Free Vibration of Angle-ply Laminated Conical Shell Frusta with Linear and Exponential Thickness Variations

Abstract

Free vibration of laminated conical shell frusta of variable thickness is studied using spline approximation. This problem includes first order shear deformation and considers shells as antisymmetric angle-ply orientation. The governing differential equations of the shells are resolved in terms of displacement functions and rotational functions. These functions are approximated using splines and the method of collocation is adopted for simultaneous algebraic equations. These equations become generalized eigenvalue problems and are solved numerically to avail eigenfrequencies and the corresponding eigenvectors. The variation of frequencies is analysed with respect to the cone angle, aspect ratio, material properties, number of layers, and thickness variation.

Axisymmetric Free Vibration of Layered Cylindrical Shell Filled with Fluid

“…Results showed that the spline approximation used a lower order approximation, which yields a better accuracy. There are numerous studies on the vibrational behavioral of shells with and without fluid using the spline method such as the vibration of layered cylindrical shells (using spline method) [13], the vibration of antisymmetric angle-ply composite annular plates of variable thickness [14], free vibration of angle-ply laminated conical shell with linear and exponential thickness variations [15], free vibration of layered cylindrical shells filled with fluid using Love's first approximation theory [16], free vibration of antisymmetric angle-ply layered circular cylindrical shells filled with a quiescent fluid under first order shear deformation theory [17], free vibration of cross-ply layered circular cylindrical shells filled with a quiescent fluid under first order shear deformation theory [18], free vibration of symmetrically layered angle-ply cylindrical shells filled with fluid under first order shear deformation theory (FSDT) [19].…”