RESEARCH PAPERS: Design Automation Papers

Probabilistic Optimal Design Using Second Moment Criteria

[+] Author and Article Information
A. D. Belegundu

Mechanical Engineering Department, The Pennsylvania State University, University Park, PA 16802

J. Mech., Trans., and Automation 110(3), 324-329 (Sep 01, 1988) (6 pages) doi:10.1115/1.3267465 History: Received October 28, 1987; Revised March 01, 1988; Online November 19, 2009


Probability-based optimal design of structures is presented. The emphasis here is to develop a practical approach to optimal design given random design parameters. The method is applicable to structures which are modeled using the finite element method. The Hasofer-Lind (H-L) second-moment design criterion is used to formulate the general design problem. A method for calculating the sensitivity coefficients is presented, which involves second-order design sensitivity analysis. The importance of second order derivatives is established. A nonlinear programming technique is used to solve the problem. Numerical results are presented, where stiffness parameters are treated as random variables.

Copyright © 1988 by ASME
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