American Society of Civil Engineers

Practical Reduction of Structural Eigenproblems

by Mario Paz, M.ASCE, (Prof. and Chmn., Civ. Engrg. Dept., Univ. of Louisville, Louisville, KY)

Journal of Structural Engineering, Vol. 109, No. 11, November 1983, pp. 2591-2599, (doi:

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Document type: Journal Paper
Discussion: by George H. Sotiropoulos    (See full record)
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Abstract: An evaluation of publications on reduction of structural eigenvalue problems has revealed the following: (1) Most of the published techniques are essentially equivalent to Guyan reduction; (2) published techniques to decrease the error in Guyan reduction require matrix inversions, an iterative process, or both. This paper presents a modified Guyan reduction method which decreases errors in the calculation of the eigenvectors of the system and which does not require matrix inversions whatsoever. It also shows that a simple iterative process could be used to improve further the eigenvalue solution of the system.

ASCE Subject Headings:
Matrices (mathematics)
Matrix methods
Numerical analysis
Structural analysis
Structural dynamics