Free Vibration of Non-prismatic Sandwich Beams Using the Chebyshev Series

The free vibration analysis of non-prismatic tree-layered sandwich beams is carried out using the Chebyshev series. It is considered three-layered sandwich beam consisting of a soft core and two strong face materials. The formulation leads to two coupled partial differential equations obtained using Hamilton's principle. The presented method of solution is based on the theorem leads to an infinite system of algebraic equations. The considerations apply to a system with variable geometrical and material parameters. In order to verify the calculated eigenfrequencies and forms were compared with results obtained by other authors.