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Optimal Design of an Elastic Plate with Unilateral Elastic Foundation and Rigid Supports, Using the Reissner‐Mindlin Plate Model. II: Approximate Problems
Author(s) -
Hlaváček I.,
Lovíšek J.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770708
Subject(s) - mathematics , stiffness , convergence (economics) , foundation (evidence) , piecewise , affine transformation , plate theory , mathematical analysis , minification , structural engineering , mathematical optimization , geometry , engineering , boundary value problem , archaeology , economics , history , economic growth
Approximate optimal design and weight minimization problems are proposed, making use of mixed‐interpolated finite elements methods. The design variables — i.e., the thickness of the plate and the stiffness of the foundation are approximated by piecewise affine functions. The solvability of the approximate problems is proved and some convergence analysis is presented.