Affiliation:
1. Department of Mechanical Engineering, University of Natal, Durban 4001, South Africa
Abstract
An angle-ply laminated plate is optimized with the objective of minimizing its weight subject to maximum deflection and buckling constraints. The plate has an initial deflection the shape of which is not known a priori, i.e., the initial deflection is not specified in a “deterministic” manner and as such it is “uncertain.” The weight is proportional to the laminate thickness which is minimized taking the ply angles as design variables and under the least favorable conditions of initial imperfections. The convex modeling approach is employed to analyze the uncertain initial deflection with the uncertain quantities allowed to vary arbitrarily around their average values subject to the requirement that these variations are bounded in L2 norm. The results are given for both single load and multiple load cases and the effect of uncertainty on the optimal design is investigated. It is shown that the minimum weight increases with increasing level of uncertainty and the optimal ply angles also depend on the level of uncertainty.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference14 articles.
1. Adali, S., 1992, “Convex and fuzzy modellings of uncertainties in the optimal design of composite structures,” Optimal Design with Advanced Materials, P. Pedersen, ed., Elsevier, Amsterdam, The Nederlands.
2. Adali, S., Richter, A., and Verijenko, V. E., 1994, “Optimal design of symmetric angle-ply laminates subject to uncertain loads and initial imperfections,” Proceedings of the Fourth International Conference on Computer Aided Design in Composite Materials Technology (CADCOMP-94), W. R. Blair and W. P. de Wilde, eds., June 29-July 1, Southampton, England, pp. 39–48.
3. Adali
S.
, RichterA., and VerijenkoV., 1995, “Non-probabilistic modelling and design of sandwich plates subject to uncertain loads and initial deflections,” International Journal of Engineering Sciences, Vol. 33, pp. 855–866.
4. Ben-Haim
Y.
, 1993, “Failure of an axially compressed beam with uncertain initial deflection of bounded strain energy,” International Journal of Engineering Science, Vol. 31, pp. 989–1001.
5. Ben-Haim
Y.
, and ElishakoffI., 1989, “Non-probabilistic Models of Uncertainty in the Nonlinear Buckling of Shells With General Imperfections: Theoretical Estimates of the Knockdown Factor,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 56, pp. 403–410.
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献