Abstract
Advances in computer technology and performance allow researchers to pose useful optimization problems that were previously too large for consideration. For example, NASA Langley Research Center is investigating the large structural optimization problems that arise in aircraft design. The total number of design variables and constraints for these nonlinear optimization problems is now an order of magnitude larger than anything previously reported. To find solutions in a reasonable amount of time, a coarse-grained parallel-processing algorithm is recommended. This paper studies the effects of problem size on sequential and parallel versions of this algorithm.
For initial testing of this algorithm, a hub frame optimization problem is devised such that the size of the problem can be adjusted by adding members and load cases. Numerous convergence histories demonstrate that the algorithm performs correctly and in a robust manner. Timing profiles for a wide range of randomly generated problems highlight the changes in the subroutine timings that are caused by the increase in problem size. The potential benefits and drawbacks associated with the parallel approach are summarized.
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References
Balling, R.; Sobieszczanski-Sobieski, J. 1994: An algorithm for solving the system-level problem in multilevel optimization.NASA CR-195015, ICASE Report No. 94-96
Kreisselmeier, G.; Steinhauser, R. 1979: Systematic control design by optimizing a vector performance index.IFAC Symp. on Computer-Aided Design of Control Systems. Zurich
Miura, H.; Vanderplaats, G.N.; Kodiyalam, S. 1989: Experiences in large scale structural design optimization. In: Brebbia, Peters (eds.)Applications of supercomputers in engineering: fluid flow and stress analysis applications, pp. 251–268. New York: Elsevier
Padula, S.L.; Alexandrov, N.; Green, L.L. 1996: MDO test suite at NASA Langley Research Center.AIAA 96-4028
Petiau, C. 1991: Structural optimization of aircraft.Thin Walled Structures 11, 43–64
Sensburg, O.; Schweiger, J.; Godel, H.; Lotze, A. 1994: Integration of structural optimization in the general design process for aircraft.J. Aircraft 31, 206–212
Stone, S.C. 1997:Effects of problem size on large scale structural optimization. M.S. Thesis, George Washington University, Washington, D.C.
Storaasli, O.O. 1996: Performance of NASA equation solver on computational mechanics applications.AIAA Paper No. 96-1505
Vanderplaats, G.N. 1973: CONMIN—A FORTRAN program for constrained function minimization: user's manual.NASA TMX-62282
Vanderplaats, G.N. 1992: Structural optimization.Progress Astron. & Aeron. 146, 507–530
Walsh, J.L. 1989: Application of mathematical optimization procedure to a structural model of a large finite element wing.NASA TM-87597
Watson, B.C.; Noor, A.K. 1996: Sensitivity analysis for large-deflection and postbuckling responses on distributed memory computers.Comp. Meth. Appl. Mech. Engng. 129, 393–409 6
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Padula, S.L., Stone, S.C. Parallel implementation of large-scale structural optimization. Structural Optimization 16, 176–185 (1998). https://doi.org/10.1007/BF01202828
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DOI: https://doi.org/10.1007/BF01202828