Maximization of Eigenvalues by Cnjugate Gradients

by Carlos A. Prato, Sr. Staff Engr.; Simpson Gumpertz & Heger Inc., Cambridge, MA, and Res. Assoc., MIT, Cambridge, MA,

Serial Information: Journal of the Structural Division, 1970, Vol. 96, Issue 1, Pg. 171-176

Document Type: Journal Paper


This work is concerned with an application of the conjugate gradient method (6)² to the maximization of eigenvalues of trusses under the condition of constant structural weight. The conjugate gradient method is used in two different contexts herein: in phase 1, as the algorithm that determines the changes to be introduced to the structural configuration, and phase 2, as the basic algorithm used for reanalysis of the eigenvalues of successively modified designs.

Subject Headings: Eigenvalues | Algorithms | Trusses

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