Premium
Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems
Author(s) -
Hlaváček I.,
Lovíšek J.
Publication year - 2011
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.201000238
Subject(s) - mathematics , mathematical analysis , rotational symmetry , exponent , convergence (economics) , mathematical optimization , geometry , philosophy , linguistics , economics , economic growth
Optimal design of a simply supported functionally graded axisymmetric circular plate resting on several inner rigid rings is presented in Part I. The variable thickness and the exponent of the power‐law of the grading function are to be optimized. In Part II the approximate state problem and approximate optimal design problems are introduced, using spaces of linear and cubic Hermite splines, respectively. We prove the existence of approximate solutions and the convergence of a subsequence of the solutions to a solution of the original continuous optimal design problem.