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Vibrations of thin cylindrical shells with a periodic structure
Author(s) -
Tomczyk Barbara
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810349
Subject(s) - vibration , tangent , shell (structure) , microstructure , order (exchange) , mechanics , mathematical analysis , physics , materials science , geometry , classical mechanics , mathematics , composite material , acoustics , finance , economics
Free vibrations of thin linear–elastic Kirchhoff–Love cylindrical shells, having a periodic structure along one direction tangent to the shell midsurface, is considered. In order to take into account the effect of the periodicity cell size in this problem, a new averaged non–asymptotic model of such shells, proposed by Tomczyk (2006), is applied. The new additional higher–order free vibration frequencies dependent on the microstructure size will be derived and discussed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)