Hybrid uncertainties optimization using the orthogonal polynomials expansion

Publication Type:
Conference Proceeding
8th Australasian Congress on Applied Mechanics, ACAM 2014, as Part of Engineers Australia Convention 2014, 2014, pp. 888 - 896
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A new engineering design optimization method under uncertainties is proposed in this paper, in which both the random uncertainty and interval uncertainty are considered simultaneously. The evaluation functions (objective and constraints) are expanded with respect to the uncertain parameters by using the orthogonal polynomials. The Polynomial-Chaos-Chebyshev-Interval (PCCI) method is used to realize the expansion, which is able to settle the random uncertainty and interval uncertainty in an integral framework. The proposed hybrid uncertainty optimization will be compared with the traditional deterministic optimization and the random uncertainty optimization through a structure design optimization problem.
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