Abstract
Present paper is an extended review of results previously obtained by the authors, supplemented by some new results dealing with the Beck - Reut column optimization. The possibility of determination of a shape of column with the critical load higher than considered so far as “optimal” is presented.
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References
Niordson F.I., ‘The Optimal Design of Vibrating Beam’. Quarterly of App. Maths. 23, 1965, pp. 47–53.
Prager W. and Taylor J.E., ‘Problems of Optimal Structural Design’. J. App. Mech. 35, 1968, pp. 102–106.
Zyczkowski M. and Gajewski A., ‘Optimal Structural Design’ in: Non-Conservative Problems of Elastic Stability. Proc. IUTAM Symp. Herrenalb/Karlsruhe 1969, Springer Verlag 1971, pp. 295–301.
Gajewski A. and Zyczkowski M., ‘Optimal Design of Elastic Columns Subjected to General Conservative Behaviour of Loading’. ZAMP 21. 5, 1970, pp. 187–198.
Vepa K., Optimally Stable Structural Forms. University of Waterloo, Febr. 1972.
Claudon J. L., ‘Characteristic Curves and Optimum Design of Two Structures Subjected to Circulatory Loads’. J. de Mechanique 14. 3, 1975, pp. 531–543.
Plaut R., ‘Optimal Design for Stability under Dissipative, Gyroscopic and Circulatory Loads’. Optimization in Structural Design, Warsaw 1973, Springer-Verlag 1975, pp. 168–180.
Bogacz R., Irretier H. and Mahrenholtz O., ‘Optimal Design of Structures under Non-Conservative Forces with Stability Constraints’. Bracketing of Eigenfrequencies of Continous Structures, Proc. Euromech 112, Hungary 1979, pp. 43–65.
Bogacz R. and Mahrenholtz O., ‘Optimally Stable Structures Subjected to Follower Forces’.In: Structural Control, Ed. H.H.E. Leipholz, North-Holland P.C. 1980, pp.l39–157.
Leipholz H.H.E., ‘On Variational Principle for the Clamped-Free Rod Subjected to Tangential Follower Forces’. Mech. Res. Comm. 5, 1978, pp. 335–359.
Hanaoka M. and Washizu K., ‘Optimum Design of Beck’s Column’. Computer and Structures, 11, 1980, pp. 473–480.
Błachut J. and Gajewski A., ‘Unimodal and Bimodal Optimization of Vibrating Rods and Arcs’. Proc. Conf. on Optimization, Ossolineum, Wrocław 1983.
Kounadis A.N., ‘Divergence and Flutter Instability of Elastically Restrained Structures under Follower Forces’. Int. J. Engng. Sci.,19, 1981, pp. 553–562.
Bogacz R. and Mahrenholtz O., ‘Modal Analysis in Application to Design of Inelastic Structures Subjected to Circulatory Loading’. Inelastic Structures under Variable Load. Ed. C. Polizzotto and A. Sawczuk, COGRAS-Palermo 1984, pp. 377–386.
Lottati I. and Kornecki A., ‘The Effect of an Elastic Foundation and of Dissipative Forces on Stability of Fluid-Conveying Pipes’.J. of Sound and Vibr. 109. 2,1986, pp. 327–338.
Bogacz R. and Mahrenholtz O., ‘On the Optimal Design of Viscoelastic Structures Subjected to Circulatory Loading’. In: Optimization Methods in Structural Design. Ed. H. Eschenauer, Wissenschaftsverlag 1983, pp. 281–288.
Bogacz R., Niespodziana A., ‘On Stability of Continuous Column with Localized Loss of Stiffness’(in Polish). IFTR Reports, 27,1987, pp. 3–23.
Bogacz R., Imiełowski S., ‘Stability of Column with Localized Discontinuity of Displacements Subjected to Circulatory Load (in Polish). IFTR Reports, 1988.
Bogacz R., Mahrenholtz O., ‘On Stabilityof a Column under Circulatory Load’. Arch, of Mechanics. 38. 3, 1986. pp. 281–287.
Mahrenholtz O., Bogacz R., ‘On Configuration of Characteristic Curves for Optimal Structures under Non-Conservative Loads’. Ing.-Archiv, 50, 1981, pp. 141–148.
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© 1988 Kluwer Academic Publishers
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Mahrenholtz, O., Bogacz, R. (1988). On the Optimal Design of Columns Subjected to Circulatory Loads. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_23
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DOI: https://doi.org/10.1007/978-94-009-1413-1_23
Publisher Name: Springer, Dordrecht
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