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arXiv · 1408.5025

On positiveness and contractiveness of the integral operator arising from the beam deflection problem on elastic foundation

Sung Woo Choi
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Abstract

We provide a complete proof that there are no nontrivial eigenvalues of the integral operator $\mathcal{K}_l$ outside the interval $(0,1/k)$. $\mathcal{K}_l$ arises naturally from the deflection problem of a beam with length $l$ resting horizontally on an elastic foundation with spring constant $k$, while some vertical load is applied to the beam.

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Sung Woo Choi. 2014-08-21. On positiveness and contractiveness of the integral operator arising from the beam deflection problem on elastic foundation. https://arxiv.org/abs/1408.5025

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