Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cma.2007.03.024
Title: Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval
Authors: Jiang, C.
Han, X.
Liu, G.R. 
Keywords: Convex model
Interval analysis
Satisfaction degree of interval
Structural optimization
Uncertainty
Issue Date: 1-Nov-2007
Source: Jiang, C., Han, X., Liu, G.R. (2007-11-01). Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Computer Methods in Applied Mechanics and Engineering 196 (49-52) : 4791-4800. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cma.2007.03.024
Abstract: An optimization method for uncertain structures is suggested based on convex model and a satisfaction degree of interval. In the investigated problem, the uncertainty only exists in constraints. Convex model is used to describe the uncertainty in which the intervals of the uncertain parameters are only needed, not necessarily to know the precise probability distributions. A satisfaction degree of interval which represents the possibility that one interval is smaller than another is employed to deal with the uncertain constraints. Based on a predetermined satisfaction degree level, the uncertain constraints are transformed to deterministic ones, and the transformed optimization problem can be solved by traditional optimization methods. For complex structural problems that the optimization model cannot be expressed in an explicit form, the interval analysis method is adopted to calculate the intervals of the constraints efficiently, and whereby eliminate the optimization nesting. Two numerical examples have been presented to demonstrate the efficiency of the suggested method. © 2007 Elsevier B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/61026
ISSN: 00457825
DOI: 10.1016/j.cma.2007.03.024
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