Inclusion of Model Errors in Reliability-Based Optimization

[+] Author and Article Information
Sankaran Mahadevan1

 Vanderbilt University, Nashville, TN 37235sankaran.mahadevan@vanderbilt.edu

Ramesh Rebba

 Vanderbilt University, Nashville, TN 37235


Corresponding author.

J. Mech. Des 128(4), 936-944 (Jan 08, 2006) (9 pages) doi:10.1115/1.2204973 History: Received September 16, 2005; Revised January 08, 2006

This paper proposes a methodology to estimate errors in computational models and to include them in reliability-based design optimization (RBDO). Various sources of uncertainties, errors, and approximations in model form selection and numerical solution are considered. The solution approximation error is quantified based on the model itself, using the Richardson extrapolation method. The model form error is quantified based on the comparison of model prediction with physical observations using an interpolated resampling approach. The error in reliability analysis is also quantified and included in the RBDO formulation. The proposed methods are illustrated through numerical examples.

Copyright © 2006 by American Society of Mechanical Engineers
Topics: Errors
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Figure 1

Sources of errors during various phases of modeling and simulation

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Figure 2

Illustration of torque shaft assembly

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Figure 3

Illustration of cantilever plate with three holes



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