Bilevel limit analysis of self-hardening rod systemsunder moving load

• Autorzy: Alawdin P. , Urbańska K.
• Języki publikacji: EN

Abstrakty

EN

This paper considers results of an analysis of self-hardening systems (SHS), i.e. load-carrying systemswith improved strength and rigidity. The indicated structural features can be only found if geometricalnonlinearity is taken into consideration. Material deforming diagrams can be non-monotonic and non-smooth, and constraints can be unilateral, with gaps. Furthermore, optimisation of a mathematical modelof a rod structure as a discrete mechanical system withstanding dead (constant) and/or moving loadsis proposed. This model is formulated using bilevel mathematical programming. The limit parametersof standard loads and actions are found in the low-level optimisation. An extreme energy principle isproposed to obtain the limit parameters of these actions. Onthe upper level, the parameters of movingload are maximized. A positive influence of equilibrium or quasi-equilibrium constant load with the possiblepreloading of SHS is shown. A set of criteria for the stability of plastic yielding of structures, including non-smooth and non-convex problems of optimisation is given. The paper presents an exemplary application of the proposed method which takes into account the self-hardening effect.

Słowa kluczowe

EN

self-hardening system; bilevel programming; limit analysis; constant equilibrium; moving load

PL

system samoutwardzania; programowanie dwustopniowe; analiza limitów; stała równowagi; ruch

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2017
• Tom: Vol. 24, no. 4
• Strony: 225--238
• Opis fizyczny: Bibliogr. 15 poz., il., rys., wykr.

Twórcy

autor

Alawdin P.

• Department of Civil Engineering Faculty of Civil and Environmental Engineering University of Zielona Góra Prof. Z. Szafrana 1, 65-516, Zielona Góra, Poland

autor

Urbańska K.

• Department of Civil Engineering Faculty of Civil and Environmental Engineering University of Zielona Góra Prof. Z. Szafrana 1, 65-516, Zielona Góra, Poland

Bibliografia

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