL;DR: In this article, a finite element formulation and Gaussian quadrature procedure, using both the direct complex matrix inversion and the modal superposition methods, are presented for studying the stationary random response of shell structures, such as a cooling tower.
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Finite element method for random response of structures due to stochastic excitation
TL;DR: In this article, the authors describe the application of the finite element method to analyse the response of multidegree-linear-elastic structures subjected to stationary random stochastic loading.
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Journal ArticleDOI
On the Fatigue Failure of Structures due to Vibrations Excited by Random Pressure Fields
TL;DR: In this article, a general analysis is made using the ideas of vibration theory and spectrum analysis, on the assumption that the forced modes of vibration of a structure, subjected to pressure fluctuations random in time and space, can be approximated by the composition of the motions of the uncoupled natural modes.
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The Effect of Lumped Parameters on Beam Frequencies
F. A. Leckie,G. M. Lindberg +1 more
TL;DR: In this article, an investigation into the errors involved in using certain lumped parameter methods for the solution of beam frequencies has been made and a new dynamic stiffness matrix has been formulated, which gives consistently good results for even a few elements.
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Vibrations of Beams on Many Supports
TL;DR: In this article, the natural frequencies of continuous beam determined from difference equation formulation, these frequencies fall in periodically spaced groups separated by spectral gaps of widths, groups tend to have uniform spectra as number of supports tends to infinity, but gaps remain giving band pass character to entire spectrum.
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Response of a multi-supported beam to a random pressure field
TL;DR: In this paper, normal mode techniques are used to study the displacement response spectral density of a beam of finite length resting on many simple supports and subjected either to subsonic boundary layer or far field jet noise pressure fluctuations.