Eigensolution of Large Structural Systems with Small Bandwidth

by Klaus-Jürgen Bathe, Asst. Res. Engr.; Civ. Engrg. Dept., Univ. of California, Berkeley, CA,
Edward L. Wilson, (M.ASCE), Prof.; Civ. Engrg. Dept., Univ. of California, Berkeley, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1973, Vol. 99, Issue 3, Pg. 467-479

Document Type: Journal Paper


The basic technique for the accurate calculation of the smallest (largest) eigenvalues and corresponding eigenvectors in large generalized eigenvalue problems arising in dynamic and buckling analysis are considered. This leads to the design of a very efficient practical algorithm when the system has small bandwidth. The solution technique combines an accelerated secant iteration in which the Sturm sequence of the leading principal minors is used with vector inverse iteration. Example analyses are presented to show typical convergence characteristics and solution times.

Subject Headings: Structural systems | Dynamic analysis | Eigenvalues | Buckling | Algorithms | Vector analysis | Convergence (mathematics)

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