Free Vibration Characteristics of Composite Shallow Circular Cylindrical Shells or Panels with a Non-Central Single Lap Joint

Abstract

This study is concerned with the Free Vibrations of Composite Shallow Circular Cylindrical Shells or Panels with a Non-Central Single Lap Joint. In the analysis and formulation of the problem, the upper and lower shell elements are considered as dissimilar, orthotropic, shallow, circular cylindrical shells with the extensional and rotary moments of inertia. The shallow shell adherends are bonded or joined to-gether by a very thin, yet flexible and linearly elastic adhesive layer. The theoretical developments are based on a First Order Shear Deformation Shell Theory (FSDST). After some manipulations, the entire set of shallow shell equations is reduced to a special Then, the governing systems of the first order ordinary differential equations are developed in the state vector form. Hence, they can be integrated by the Modified Transfer Matrix Method Interpolation Polynomials). Another version of the method is (with Chebyshev Polynomials). The non- central position of the lap joint is investigated in terms of the very interesting mode shapes and the corresponding natural frequencies. Also, the influence of the hardness and the softness of the adhesive on the mode shapes and the natural frequencies are studied and presented. Some parametric studies of the effect of the overlap length of the adhesive layer are plotted for certain boundary conditions. † Professor,