Free Vibration Analysis of Cross-Ply Laminated Conical Shell, Cylindrical Shell, and Annular Plate with Variable Thickness Using the Haar Wavelet Discretization Method

This paper presents a unified solution method to investigate the free vibration behaviors of laminated composite conical shell, cylindrical and an annular plate with variable thickness arbitrary boundary conditions using Haar wavelet discretization (HWDM). Theoretical formulation is established based on first-order shear deformation theory (FSDT), displacement components are extended series in axis direction trigonometric circumferential direction. The constants generated by integration process disposed conditions, thus equations motion total system, including condition, transformed into algebraic equations. Then, natural frequencies structures directly obtained solving these stability accuracy present verified through convergence validation studies. effects some material properties geometric parameters shells discussed related mode shapes given. Some new results for presented, which may serve as benchmark solutions.