Niekonserwatywne problemy stateczności płyt pierścieniowych

• Autorzy: Gajewski A.

Warianty tytułu

EN

Non-conservative stability problems of annular plater

• Języki publikacji: PL

Abstrakty

PL

W niniejszym artykule: 1 - zbadano zależności krzywych charakterystycznych (tzn. zależności części rzeczywistej i części urojonej zespolonej częstości drgań od obciążenia) od współczynnika śledzenia dla pierścieniowej płyty o stałej grubości, ściskanej niekonserwatywnymi siłami równomiernie rozłożonymi na brzegu zewnętrznym płyty, w warunkach nieliniowego pełzania; 2 - wyznaczono zależności obciążenia krytycznego od współczynnika śledzenia; 3 - zbadano wpływ nieliniowych własności reologicznych materiału płyty na jej stateczność i drgania. Aby zastosować kinetyczne kryterium stateczności, analizowano małe, liniowe drgania ukła-du, nałożone na stan przedkrytyczny (stan membranowy) płyty. Obciążenie krytyczne okreś-lano na podstawie kryterium Lapunowa.

EN

In the paper the following problems have been considered: 1 - the dependence of the characteristic curves (i.e. real and imaginary parts of complex frequencies of vibration versus the compressive force) on the tangency coefficient for an annular plate of constant thickness, compressed by uniformly distributed non-conservative loadings; 2 - the relationship between the critical loading and the tangency coefficient; 3 - the influence of non-linear rheological properties of material on vibration and stability of the plate. In order to use the kinetic criterion of stability, the small, linear vibrations superposed on the pre-critical membrane state have been analyzed. The critical loading has been determined on the basis of Lyapunov criterion.

Słowa kluczowe

PL

drgania; nikonserwatywne zagadnienia; płyty pierścieniowe; stateczność

EN

annular plates; non-conservative problems; stability; vibration

• Wydawca: Wydawnictwo Politechniki Krakowskiej im. Tadeusza Kościuszki
• Czasopismo: Czasopismo Techniczne. Mechanika
• Rocznik: 2008
• Tom: R. 105, z. 4-M
• Strony: 43--59
• Opis fizyczny: Bibliogr. 39 poz.,Wykr., wz.,

Twórcy

autor

Gajewski A.

• Instytut Fizyki, Wydział Fizyki, Matematyki i Informatyki Stosowanej, Politechnika Krakowska

Bibliografia

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