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Optimization of large structures subjected to dynamic loads with the multiplier method
Author(s) -
Chahande A. I.,
Arora J. S.
Publication year - 1994
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.1620370304
Subject(s) - multiplier (economics) , mathematical optimization , mathematics , dynamic programming , lagrange multiplier , quadratic equation , dynamic equation , sequential quadratic programming , optimization problem , scale (ratio) , quadratic programming , computer science , algorithm , geometry , nonlinear system , physics , quantum mechanics , economics , macroeconomics
The multiplier method for optimization of large‐scale mechanical and structural systems subjected to dynamic loads is investigated. A large‐scale dynamic response optimization problem is formulated and solved in several alternate ways using the first‐ and second‐order forms of the equations of motion. Results are compared with those obtained with the sequential quadratic programming algorithm—a primal method. In all the cases investigated, the multiplier algorithm is more efficient than the primal method. Therefore, it is concluded that the multiplier method is more appropriate for dynamic response optimization of large‐scale problems.