Name
Abstract | ||
|---|---|---|
Summary. We consider the approximation of the vibration modes of an elastic plate in contact with a compressible fluid. The plate
is modelled by Reissner-Mindlin equations while the fluid is described in terms of displacement variables. This formulation
leads to a symmetric eigenvalue problem. Reissner-Mindlin equations are discretized by a mixed method, the equations for the
fluid with Raviart-Thomas elements and a non conforming coupling is used on the interface. In order to prove that the method
is locking free we consider a family of problems, one for each thickness , and introduce appropriate scalings for the physical parameters so that these problems attain a limit when . We prove that spurious eigenvalues do not arise with this discretization and we obtain optimal order error estimates for
the eigenvalues and eigenvectors valid uniformly on the thickness parameter t. Finally we present numerical results confirming the good performance of the method.
|
Year | DOI | Venue |
|---|---|---|
2000 | 10.1007/PL00005411 | Numerische Mathematik |
Keywords | Field | DocType |
eigenvalues and eigenvectors,finite element analysis | Existence theorem,Discretization,Mathematical analysis,Finite element method,Fluid dynamics,Plate theory,Normal mode,Compressible flow,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | Issue | ISSN |
86 | 4 | 0029-599X |
Citations | PageRank | References |
3 | 0.45 | 2 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. G. Durán | 1 | 98 | 21.57 |
| L. Hervella-Nieto | 2 | 29 | 5.55 |
| E. Liberman | 3 | 3 | 0.45 |
| R. Rodríguez | 4 | 72 | 19.18 |
| J. Solomin | 5 | 3 | 0.45 |