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

Abstract

In this paper, the Hamilton's principle is implemented to derive the coupled partialdifferential equations of motion of composite sandwich beams with viscoelastic core. Thesandwich beams model is based on the higher order theory for composite sandwich beams withviscoelastic core, which regards independent transverse displacements for the face sheets withlinear variations along the depth of the core. The core Young's modulus and the beam rotaryinertia effects are also taken into account. Frequency response analysis is examined by applyingthe Galerkin discretization approach on the adimensional equations of motion. The results arevalidated by comparison with the existing literature. An interesting study is managed for thefrequency response sensitivity analysis to the core shear modulus variation. The novelty of thiswork, besides the study of the fiber angle effects on the frequency response, is finding morelogical relationships for regarding or discarding the core Young's modulus and the beam rotaryinertia contributions, during the frequency response analysis of the beam. The results indicate thesignificant role of the core Young's modulus and the beam rotary inertia effects on the frequencyresponse of the beam. The outcomes illustrate regarding the core Young's modulus, contributionhardens the structure while consideration of the beam rotary inertia softens the structure.