|
| The Complete Biorthogonal Expansion Theoremand Its Application to a Class of RectangularPlate Equations |
| |
| View Full Text View/Add Comment Download reader |
| KeyWord:Rectangular cantilever thin plate Hamiltonian operator Biorthogonal expansion theorem General solutions Completeness |
|
| Hits: 316 |
| Download times: 558 |
| Abstract: |
| In this paper, we first establish the separable $Hamiltonian$ system of rectangular cantilever thin plate bending problems by choosing proper dual vectors. Then using the characteristics of off-diagonal infinite-dimensional $Hamiltonian$ operator matrix, we derive the biorthogonal relationships of the eigenfunction systems and based on it we further obtain the complete biorthogonal expansion theorem. Finally, applying this theorem we obtain the general solutions of rectangular cantilever thin plate bending problems with two opposite edges slidingly supported. |
|
|
|
