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TECHNICAL PAPERS

Anti-Optimization Versus Probability in an Applied Mechanics Problem: Vector Uncertainty

[+] Author and Article Information
M. Zingales, I. Elishakoff

Department of Mechanical Engineering, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431-0991

J. Appl. Mech 67(3), 472-484 (Feb 29, 2000) (13 pages) doi:10.1115/1.1313533 History: Received October 23, 1998; Revised February 29, 2000
Copyright © 2000 by ASME
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References

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Figures

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Description of the structural model
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Uniform probability density function over a rectangular domain
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Geometrical representation of the first term in reliability expression (Eq. (44))
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Geometrical representation of the second term in reliability expression, (Eq. (47))
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Geometrical representation of the third term in reliability expression (Eq. (50))
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Geometrical representation of the fourth term in reliability expression (Eq. (52))
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Reliability versus nondimensional time, initial imperfections with uniform probability density (D=[1.2,2]×[1.4,2]), Eqs. (26a) and (38)
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Reliability versus nondimensional time, initial imperfections with uniform probability density function (D=[1.2,2]×[1.4,2]), Eqs. (26b) and (38)
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Reliability versus nondimensional time, initial imperfections with uniform probability density (D=[1.2,2]×[1.4,2]), Eqs. (26c) and (38)
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Reliability versus nondimensional time, initial imperfections with uniform probability density (D=[1.2,2]×[1.4,2]), Eqs. (26d) and (38)
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Reliability versus nondimensional time, initial imperfections with uniform probability density (D=[1.2,2]×[1.4,2]), Eqs. (26e) and (38)
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Design curve c=c(ρd),t̄=0.2 uniform probability density function and unity reliability requirement (P=3000 Kg,D=[1.2,2]×[1.4,2]), Eq. (38)
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Design surface c=c(ρd,t) uniform probability density function and unity reliability requirement (P=3000 Kg,D=[1.2,2]×[1.4,2]), Eq. (38)
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Comparison of design curve; uniform probability density function and different codified reliabilities, t̄=0.5 (P=3000 Kg,D=[1.2,2]×[1.4,2]), Eq. (38)
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Domain of integration of the probability density function (g10=2,g20=1.5,K=1.0), Eq. (73)
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Reliability versus phase angle difference, Eq. (74)
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Comparison of design curves for uniform probability density function over a circular domain and different required reliabilities t̄=0.5,P=3000 Kg (g10=2,g20=1.5,K=1.0), Eq. (86)
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Design surface c=c(ρd,t), uniform probability density function over circular domain and required unity reliability (P=3000 Kg,g10=2,g20=1.5,K=1.0), Eq. (86)
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Initial imperfections amplitudes modeled by convex variables: anti-optimization design (g10=2,g20=1.5,K=1.0), Eq. (100)

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