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A computational method for optimal structural design. I: Piecewise uniform structures. (English) Zbl 0243.73046


MSC:

74K99 Thin bodies, structures
Full Text: DOI

References:

[1] Sheu, Appl. Mech. Rev. 21 pp 895– (1968)
[2] An Introduction to Structural Optimization, University of Waterloo Press, Ontario, 1969.
[3] Prager, J. Optimization, Theory and Applic. 6 pp 1– (1970)
[4] ’Optimization of structures to satisfy flutter requirement’, Volume on Structural Dynamics, AIAA Structural Dynamic and Aeroelasticity Specialist Conference, AIAA New Orleans, Louisiana, 1969.
[5] Rubin, AIAA Jnl 8 pp 923– (1970)
[6] Zarghamee, AIAA Jnl 6 pp 749– (1968)
[7] Zarghamee, J. Struct. Div. Am. Soc. civ. Engrs 96 pp 1697– (1970)
[8] McCart, AIAA Jnl 8 pp 1012– (1970)
[9] ’Two method of optimal structural design,’ in Developments in Mechanics, Vol. 5, Iowa State University Press, Ames, 1969.
[10] and , Energy Distribution in an Optimum, Structural Design, Report AFFDL TR 68-157, Air Force Flight Dynamics Laboratory, Air Force Systems Command, Wright-Patterson Air Force Base, Ohio, 1969.
[11] and , ’Structural optimization in the dynamics response regime’, Volume on Structural Dynamics, AIAA Structural Dynamics and Aeroelasticity Specialist Conference, AIAA, New Orleans, Louisiana, 1969.
[12] Haug, J. appl. Mech. 34 pp 999– (1967) · Zbl 0153.55907 · doi:10.1115/1.3607869
[13] Bryson, J. appl. Mech. 29 pp 247– (1962) · Zbl 0112.20003 · doi:10.1115/1.3640537
[14] and , Applied Optimal Control, Blaisdell, Waltham, Massachusetts, 1969.
[15] Computer Aided Design of Mechanical Systems, U. S. Army Material Command Design Handbook, to be published.
[16] ’Lightweight Structural design in weapon system development’, Proceedings, Army Symposium on Solid Mechanics, 1970–Lightweight Structures, Army Mechanics Research Center, Watertown, Massachusetts, 1970.
[17] and , Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, New York, 1968, p. 19.
[18] Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966.
[19] Some Perturbation Results in the Theory of Unbounded Operators, Technical Note SY-TN2-70, Systems Analysis Directorate, H. Q., U. S. Army Weapons Command, Rock Island, Illinois, 1970.
[20] Theory of Matrix Structural Analysis, McGraw-Hill, New York, 1968.
[21] and , Theory of plate and Shell, McGraw-Hill, New York, 1959.
[22] Optimum Design of Elastic Structures Under Multiple Constraint Conditions, Ph. D. Thesis, University of Iowa, 1971.
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