Three-Dimensional Analysis of the Free Vibration of Thick Rectangular Plates With Depressions, Grooves or Cut-Outs

Autor:	Philippe Young, J. Yuan, S.M. Dickinson
Rok vydání:	1996
Předmět:	Physics::Instrumentation and Detectors Numerical analysis General Engineering Geometry Elasticity (physics) Kinetic energy law.invention Ritz method Vibration Parallelepiped law Cartesian coordinate system Boundary value problem Mathematics
Zdroj:	Journal of Vibration and Acoustics. 118:184-189
ISSN:	1528-8927 1048-9002
DOI:	10.1115/1.2889647
Popis:	A solution is presented for the free vibration of very thick rectangular plates with depressions, grooves or cut-outs using three-dimensional elasticity equations in Cartesian coordinates. Simple algebraic polynomials which satisfy the boundary conditions of the plate are used as trial functions in a Ritz approach. The plate is modelled as a parallelepiped, and the inclusions are treated quite straightforwardly by subtracting the contribution to the strain and kinetic energy expressions of the volume removed, before minimizing the functional. The approach is demonstrated by considering a number of square thick plate cases, including a plate with a cylindrical groove, a shallow depression or a cylindrical cut-out.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d46338be7da545d2b6570782a671cd5a https://doi.org/10.1115/1.2889647 Zobrazit plný text záznamu