Free vibration analysis of laminated cylindrical adhesive joints with conical composite shell adherends

Abstract

Free vibration analysis of adhesive joins between two laminates circular cylindrical along with conical laminated composite shells considering various boundary conditions are examined. The numerical analysis are studied based on the first order shear deformation shell theory (FSDT) and considering compatibility conditions. Using Hamilton principle method, the governing equations of composite cylindrical shell lap adhesive joined to the composite conical shells are obtained. The analysis for carbon/epoxy, glass/epoxy and aramid/epoxy laminated composite materials and various type of adhesive materials are studied. For solving the equilibrium equations of lap joined the cylindrical to the conical shells with adhesive layer, the generalized differential quadrature method (GDQM) is used. The effect of circumferential wave number, length to radius ratio of the shell, length of overlap to length of shell ratio, thickness to radius ratio and thickness of adhesive to thickness of shell ratio are investigated. Furthermore, the various cone angles of conical shell, type of materials and adhesive layer on the natural frequency of laminated circular cylindrical connected to the conical shells are studied. In order to validate the numerical results of present analysis with previous research compared that the result shown that these comparisons show very good agreement. Numerical results shown that with increasing the value of cone angle of the conical shell and the ratio of overlap length to shell length, due to increasing the structural stiffness, the non-dimensional frequency of the structure with adhesive layer increased.