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Vibration response for a multilayer cylinder
Author(s) -
David H. Chambers
Publication year - 2007
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/902350
Subject(s) - cylinder , surface (topology) , concentric , geometry , moduli , physics , vibration , lambda , materials science , optics , mathematics , acoustics , quantum mechanics
Consider a circular cylinder composed of N concentric layers of materials. Each layer is characterized by its material density {rho}{sub n}, and elastic moduli {lambda}{sub n} and {mu}{sub n} (n = 1,...,N). The interfaces between layers are specified by the radii R{sub 0}, R{sub 1},..., R{sub n}, with R{sub 0} the inner surface and R{sub N} the outer surface of the cylinder

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