Periodic solutions of nonlinear vibrating beams.
Periodic vibrations of an extensible beam
Pointwise and spectral control of plate vibrations.
We consider the problem of controlling pointwise (by means of a time dependent Dirac measure supported by a given point) the motion of a vibrating plate Ω. Under general boundary conditions, including the special cases of simply supported or clamped plates, but of course excluding the cases where multiple eigenvalues exist for the biharmonic operator, we show the controlability of finite linear combinations of the eigenfunctions at any point of Ω where no eigenfunction vanishes at any time greater...
Problems of interaction of vibrating surfaces with processable materials.