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TECHNICAL PAPERS

Apparently First Closed-Form Solution for Frequencies of Deterministically and/or Stochastically Inhomogeneous Simply Supported Beams

[+] Author and Article Information
S. Candan

Laboratoire de Recherches et Applications en Mécanique Avançée, Institute Français de Mécanique Avançee, Aubière F-63175, France

I. Elishakoff

Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431e-mail: ielishak@me.fau.edu

J. Appl. Mech 68(2), 176-185 (Sep 07, 2000) (10 pages) doi:10.1115/1.1355034 History: Received May 25, 1998; Revised September 07, 2000
Copyright © 2001 by ASME
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References

Figures

Grahic Jump Location
Probability density functions of variables B1 and B2, and the probability distribution function FB1 for α−ω022≥γ and γ≤β−ω022≤δ; reliability is given in Eq. (81)
Grahic Jump Location
Probability density functions of variables B1 and B2, and the probability distribution function FB1 for β−ω022≤γ; leading to unity reliability
Grahic Jump Location
Case when length β−α of B1 interval is smaller than the length of B2 interval; reliability is given in Eq. (83)
Grahic Jump Location
Case when length β−α of B1 interval is bigger than the length of B2 interval; reliability is given in Eq. (84)
Grahic Jump Location
Probability density functions of variables B1 and B2, and the probability distribution function FB1 for ω02≤σ2(α−δ), leading to zero reliability
Grahic Jump Location
Probability density functions of variables B1 and B2, and the probability distribution function FB1 for β−ω022≥δ; reliability is given by expression (80)

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