Structural Engineering and Mechanics

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Application of the first-order perturbation method to optimal structural design

  • Lee, Byung Woo (Dongeui Technical Junior College) ;
  • Lim, O Kaung (Research Institute of Mechanical Technology, Pusan National University)
  • Published : 1996.07.25
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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.

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References

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