Abstract
Present paper is an extended review of results previously obtained by the authors, supplemented by some new results dealing with the optimal segmentation of columns. Particular attention is paid to the optimal support location as well as the elastic, viscous and dynamical parameters of the supporting elements. Since the resulting boundary value problem is non-selfadjoint and a switch-over effect of the characteristic curves may occur, generally only local optimization is possible. To solve the problem, a certain gra-dient procedure combined with the transfer matrix technique has been used. Such a pro-cedure relies on minimizing the cost functional for a given value of the critical load or maximizing the load if the total cost is given. Some generalizations of Beck-Reut’s problem are investigated.
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Bogacz, R., Mahrenholtz, O. (1989). Optimization of Supporting Conditions for Columns Subjected to Nonconservative Loads. In: Eschenauer, H.A., Thierauf, G. (eds) Discretization Methods and Structural Optimization — Procedures and Applications. Lecture Notes in Engineering, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83707-4_10
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DOI: https://doi.org/10.1007/978-3-642-83707-4_10
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