Bending of sector plates on elastic foundations by Bessel functions

Citation
Yh. Zhou et al., Bending of sector plates on elastic foundations by Bessel functions, J ENG MEC, 126(6), 2000, pp. 653-655
Citations number
12
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF ENGINEERING MECHANICS-ASCE
ISSN journal
07339399 → ACNP
Volume
126
Issue
6
Year of publication
2000
Pages
653 - 655
Database
ISI
SICI code
0733-9399(200006)126:6<653:BOSPOE>2.0.ZU;2-K
Abstract
A series solution approach based on the complex Bessel functions is present ed in this paper for the analysis of bending of annual sector plates that a re simply supported along their straight (or radial) edges, resting on Wink ler-type elastic foundations. After a real general solution to a homogeneou s differential equation of the bending plates is derived from the complex B essel functions, the solution to the nonhomogeneous differential equation m ay be formulated by the general solution. Finally, some numerical examples are given to show the feasibility of this approach.