Modified fully utilized design (MFUD) method for stress and displacement constraints

International Journal for Numerical Methods in Engineering

Volumn 41, Issue 7, 1998, Pages 1171-1194

  Patnaik, Surya N ^a   Gendy, Atef S ^b,c   Berke, Laszlo ^b   Hopkins, Dale A ^b  

^a OHIO AEROSPACE INSTITUTE   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

^c NATIONAL RESEARCH COUNCIL   (United States)

Author keywords

Force method; Fully utilized design; Optimization techniques

Indexed keywords

NONLINEAR PROGRAMMING; STRESS ANALYSIS; STRUCTURAL LOADS;

INTEGRATED FORCE METHOD (IFM); MODIFIED FULLY UTILIZED DESIGN (MFUD);

STRUCTURAL ANALYSIS;

EID: 0032049920     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980415)41:7<1171::AID-NME296>3.0.CO;2-O     Document Type: Article

References (23)

1. R. H. Gallagher, 'Fully stressed designs', in R. H. Gallagher and O. C. Zienkiewicz (eds.), Optimum Structural Design, Wiley, New York, 1973.
2. P. B. Thanedar et al, 'Performance of some SQP algorithms on structural design problems', Int. J. Numer. Meth. Engng., 23, 2187-2203 (1986).
3. B. Pshenichny, 'Algorithms for the general problem of mathematical programming', Kibernetica, 5, 20-125 (1970).
4. P. Wolfe, 'Methods of nonlinear programming', in R. L. Graves and P. Wolfe (eds.), Recent Advances in Nonlinear Programming, McGraw-Hill, New York, 1963.
5. K. Schittkowski, 'On the convergence of a sequential quadratic programming method with an augmented Lagrangian line search function', Math. Oper Statist. Ser. Optim., 14, 197-216 (1983).
6. D. G. Leunberger, Introduction to Linear and Nonlinear Programming, Addison-Wesley, Reading, MA, 1984.
7. G. N. Vanderplaats and F. Moses, 'Structural optimization by methods of feasible directions', Comput. Struct., 3, 739-755 (1973).
8. A. V. Fiacco and G. P. McCormick, Nonlinear Programming, Sequential Unconstrained Minimization Techniques, Wiley, New York, 1968.
9. L. Berke, 'Convergence behavior of optimality criteria based iterative procedures', USAF AFFDL-TM-72-1-FEB (1970).
10. L. Berke and N. S. Knot, 'Performance characteristics of optimality criteria methods', in G. I. N. Rozvany and B. L. Karihaloo (eds.), Structural Optimization, Kluwer, Dordrecht, 1988.
11. C. Fleury, 'An efficient optimality criteria approach to the minimum weight design of elastic structures', Comput. Struct., 11, 163-173 (1980).
12. S. N. Patnaik et al., 'Performance trend of different algorithms for structural design optimization', NASA TM-4698 (1995).
13. J. D. Guptil et al., Comparative Evaluation Test Bed of Optimizers and Analyzers for the Design of Structures: Useras Manual, NASA TM-4537 (1996).
14. S. N. Patnaik, 'An integrated force method for discrete analysis', Int. J. Numer. Meth., Engng., 6, 237-251 (1973).
15. S. N. Patnaik and M. S. Nagaraj, 'Analysis of continuum by the integrated force method', Comput. Struct., 26, 899-905 (1987).
16. S. N. Patnaik, L. Berke and R. H. Gallagher, 'Integrated force method versus displacement method for finite element analysis', Comput. Struct., 38, 377-407 (1991).
17. L. Barke and N. S. Khot, 'Structural optimization using optimality criteria', NATO, ASI Series, F27B, Springer, Berlin, Heidelberg, 1987, pp. 271-311.
18. S. N. Patnaik and R. H. Gallagher, 'Gradients of behavior constraints and reanalysis via the integrated force method', Int. J. Numer. Meth. Engng., 23, 2205-2212 (1986).
19. H. Miura and L. A. Schmit, Jr., NEWSUMT-a FORTRAN Program for Inequality Constrained Function Minimization: User's Guide, NASA CR-159070, 1979.
20. International Mathematical and Statistical Library: User's Manual, Ver. 1.1, ISML, Houston, TX, 1989.
21. G. N. Vanderplaats, DOT Users Manual, Ver. 2.0, Engineering Design Optimization, Inc., Santa Barbara, CA, 1989.
22. S. N. Patnaik, J. D. Guptil and L. Berke, 'Merits and limitations of optimality criteria method for structural optimization', Int. J. Numer. Meth. Engng., 38, 3087-3120 (1995).
23. L. Berke and N. S. Knot, Use of Optimality Criteria Methods for Large Scale Systems, AGARD-SL-70, 1970.