Structural optimization using the Newton modified barrier method | Zendy

N. S. Khot | Zendy; Roman A. Polyak | Zendy; Rina Schneur | Zendy; L. Berke | Zendy

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Structural optimization using the Newton modified barrier method

Author(s) -

N. S. Khot,

Roman A. Polyak,

Rina Schneur,

L. Berke

Publication year - 1995

Publication title -

structural optimization

Language(s) - English

Resource type - Journals

eISSN - 1436-2503

pISSN - 0934-4373

DOI - 10.1007/bf01742593

Subject(s) - lagrange multiplier , newton's method , mathematical optimization , rate of convergence , nonlinear programming , convergence (economics) , mathematics , nonlinear system , constraint algorithm , computer science , key (lock) , physics , computer security , quantum mechanics , economics , economic growth

The Newton Modified Barrier Method (NMBM) is applied to structural optimization problems with large a number of design variables and constraints. This nonlinear mathematical programming algorithm was based on the Modified Barrier Function (MBF) theory and the Newton method for unconstrained optimization. The distinctive feature of the NMBM method is the rate of convergence that is due to the fact that the design remains in the Newton area after each Lagrange multiplier update. This convergence characteristic is illustrated by application to structural problems with a varying number of design variables and constraints. The results are compared with those obtained by optimality criteria (OC) methods and by the ASTROS program.

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