A new 2d single series model of transverse vibration of a multi-layered sandwich beam with perfectly clamped edges

• Autorzy: Karczmarzyk S.

Warianty tytułu

PL

Nowy dwuwymiarowy pojedyńczo szeregowy model drgań poprzecznych wielowarstwowej belki sandwiczowej z idealnie utwierdzonymi krawędziami

• Języki publikacji: EN

Abstrakty

EN

A new two-dimmensional, single series local model of the transverse vibration of a multi-layer, one-span sandwich beam composed of isotropic layers with ideally (perfectly) clamped ends is proposed in the paper. The model is derived within the local theory of linear elastodynamics and it is composed of two two-dimmensional fields and of two approximations of three-dimmensional fields satisfying exactly the equations of motion as well as the Saint-Venant compatibility equations of the theory. All through-the-thickness boundary conditions of the local theory of elastodynamics as well as all local compatibility equations (for the displacements and stresses) between adjoining layers are fulfiled in the model. Both the cross-sectional warping and the transverse compliance(s) in each layer of the beam are taken into account, thus the model is applicable to the classical three-layer sandwich beam and to a multi-layer sandwich or laminated narrow structure.

PL

W tej pracy jest przedstawiony nowy dwuwymiarowy, pojedyńczo szeregowy, lokalny model drgań poprzecznych wielowarstwowej, jednoprzęsłowej belki sandwiczo- wej, złożonej z warstw izotropowch, z idealnie utwierdzonymi końcami. Model ten, otrzymany w ramach lokalnej teorii liniowej elastodynamiki, składa się z dwóch pól dwuwymiarowych i dwóch aproksymacji pól trójwymiarowych spełniających ściśle równania ruchu oraz warunki zgodności Saint-Venanta. W modelu zostały spełnione wszystkie warunki brzegowe po grubości, jak również lokalne warunki ciągłości (przemieszczeń i naprężeń) między przylegającymi warstwami. Uwzględniono deplanacje przekrojowe, jak też poprzeczne podatności każdej warstwy i dlatego model ten jest stosowalny zarówno do klasycznej trójwarstwowej belki sandwiczowej, jak i do wielowarstwowej struktury sandwiczowej czy laminatowej.

Słowa kluczowe

EN

sandwich beam; perfect clamping; transverse vibration; local model

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2010
• Tom: Vol. 48 nr 3
• Strony: 789--812
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Karczmarzyk S.

• Warsaw University of Technology, Institute of Machine Design Fundamentals, Warszawa, Poland,

Bibliografia

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