OPTIMAL-DESIGN OF AN ELASTIC PLATE WITH UNILATERAL ELASTIC-FOUNDATIONAND RIGID SUPPORTS, USING THE REISSNER-MINDLIN PLATE MODEL .2. APPROXIMATE PROBLEMS

Citation
I. Hlavacek et J. Lovisek, OPTIMAL-DESIGN OF AN ELASTIC PLATE WITH UNILATERAL ELASTIC-FOUNDATIONAND RIGID SUPPORTS, USING THE REISSNER-MINDLIN PLATE MODEL .2. APPROXIMATE PROBLEMS, Zeitschrift fur angewandte Mathematik und Mechanik, 77(7), 1997, pp. 509-517
Citations number
10
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
ISSN journal
00442267
Volume
77
Issue
7
Year of publication
1997
Pages
509 - 517
Database
ISI
SICI code
0044-2267(1997)77:7<509:OOAEPW>2.0.ZU;2-A
Abstract
Approximate optimal design and weight minimization problems are propos ed, making use of mixed-interpolated finite elements methods. The desi gn variables - i.e., the thickness of tile plate and tile stiffness of tile foundation are approximated by piecewise affine functions. The s olvability of the approximate problems is proved and some convergence analysis is presented.