By V. Komkov
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Extra resources for Sensitivity of Functionals with Applications to Engineering Sciences: Proceedings of a Special Session of the American Mathematical Society Spring Mee
Optimality c r i t e r i a f o r the simply- and doubly- connected domains are obtained. An i t e r a t i v e numerical method f o r optimizing shape of simply- and doublyconnected shaft cross sections is outlined in Section 4. Numerical c a l c u l a t i o n s are carried out using the f i n i t e element method f o r analysis of the designs and a nonlinear programming method f o r optimization. Examples of both simply- and multiply-connected bars, with constraints on admissible location of the boundaries Fi and £o, are presented in Section 5.
5 (1960), p. 275-285. 4. I. B. Keller, Strongest columns and isoperimetric inequalities for eigenvalues, J. of Applied ~chanics, Vol, 9, (1962), p. 159-164. 5. N. D. Thesis, Technical University of Denmark, Dept. of Solid Mechanics, Lyngby, Denmark, November 1978. 6. J. S. Army Material Command Pamphlet, AMC 706-902 (1972-73), Engineering Design Handbook. 7. E. DeSilva, Applications of Pontryagin's principle to a minimum weight design problem, Journal of Basic Engineering, ASME, Vol. I, #92, (1970), p.
12, 1976, pp. 275-286. , "The Material Derivative (Or Speed) Method For Shape Optimization", O_ptimization of Distributed Parameter Structures (Eds. J. Haug and J. Cea)~ ~ & Noo--6-r-d-ho-~~ p ~ ~ den R-T~T N-etherlands, 1980. J. , "Design S e n s i t i v i t y Analysis of Shape Variat i o n s , " Optimization of Distributed Parameter Structures, (Eds. J. Haug and J. Cea), S i j t h o f f and Noordhoff, Alphen aan den Rign, Netherlands, 1980. P. I d e n t i f i c a t i o n de domaines par deformations, Thesis, Nice University, 1979.
Sensitivity of Functionals with Applications to Engineering Sciences: Proceedings of a Special Session of the American Mathematical Society Spring Mee by V. Komkov