Dynamic stability of micro-periodic cylindrical shells

• Autorzy: Tomczyk B.
• Języki publikacji: EN

Abstrakty

EN

The object of considerations are thin linear-elastic Kirchhoff-Love-type circular cylindrical shells having a micro-periodic structure along one direction tangent to the shell midsurface. Shells of this kind are called uniperiodic. The aim of this paper is twofold. First, we formulate an averaged non-asymptotic model for the analysis of dynamical stability of periodic shells under consideration, which has constant coefficients and takes into account the effect of a cell size on the overall shell behavior. This model is derived employing the tolerance modeling procedure. Second, we apply the obtained model to derivation of frequency equations being a starting point in the analysis of dynamical shell stability. The effect of the microstructure length on these frequency equations is discussed. The system of two the second-order ordinary differential frequency equations being a certain generalization of the known Mathieu equation is obtained. This system reduces to the Mathieu equation provided that the length-scale effect is neglected. Moreover, in the framework of the tolerance model proposed here the new additional higher-order free vibration frequencies and the new additional higher-order critical forces are derived. These frequencies and critical forces cannot be obtained from the asymptotic models commonly used for investigations of the shell stability.

Słowa kluczowe

EN

micro-periodic cylindrical shells; dynamical stability; mathematical modelling; length-scale effect

PL

mikroperiodyczne powłoki cylindryczne; stateczność dynamiczna; modelowanie matematyczne

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2010
• Tom: Vol. 14, nr 2
• Strony: 351--374
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Tomczyk B.

• Department of Structural Mechanics, Technical University of Łódź, al. Politechniki 6, 90-924 Łódź, PL

Bibliografia

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