We present an analytical procedure for the exact, explicit construction of Euler-Bernoulli beams with given values of the first N buckling loads. The result is valid for pinned-pinned (P-P) end conditions and for beams with regular bending stiffness. The analysis is based on a reduction of the buckling problem to an eigenvalue problem for a vibrating string, and uses recent results on the exact construction of Sturm-Liouville operators with prescribed natural frequencies.
Explicit Determination of Pinned-Pinned Beams with a Finite Number of Given Buckling Loads
Morassi Antonino
;
2018-01-01
Abstract
We present an analytical procedure for the exact, explicit construction of Euler-Bernoulli beams with given values of the first N buckling loads. The result is valid for pinned-pinned (P-P) end conditions and for beams with regular bending stiffness. The analysis is based on a reduction of the buckling problem to an eigenvalue problem for a vibrating string, and uses recent results on the exact construction of Sturm-Liouville operators with prescribed natural frequencies.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
IJSSD_150902_R1.pdf
Open Access dal 25/09/2019
Descrizione: file pdf
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
591.75 kB
Formato
Adobe PDF
|
591.75 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
