Free Axisymmetric Vibrations of Cylindrical Shells Made of Functionally Graded Materials

The free axisymmetric vibrations of cylindrical shells made of a functionally graded material and subject to various boundary conditions are studied using the three-dimensional theory of elasticity and the Timoshenko–Mindlin refined theory of shells. The possibility of applying the refined theory to...

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Bibliographic Details
Published inInternational applied mechanics Vol. 51; no. 6; pp. 654 - 663
Main Authors Grigorenko, A. Ya, Efimova, T. L., Korotkikh, Yu. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2015
Springer
Subjects
Applications of Mathematics
Classical Mechanics
Physics
Physics and Astronomy
cylindrical shell
functionally graded materials
three-dimensional theory of elasticity
Timoshenko–Mindlin shell theory
free axisymmetric vibrations
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Summary:The free axisymmetric vibrations of cylindrical shells made of a functionally graded material and subject to various boundary conditions are studied using the three-dimensional theory of elasticity and the Timoshenko–Mindlin refined theory of shells. The possibility of applying the refined theory to shells made of a material with properties gradually varying over the thickness is examined. The influence of different laws of variation in mechanical properties on the dynamic characteristics of cylindrical shells during axisymmetric vibrations is studied. The numerical results presented in the form of tables and graphs are analyzed
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-015-0722-6