Eigenvibrations of a beam with load


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Abstract

The eigenvalue problem describing eigenvibrations of a beam with load is investigated. The problem has an increasing sequence of positive simple eigenvalues with limit point at infinity. To the sequence of eigenvalues, there corresponds a system of normalized eigenfunctions. Limit properties of eigenvalues and eigenfunctions are studied.

About the authors

A. A. Samsonov

Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies

Author for correspondence.
Email: anton.samsonov.kpfu@mail.ru
Russian Federation, Kazan, 420008

S. I. Solov’ev

Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies

Email: anton.samsonov.kpfu@mail.ru
Russian Federation, Kazan, 420008


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