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Panel flutter optimization by gradient projection
Author(s) -
Pierson B. L.
Publication year - 1975
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620090203
Subject(s) - conjugate gradient method , flutter , constraint (computer aided design) , mathematics , projection (relational algebra) , transformation (genetics) , gradient method , mathematical optimization , nonlinear conjugate gradient method , simple (philosophy) , minimum weight , homogeneous , control theory (sociology) , mathematical analysis , gradient descent , algorithm , computer science , geometry , control (management) , mechanics , physics , aerodynamics , philosophy , artificial intelligence , chemistry , biochemistry , epistemology , machine learning , artificial neural network , statistics , gene , combinatorics
A gradient projection optimal control algorithm incorporating conjugate gradient directions of search is described and applied to several minimum weight panel design problems subject to a flutter speed constraint. New numerical solutions are obtained for both simply‐supported and clamped homogeneous panels of infinite span for various levels of inplane loading and minimum thickness. The minimum thickness inequality constraint is enforced by a simple transformation of variables.