FREQUENCY RESPONSE ANALYSIS OF HIGHER ORDER COMPOSITE SANDWICH BEAMS WITH VISCOELASTIC CORE

In this paper, the Hamilton's principle is implemented to derive the coupled partial
differential equations of motion of composite sandwich beams with viscoelastic core. The
sandwich beams model is based on the higher order theory for composite sandwich beams with
viscoelastic core, which regards independent transverse displacements for the face sheets with
linear variations along the depth of the core. The core Young's modulus and the beam rotary
inertia effects are also taken into account. Frequency response analysis is examined by applying
the Galerkin discretization approach on the adimensional equations of motion. The results are
validated by comparison with the existing literature. An interesting study is managed for the
frequency response sensitivity analysis to the core shear modulus variation. The novelty of this
work, besides the study of the fiber angle effects on the frequency response, is finding more
logical relationships for regarding or discarding the core Young's modulus and the beam rotary
inertia contributions, during the frequency response analysis of the beam. The results indicate the
significant role of the core Young's modulus and the beam rotary inertia effects on the frequency
response of the beam. The outcomes illustrate regarding the core Young's modulus, contribution
hardens the structure while consideration of the beam rotary inertia softens the structure.