×

zbMATH — the first resource for mathematics

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

MSC:
74K99 Thin bodies, structures
PDF BibTeX XML Cite
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
[13] Bryson, J. appl. Mech. 29 pp 247– (1962) · Zbl 0112.20003
[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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.