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Further discrete variable results for a panel flutter optimization problem
Author(s) -
Pierson B. L.,
Russell S. S.
Publication year - 1973
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.1620070411
Subject(s) - flutter , supersonic speed , minification , convergence (economics) , multiplier (economics) , choked flow , mathematics , mathematical optimization , variable (mathematics) , constraint (computer aided design) , lagrange multiplier , optimization problem , control theory (sociology) , computer science , engineering , aerodynamics , mathematical analysis , geometry , control (management) , artificial intelligence , economic growth , economics , macroeconomics , aerospace engineering
Numerical solutions are presented for the problem of minimum weight design of a thin one‐dimensiona simply‐supported, solid panel in compression with one side exposed to a parallel high supersonic air flow. The flutter speed is held fixed, and a minimum thickness constraint is imposed. In addition, a multiplier technique is incorporated into the discrete variable minimization process to improve the convergence speed.