THE EFFECT OF BOUNDARY CONDITIONS ON THE VIBRATION OF A VISCOELASTICALLY DAMPED CANTILEVER BEAM

The dynamical behaviour of a three-layer cantilever beam damped by a viscoelastic core is studied. Two selected boundary conditions are compared, one of them requiring the omission of the hypothesis used by several authors that the ratio of the longitudinal displacements in the elastic parts of the beam is constant. A finite element analysis and supporting experimental results indicate that the omission of this hypothesis may influence significantly the estimated value of the fundamental frequency.