Research Papers

Hybrid Randomness of Initial Imperfections and Axial Loading in Reliability of Cylindrical Shells

[+] Author and Article Information
Isaac Elishakoff

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

Lova Andriamasy, Maurice Lemaire

 IFMA, French Institute for Advanced Mechanics, Clermont-Ferrand, 63175 Aubière Cedex, France

J. Appl. Mech 77(3), 031003 (Feb 01, 2010) (9 pages) doi:10.1115/1.4000412 History: Received July 28, 2008; Revised July 13, 2009; Published February 01, 2010; Online February 01, 2010

This study investigates the combined effect of randomness in initial geometric imperfections and the applied loading on the reliability of axially compressed cylindrical shells. In order to gain insight we consider simplest possible case when both the initial imperfections and the applied loads are uniformly distributed. It is shown that hybrid randomness may increase or decrease the reliability of the shell if the latter is treated, experiencing the sole randomness in initial imperfections.

Copyright © 2010 by American Society of Mechanical Engineers
Topics: Reliability , Stress , Pipes
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Figure 1

Variation of ρ1 and ρ2 versus initial imperfection amplitude ξ

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Figure 2

Variation of αallowable,1 and αallowable,2 as function of r

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Figure 3

Five possible different locations of load bounds with respect to α∗ and unity

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Figure 4

Evaluation of reliability in four different cases

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Figure 5

Evaluation of reliability for different values of α

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Figure 6

Curve shape of reliability when αb<αa, q=4/3, a=−0.1 and b=0.2

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Figure 7

Curve shape of reliability when αa<αb, q=4/3, a=−0.2, and b=0.1

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Figure 8

Seven possible different locations of load bounds with respect to αa, αb, and unity

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Figure 9

Performance function for the case 6 and its isovalues

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Figure 10

Variation of reliability for the diameter λ2−λ1 of the load variation for a=−0.2 and b=0.1



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