Transient Response of Transversely Isotropic Composite Plates to a Point Source

Autor:	Arvind H. Shah, A. Mahmoud, Stanley B. Dong
Rok vydání:	2005
Předmět:	Steady state Mechanical Engineering Mathematical analysis Plane wave Geometry Condensed Matter Physics Integral equation symbols.namesake Fourier transform Mechanics of Materials Transverse isotropy Composite plate symbols Transient response Transient (oscillation) Mathematics
Zdroj:	Journal of Applied Mechanics. 73:338-341
ISSN:	1528-9036 0021-8936
DOI:	10.1115/1.2070007
Popis:	In this paper, transient three-dimensional response of a transversely isotropic composite plate to a time varying point load is efficiently computed by reducing the elastodynamic equation through integral and coordinate transformations to a series of two-dimensional problems, each associated with a plane wave along a given direction in the plate. Discrete equations of a semi-analytical finite element model are solved for the thickness profile eigendata at a given frequency. Three-dimensional steady state responses in the wave number domain are formed by summing contributions from eigenmodes over propagation directions. The transient response is obtained by a numerical integration of inverse Fourier time transform of these steady state responses. Present results showed good agreement with data reported in the literature and confirmed previously observed phenomena.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::014032bae84e73884854b93babf03c6e https://doi.org/10.1115/1.2070007 Zobrazit plný text záznamu