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G. Vanderplaats, E. Salajegheh (1988)
An efficient approximation technique for frequency constraints in frame optimizationInternational Journal for Numerical Methods in Engineering, 26
E. Salajegheh, G. Vanderplaats (1987)
An Efficient Approximation Method for Structural Synthesis with Reference to Space StructuresInternational Journal of Space Structures, 2
L. Schmit, H. Miura (1976)
Approximation concepts for efficient structural synthesis
G. Vanderplaats, E. Salajegheh (1989)
New Approximation Method for Stress Constraints in Structural SynthesisAIAA Journal, 27
E. Salajegheh, G. Vanderplaats (1993)
Efficient Optimum Design of Structures with Discrete Design VariablesInternational Journal of Space Structures, 8
C. Fleury, V. Braibant (1986)
Structural optimization: A new dual method using mixed variablesInternational Journal for Numerical Methods in Engineering, 23
L. Schmit, C. Fleury (1980)
Discrete-continuous variable structural synthesis using dual methodsAIAA Journal, 18
E. Salajegheh (1981)
Optimum design of double-layer grids
E. Salajegheh, G. Vanderplaats (1993)
Optimum design of trusses with discrete sizing and shape variablesStructural optimization, 6
J. Cleave (1984)
Numerical Optimization Techniques for Engineering Design: with Applications. G. N. Vanderplaats. McGraw-Hill Book Company, New York. 1984. 333 pp. Illustrated. £31.75.The Aeronautical Journal (1968), 88
The purpose of this work is to present an efficient method for optimum design of frame structures, using approximation concepts. A dual strategy in which the design variables can be considered as discrete variables is used. A two‐level approximation concept is used. In the first level, all the structural response quantities such as forces and displacements are approximated as functions of some intermediate variables. Then the second level approximation is employed to convert the first‐level approximation problem into a series of problems of separable forms, which can be solved easily by dual methods with discrete variables. In the second‐level approximation, the objective function and the approximate constraints are linearized. The objective of the first‐level approximation is to reduce the number of structural analyses required in the optimization problem and the second level approximation reduces the computational cost of the optimization technique. A portal frame and a single layer grid are used as design examples to demonstrate the efficiency of the proposed method.
International Journal for Numerical Methods in Engineering – Wiley
Published: May 15, 1996
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