Abstract
During recent years a considerable progress has been made in methods of minimum-weight design of structures. This is due to the progress in mathematical optimization methods as well as to development of more efficient computer facilities. The most impressive are results obtained in elastic design of multiple bar trusses with constraints of various nature [1–6].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Gallagher, R. H., Zienkiewicz, O. C: Optimum Structural Design, Theory and Applications, London, New York, Sydney, Toronto: Wiley 1973.
Moses, F., Onodo, S.: Minimum Weight Design of Structures with Application to Elastic Grillages. Int. J. Num. Meths. Eng. 1, 311–331 (1969).
Kavlie, D., Moe, J.: Application of Non-Linear Programming to Optimum Grillage Design. Int. J. Num. Meths. Eng. 1, 351–378 (1969).
Vanderplaats, G. N.: Automated Design of Trusses for Optimum Geometry. J. Struct. Div. 98, ST3, 671–690 (1972).
Majid, K. I., Anderson, D.: Optimum Design of Hyperstatic Structures. Int. J. Num. Meths. Eng. 4, 561–578 (1972).
Majid, K. I., Elliot, D. W. C.: Topological Design of Pin Jointed Structures by Non-Linear Programming. Proc. Inst. Civil Eng., March 1973, 55, part 2.
Foulkes, J.: Minimum Weight Design and the Theory of Plastic Collapse. Quart. Appl. Math. 10, 347–358 (1953).
Shield, R. T.: Optimum Plastic Design for Multiple Loading. ZAMP 14, 38–45 (1963).
Kozlowski, W., Mróz, Z.: Optimal Design of Solid Plates. Int. J. Solids and Structs. 5, 781–794 (1968).
Cohn, M. Z., Parimi, S. R.: Optimal Design of Plastic Structures for Fixed and Shakedown Loadings. J. Appl. Meeh. 40, 595–599 (1972).
Zavellani-Rossi, A.: Minimum Weight Design for Two-Dimensional Bodies. Meccanica 4, 364–373 (1969).
Martin, J. B.: The Optimal Design of Ek,stie Structures for Multipurpose Loading. J. Optimization Theory and Appls. 6, 22–40 (1970).
König, J. A.: Optimum Design of Plates for Cyclic Loadings (in Polish). Arch. Bud. Masz. 18, 575–589 (1971).
Maier, G., Zavellani-Rossi, A.: A Finite Element Approach to Optimal Design of Plastic Discs, Publ. 482, Istituto di Scienza e Tecnica delle Costru-zioni del Politecnico di Milano.
Heyman, J., Johnson, R. P., Fowler, P. P., Gillson, I. P.: Shakedown Analysis, the Design of 275 kV Switchhouse. The Structural Engineer 46, 97–106 (1968).
Gokhfeld, D. A.: Carrying Capacity of Structures in Conditions of Temperature Variations (in Russian). Izd. Mashinostroyenye, Moscow, 1970.
Maier, G.: A Shakedown Matrix Theory Allowing for Workhardening and Second-Order Geometric Effects. Int. Symp. Found. of Plasticity, Warsaw 1972, Ed. A. Sawczuk, Leyden: Noordhoff 1973, pp. 417–433.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag, Berlin/Heidelberg
About this paper
Cite this paper
König, J.A. (1975). On Optimum Shakedown Design. In: Sawczuk, A., Mróz, Z. (eds) Optimization in Structural Design. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80895-1_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-80895-1_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-80897-5
Online ISBN: 978-3-642-80895-1
eBook Packages: Springer Book Archive