Optimal Design of Elastic Structures Subjected to Dynamic, Harmonically‐Varying Loads
- 1 January 1970
- journal article
- research article
- Published by Wiley in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Vol. 50 (5) , 303-309
- https://doi.org/10.1002/zamm.19700500505
Abstract
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.Keywords
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