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Maximization of the fundamental frequency of plates and cylinders

This work deals with the maximization of the fundamental frequency of laminated plates and cylinders by finding the optimal stacking sequence for symmetric and balanced laminates with neglectable bending–twisting and torsion–curvature couplings are considered. Instead of using the angle at each ply the so-called lamination parameters are used as design variables. Results for the plate problem are compared to those using analytical expressions found in the literature. The cylinder problem is solved for a large number of thickness and radius-to-length ratio combinations. Values of the optimal stacking sequence are given considering the angle can take any value between 0° and 90° or the case when the angle can only take a discrete set of values

The authors acknowledge funding from the Spanish government through the Ministerio de Economía y Competitividad under contract MAT2013-46749-R

Elsevier

Manager: Ministerio de Economía y Competitividad (Espanya)
Author: Trias Mansilla, Daniel
Maimí Vert, Pere
Blanco Villaverde, Norbert
Abstract: This work deals with the maximization of the fundamental frequency of laminated plates and cylinders by finding the optimal stacking sequence for symmetric and balanced laminates with neglectable bending–twisting and torsion–curvature couplings are considered. Instead of using the angle at each ply the so-called lamination parameters are used as design variables. Results for the plate problem are compared to those using analytical expressions found in the literature. The cylinder problem is solved for a large number of thickness and radius-to-length ratio combinations. Values of the optimal stacking sequence are given considering the angle can take any value between 0° and 90° or the case when the angle can only take a discrete set of values
The authors acknowledge funding from the Spanish government through the Ministerio de Economía y Competitividad under contract MAT2013-46749-R
Document access: http://hdl.handle.net/2072/298915
Language: eng
Publisher: Elsevier
Rights: Tots els drets reservats
Subject: Optimització matemàtica
Mathematical optimization
Anàlisi matemàtica
Mathematical analysis
Làmines (Enginyeria)
Shells (Engineering)
Title: Maximization of the fundamental frequency of plates and cylinders
Type: info:eu-repo/semantics/article
Repository: Recercat

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