A Rayleigh-Ritz Model for Dynamic Response and Buckling Analysis of Delaminated Composite Timoshenko Beams

摘要

This paper investigates the structural dynamic characteristics of laminate beams with various types of damage. More specifically, this work focuses on modeling delaminations of various sizes and locations within cantilevered laminate beams. Presented here is a Rayleigh-Ritz model which accounts for transverse and axial beam deformation as well as first-order shear deformation. Axial and bending stiffness properties of the beam are modeled using classical lamination theory. It is shown that the proposed Rayleigh-Ritz method greatly simplifies derivation, implementation, and computational cost of existing methods while still providing accurate results. Results show the effects of delamination size and location on the natural frequencies, mode shapes, and buckling loads of cantilever beams. Results from the analytical model are compared to those found using commercial finite element modeling software. Further comparisons will be made between the proposed model, and existing analytical and finite element models.