Exact Elasticity Solution for Axisymmetric Deformation of Circular Plates

Autor:	Jiann-Quo Tarn, W.-D. Tseng
Rok vydání:	2015
Předmět:	Physics Applied Mathematics Mechanical Engineering Mathematical analysis Rotational symmetry Separation of variables Eigenfunction Elasticity (physics) Condensed Matter Physics Symplectic geometry
Zdroj:	Journal of Mechanics. 31:617-629
ISSN:	1811-8216 1727-7191
DOI:	10.1017/jmech.2015.37
Popis:	We present an exact analysis of axisymmetric bending of circular plates according to elasticity theory. On the basis of Hamiltonian state space approach, a rigorous solution of the problem is determined by means of separation of variables and symplectic eigenfunction expansion in a systematic way. The thickness effect on bending of circular plates and the applicability of the classical plate solutions for the problem are evaluated accordingly.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b9b3fce95ca2867d86b301b41360b049 https://doi.org/10.1017/jmech.2015.37 Zobrazit plný text záznamu