Numerical Method for Elastic Stability Problems

by C. V. Girija Vallabhan, (M.ASCE), Asst. Prof. of Civ. Engrg.; Texas Tech Univ., Lubbock, TX,

Serial Information: Journal of the Structural Division, 1971, Vol. 97, Issue 11, Pg. 2691-2706

Document Type: Journal Paper

Abstract: The elastic stability of structures leads to a linear eigenvalue problem of the type AX = λBX where A and B are symmetric and banded. A numerical method is presented to compute the critical buckling load, which is the minimum eigenvalue. The upper and lower bounds are estimated and using an improved interpolation technique the exact minimum eigenvalue is calculated. The buckling loads of nonuniform columns and isotropic and orthotropic rectangular plates with different boundary conditions are evaluated numerically. Estimates of the number of increments necessary for satisfactory results are also given. The method is general for all elastic structural stability problems.

Subject Headings: Numerical methods | Elastic analysis | Eigenvalues | Structural stability | Linear functions | Symmetry | Critical loads |

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