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Structural Engineering and Mechanics Volume 4, Number 4, July 1996 , pages 425-436 DOI: https://doi.org/10.12989/sem.1996.4.4.425 |
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Application of the first-order perturbation method to optimal structural design |
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Lee BW, Lim OK
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| Abstract | ||
| An application of the perturbation method to optimum structural design with random parameters is presented. It is formulated on the basis of the first-order stochastic finite element perturbation method. It also takes into full account the stress, displacement and eigenvalue constraints, together with the rates of change of the random variables. A method for calculating the sensitivity coefficients in regard to the governing equation and the first-order perturbed equation has been derived, by using a direct differentiation approach. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables. | ||
| Key Words | ||
| stochastic finite element method, first-order perturbation, optimal design, sensitivity analysis | ||
| Address | ||
| Lee BW, DONGEUI TECH JR COLL,PUSANJIN KU,72 YANGJEONG DONG,PUSAN,SOUTH KOREA PUSAN NATL UNIV,RES INST MECH TECHNOL,PUSAN 609735,SOUTH KOREA | ||