Premium
Free vibrations of thin annular plates made from functionally graded material
Author(s) -
Wirowski Artur
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910104
Subject(s) - vibration , perpendicular , microstructure , vibration of plates , materials science , phase (matter) , material properties , mathematical analysis , mechanics , space (punctuation) , physics , phase difference , free space , geometry , mathematics , composite material , optics , acoustics , computer science , operating system , quantum mechanics
Subject of the consideration is thin annular plate made of a two‐phase functionally graded composte. The plate has periodically inhomogeneous microstructure slowly varying in space: the λ‐periodic structure along circular coordinate, but smoothly graded apparent (averaged) properties in the perpendicular, radial direction. The aim of the contribution is to derive and apply a deterministic macroscopic model describing the free vibrations of this plate. Modeling procedure is based on tolerance averaging technique. We received, equations system with smooth coefficients. We made numerical solution of this problem, using finite difference method, and analyze influence of material proportion and microstructure size on first frequency of free vibrations. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)