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Solution of Eigenvalue Problems as Extremes of a Second Degree Surface

H. El-Gendy, A. Eraky, M. S. Matbuly, M. Afwat

Abstract



In this work the eigenvalue problem is formulated as an optimization problem of a second degree surface. Lagrange multiplier technique is employed, such that the eigenvalues and eigenvectors are exactly obtained. The obtained results agreed with that of the previous techniques. A flowchart and Matlab program are introduced to simplify the proposed technique. Further, the proposed technique is applied for vibration analysis of two different plate configurations.

Keywords


Eigenvalues; Eigenvectors; Optimization; Second Degree Surface.

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