This paper is concerned with constructing families of Euler-Bernoulli beams which have exactly the same sequence of buckling loads of a given beam. The result is valid under the assumption of Pinned-Pinned, Pinned-Sliding and Sliding-Sliding end conditions. The analysis is based on a reduction of the buckling problem to an eigenvalue problem for a class of strings, and on constructing isospectral strings via a Darboux lemma.

Families of beams with a given buckling spectrum

MORASSI, Antonino
2011-01-01

Abstract

This paper is concerned with constructing families of Euler-Bernoulli beams which have exactly the same sequence of buckling loads of a given beam. The result is valid under the assumption of Pinned-Pinned, Pinned-Sliding and Sliding-Sliding end conditions. The analysis is based on a reduction of the buckling problem to an eigenvalue problem for a class of strings, and on constructing isospectral strings via a Darboux lemma.
File in questo prodotto:
File Dimensione Formato  
0266-5611_27_4_045006.pdf

non disponibili

Tipologia: Altro materiale allegato
Licenza: Non pubblico
Dimensione 344.2 kB
Formato Adobe PDF
344.2 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/872032
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 5
social impact