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
Extended variational formulations and F.E. models in the stability analysis of non-conservative elastic systems
TRALLI, Antonio Michele
1986
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 reportedFile in questo prodotto:
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