Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation

Characteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of $ 4 \times 4 $ matrices in block-diagonal form with explicit $ 2 \times 2 $ blocks.

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 10; pp. 10652 - 10678
Main Author Choi, Sung Woo
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
beam
block-diagonal
characteristic equation
deflection
eigenfunction
eigenvalue
elastic foundation
integral operator
spectrum
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Summary:Characteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of $ 4 \times 4 $ matrices in block-diagonal form with explicit $ 2 \times 2 $ blocks.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021619