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EnglishAn extended variational formulation is presented for the case of generalized eigenvalue problems for formally symmetric linear operators; in this way a convivent foundation for finite element models is provided. The paradigmatic case of Beck's cantilever is discussed in detail: it is shown that the stability analysis can be carried out by solving a generalized algebric eigenvalue problem, with symmetric matrice. Numerical result are also reported
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http://hdl.handle.net/11392/463296| Titolo: | Extended variational formulations and F.E. models in the stability analysis of non-conservative elastic systems |
| Autori interni: | TRALLI, Antonio Michele |
| Data di pubblicazione: | 1986 |
| Rivista: | TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING |
| Abstract: | An extended variational formulation is presented for the case of generalized eigenvalue problems for formally symmetric linear operators; in this way a convivent foundation for finite element models is provided. The paradigmatic case of Beck's cantilever is discussed in detail: it is shown that the stability analysis can be carried out by solving a generalized algebric eigenvalue problem, with symmetric matrice. Numerical result are also reported |
| Handle: | http://hdl.handle.net/11392/463296 |
| Appare nelle tipologie: | 03.1 Articolo su rivista |
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