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Optimal Design of Elastic Structures Subjected to Dynamic, Harmonically‐Varying Loads
Author(s) -
Mróz Z.
Publication year - 1970
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.19700500505
Subject(s) - stiffness , boundary value problem , perturbation (astronomy) , optimal design , mathematics , structural engineering , mathematical analysis , mathematical optimization , computer science , engineering , physics , statistics , quantum mechanics
Optimal design of elastic structures subjected to one or several dynamic, harmonically‐varying load systems is discussed assuming the notion of dynamic stiffness as the design criterion. A generalized variational principle is used in deriving the necessary and sufficient conditions of optimal design. Sandwich and solid beams and plates are discussed and the difference of formulation of optimization problem for sandwich and solid sections is emphasized. The method of perturbation is applied to solve particular boundary‐value problems.