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Minimum Weight Design of Structures under Nonconservative Forces
Abstract The paper deals with a method of determining minimum weight design of a structure subjected to nonconservative forces with stability constraints. The relatively simple solution algorithm based on Kuhn-Tucker necessary conditions is proposed. The procedure of scaling design variables for required critical loading and normalization condition for eigenvectors are introduced at each iterative step to overcome difficulties due to the high sensitivity fo the problem. The numerical example of Beck’s column shows efficiency of the proposed method which in this case gives the highest so far known value of the critical force with no additional constraints added on equality of two first critical loads.
Minimum Weight Design of Structures under Nonconservative Forces
Abstract The paper deals with a method of determining minimum weight design of a structure subjected to nonconservative forces with stability constraints. The relatively simple solution algorithm based on Kuhn-Tucker necessary conditions is proposed. The procedure of scaling design variables for required critical loading and normalization condition for eigenvectors are introduced at each iterative step to overcome difficulties due to the high sensitivity fo the problem. The numerical example of Beck’s column shows efficiency of the proposed method which in this case gives the highest so far known value of the critical force with no additional constraints added on equality of two first critical loads.
Minimum Weight Design of Structures under Nonconservative Forces
Gutkowski, W. (author) / Mahrenholtz, O. (author) / Pyrz, M. (author)
1993-01-01
13 pages
Article/Chapter (Book)
Electronic Resource
English
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