Application of Invariant Imbedding to the Eigenvalue Problems for Buckling of Columns.

by D. W. Alspaugh, H. H. Natsuyama, Robert E. Kalaba


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A classical eigenvalue problem for the buckling of beams is transformed into an initial-value problem by means of invariant imbedding. This initial-value form is particularly well suited for numerical integration. Several examples are presented to illustrate the technique and to demonstrate the accuracy of the numerical solution. 28 pp. Refs. (KB)

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