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

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 4×4 matrices in block-diagonal form with explicit 2×2 blocks.

Bibliographic Details
Main Author: Sung Woo Choi
Format: Article
Language:English
Published: AIMS Press 2021-07-01
Series:AIMS Mathematics
Subjects:
beam
block-diagonal
characteristic equation
deflection
eigenfunction
eigenvalue
elastic foundation
integral operator
spectrum
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021619?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2021619?viewType=HTML

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