Stateczność dynamiczna trójwarstwowych płyt pierścieniowych z rdzeniem lepkosprężystym.
Ładowanie...
Data
2010
Autorzy
Tytuł czasopisma
ISSN czasopisma
Tytuł tomu
Wydawca
Wydawnictwo Politechniki Łódzkiej
Abstrakt
Rozwiązanie zagadnienia ugięć warstwowych, w tym trójwarstwowych,
przekładkowych płyt pierścieniowych prowadzące do oceny ich obciążeń krytycznych
jest bardzo często ograniczone do rozwiązania szczególnego przypadku
płyt, których postać wyboczenia jest obrotowo symetryczna. Możliwość utraty
stateczności płyty poddanej obciążeniom działającym zwłaszcza na jej zewnętrzny
brzeg, w postaci kilku lub nawet kilkunastu fal obwodowych odpowiadających
minimalnym wartościom obciążenia krytycznego, wymaga przeprowadzenia złożonego, ogólnego rozwiązania problemu i wykorzystania metod numerycznych.
The solution of the layered, in this work three-layered, annular plates leading to the evaluation of their critical loads is very often limited to the solution of the special case of plates with the axially-symmetrical form of buckling. The possibility of the loss of plate stability, particularly for plates loaded on the outer perimeter, in the form of several or even a dozen or so circumferential waves corresponding to the minimal value of plate critical load requires realization of the complex, general solution of the problem with using the numeric methods. The solution based on the approximate methods: orthogonalization and discretization with finite differences for three-layered plate structure composed of geometrically nonlinear, thin outer layers and soft, thicker core with viscoelastic properties is presented in this work. Obtained values of critical, static loads of plates and the time histories of maximum plate deflections are the results of calculations. The critical values of time, load and deflection, which determine the dynamic response of examined plate have been denoted for the accepted criterion of the loss of plate dynamic stability. The detailed analysis of plates critical behaviours have been conducted for various plate parameters, like: geometrical, material, connected with the load and initial shape imperfections. Among other things, one can take notice of the observed cases of decrease in the values of critical, dynamic loads below the values of critical static loads of plates.
The solution of the layered, in this work three-layered, annular plates leading to the evaluation of their critical loads is very often limited to the solution of the special case of plates with the axially-symmetrical form of buckling. The possibility of the loss of plate stability, particularly for plates loaded on the outer perimeter, in the form of several or even a dozen or so circumferential waves corresponding to the minimal value of plate critical load requires realization of the complex, general solution of the problem with using the numeric methods. The solution based on the approximate methods: orthogonalization and discretization with finite differences for three-layered plate structure composed of geometrically nonlinear, thin outer layers and soft, thicker core with viscoelastic properties is presented in this work. Obtained values of critical, static loads of plates and the time histories of maximum plate deflections are the results of calculations. The critical values of time, load and deflection, which determine the dynamic response of examined plate have been denoted for the accepted criterion of the loss of plate dynamic stability. The detailed analysis of plates critical behaviours have been conducted for various plate parameters, like: geometrical, material, connected with the load and initial shape imperfections. Among other things, one can take notice of the observed cases of decrease in the values of critical, dynamic loads below the values of critical static loads of plates.
Opis
Słowa kluczowe
stateczność dynamiczna, trójwarstwowa płyta pierścieniowa, rdzeń lepkosprężysty, ugięcia warstwowe, obciążenia krytyczne, ugięcia płyt