Optimization with Frequency Constraint

by William R. Spillers, (M.ASCE), Prof.; Dept. of Civ. Engrg., Rensselaer Polytechnic Inst., Troy, N.Y. 12181,
Robert Levy, Grad. Student; Dept. of Civ. Engrg., Rensselaer Polytechnic Inst., Troy, N.Y.,
Sohan Singh, Grad. Student; Dept. of Civ. Engrg., Rensselaer Polytechnic Inst., Troy, N.Y.,


Serial Information: Journal of the Structural Division, 1981, Vol. 107, Issue 12, Pg. 2337-2347


Document Type: Journal Paper

Abstract: The use of allowable stress algorithms for a simple structural optimization problem with a single frequency constraint and a constant mass matrix is discussed. The mathematical properties of the eigenvalue problem are reviewed. An Allowable stress algorithm is stated and its properties discussed. Two simple examples are presented. The primary concern of this paper lies in placing allowable stress-type algorithms within the mathematical programming literature.

Subject Headings: Maximum loads | Algorithms | Matrix (mathematics) | Eigenvalues | Computer programming

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