Research Article
Aug 1970
Minimum Weight Design with Stability Constraint
Publication: Journal of the Structural Division
Volume 96, Issue 8
Abstract
The problem of minimum weight design of structures composed of finite elements each having a finite number of degrees of freedom and subject to a critical buckling load constraint is formulated as in nonlinear programming. Employing the accelerated cutting plane method of Wolfe, all constraints except the general buckling load constraint are expressed by linear inequalities. A method for the solution of this problem is developed which differs from the projected gradient method only in the way the direction of motion is selected once the nonlinear constraint is encountered. The method involves first moving in the direction of the projected gradient, and then returning to this region on the hyperplane of constant weight along the projection of the buckling-constraint gradient. The method is applied to the minimum weight design of a built-up column of varying width.
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Published In
Journal of the Structural Division
Volume 96 • Issue 8 • August 1970
Pages: 1697 - 1710
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Aug 1970
Published online: Feb 1, 2021
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Mehdi S. Zarghamee, AM.ASCE
Assoc. Prof. of Math., Arya-Mehr Univ. of Technol., Tehran, Iran
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.