Three-Dimensional Solution of the Free Vibration Problem for Metal-Ceramic Shells Using the Method of Sampling Surfaces

The possibility of using the method of sampling surfaces (SaS) for solving the free vibration problem of threedimensional elasticity for metal-ceramic shells is studied. According to this method, in the shell body, an arbitrary number of SaS parallel to its middle surface are selected in order to ta...

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Bibliographic Details
Published in:Mechanics of composite materials 2017-03, Vol.53 (1), p.31-44
Main Authors: Kulikov, G. M., Plotnikova, S. V.
Format: Article
Language:English
Subjects:
Ceramics
Cermets
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Composite materials
Composites
Cylindrical shells
Glass
Materials Science
Methods
Natural Materials
Solid Mechanics
Vibration (Physics)
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Summary:The possibility of using the method of sampling surfaces (SaS) for solving the free vibration problem of threedimensional elasticity for metal-ceramic shells is studied. According to this method, in the shell body, an arbitrary number of SaS parallel to its middle surface are selected in order to take displacements of these surfaces as unknowns. The SaS pass through the nodes of a Chebyshev polynomial, which improves the convergence of the SaS method significantly. As a result, the SaS method can be used to obtain analytical solutions of the vibration problem for metal-ceramic plates and cylindrical shells that asymptotically approach the exact solutions of elasticity as the number of SaS tends to infinity.
ISSN:0191-5665
1573-8922
DOI:10.1007/s11029-017-9638-z