On problems with solution-dependent load

• Autorzy: Bogacz R. , Frischmuth K.

Identyfikatory

DOI

10.15632/jtam-pl.56.2.435

• Języki publikacji: EN

Abstrakty

EN

In Continuum Physics, general balance problems between internal fluxes and external sources are considered, mostly on some domain Ω called a material body. Typically, the fluxes are determined by a wanted field – the solution or configuration of the body, possibly augmented by derivatives or other suitable quantities specifying the state of the system. In order to obtain a closed problem formulation, initial and boundary conditions need to be provided as well. In this paper, we discuss some issues appearing in the case that the sources, e.g. forces in a mechanical problem, are not known in advance, but related to the wanted configuration in terms of values and/or derivatives of the solution. An analogy between thermodynamic and mechanical problems is shown.

Słowa kluczowe

EN

feedback; dynamics; stabilty; columns; follower forces

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 2
• Strony: 435--446
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Bogacz R.

• Warsaw University of Technology, Faculty of Automative and Construction Machinery Engineering, Warsaw, Poland

autor

Frischmuth K.

• University of Rostock, Institute of Mathematics, Rostock, Germany

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).