Transactions of the Korean Society of Mechanical Engineers (대한기계학회논문집)
- Volume 19 Issue 8
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- Pages.1822-1831
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- 1995
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- 1225-5963(pISSN)
DOI QR Code
Structural Optimization Using Stochastic Finite Element Second-Order Perturbation Method
확률 유한요소 이차섭동법을 사용한 구조물 최적설계
- Published : 1995.08.01
Abstract
A general formulation of the design optimization problem with the random parameters is presented here. The formulation is based on the stochastic finite element second-order perturbation method ; it takes into full account of the stress and displacement constraints together with the rates of change of the random variables. A method of direct differentiation for calculating the sensitivity coefficients in regard to the governing equation and the second-order perturbed equation is derived. 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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