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Sensitivity analysis and shape optimization of axisymmetric structures

✍ Scribed by Tsu-Chien Cheu

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
534 KB
Volume
28
Category
Article
ISSN
0029-5981

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✦ Synopsis

SlJMMARY

An efficient method is developed for sensitivity analysis in shapc optimization of axisymmetric structures. The technique of isoparametric mapping is used to generate the finite element mesh from a small set of master clemcnts and master nodes. Co-ordinates of selected master nodes are used as design variables. Shapc function values of master elements at derived finite element nodes obtained during the isoparamctric mapping process are utilized to calculate the gradients of weight and response of the structurcs with respect to the design variables. Analytic formulations of the gradients are developed for scnsitivity analysis of axisymmetric structures. An optimization procedure using a sequential linear programming method is applied to effectively utilize the calculated gradients. Numerical examples of optimum design of disks subject to thermo-mechanical loadings are presented.

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