ON THE STEADY-STATE VIBRATIONS OF A THICK RECTANGULAR PLATE MADE OF AN ISOTROPIC MATERIAL
The problem of vibration bending of a thick rectangular plate made of an isotropic material in 3-D formulation is studied. The two opposite edges are assumed to be freely supported, the rest of the side surface being randomly fixed. The 3-D resulting boundary value differential problem of determining the amplitude of the displacement vector projections is reduced to a 2-D one using the method of variable splitting. Further reduction of the dimension of the problem is done with the help of the spline-collocation method. The 1-D problem is solved using the discrete orthogonalization method. An example of numerical computation is presented.