The direct boundary element method in plate bending

Autor:	R. Zotemantel, F. Hartmann
Rok vydání:	1986
Předmět:	Numerical Analysis Applied Mathematics Mathematical analysis General Engineering Bending of plates Singular integral Boundary knot method Hermitian matrix Classical mechanics Deflection (engineering) Principal value Analytic element method Boundary element method Mathematics
Zdroj:	International Journal for Numerical Methods in Engineering. 23:2049-2069
ISSN:	1097-0207 0029-5981
DOI:	10.1002/nme.1620231106
Popis:	The direct boundary element method based on the Rayleigh-Green identity is employed for the static analysis of Kirchhoff plates. The starting point is a slightly modified version of Stern's equations. The focus is on the implementation of the method for linear elements and a Hermitian interpolation for the deflection w. The concept of element matrices is developed and the Cauchy principal values of the singular integrals are given in detail. The treatment of domain integrals, the handling of internal supports, the properties of the solution and the effect of singularities are discused. Numerical examples illustrate the various techniques. In the appendix the influence functions for the second and third derivatives of the deflection w are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::40079c1261106fa6bbc064935d3e2365 https://doi.org/10.1002/nme.1620231106 Zobrazit plný text záznamu Plný text