Geodesic
Properties of the first eigenfunctions of the clamped column equation
Theoretical and applied mechanics, Tome 30 (2003) no. 4.

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We show that the clamped column equation may not possess a positive first eigenfunction. This result discovers the anomalies of some papers in determining the shape of the strongest clamped-clamped column.
Keywords: eigenvalue, clamped column equation, optimal shape 
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     author = {Samir Karaa},
     title = {Properties of the first eigenfunctions of the clamped column equation},
     journal = {Theoretical and applied mechanics},
     pages = {265 - 276},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2003},
     url = {http://geodesic.mathdoc.fr/item/TAM_2003_30_4_a1/}
}
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Samir Karaa. Properties of the first eigenfunctions of the clamped column equation. Theoretical and applied mechanics, Tome 30 (2003) no. 4. http://geodesic.mathdoc.fr/item/TAM_2003_30_4_a1/