Free vibration analysis of rotating thin-walled cylindrical shells with hard coating based on Rayleigh-Ritz method

Abstract

This paper focuses on the free vibration analyses of the rotating hard-coating cylindrical shells with various boundary conditions and the effects of hard coating on the vibration behaviors of the rotating shells. To accurately predict more natural characteristics, the characteristic orthogonal polynomials are taken as the admissible displacement functions. Considering the influences of Coriolis force, centrifugal force and initial hoop tension caused by rotation, the equations of motion of the shells are established by the use of the Rayleigh-Ritz method. Based on the state vector method, an efficient method is developed to solve the equations. By comparing with the results of both the finite element analysis and published literatures, the high accuracy and good convergence of the proposed model are verified. In addition, the effects of the boundary conditions, parameters of hard coating, rotating speed and number of circumferential waves on the vibration behaviors of the hard-coating shells are evaluated. This study may provide a reference for the application of hard-coating damping treatment to the vibration suppression of rotating thin-walled structures.

Thermal buckling in multi-directional porous plates: The effects of material grading and aspect ratio

“…11 Free vibration analysis of the rotating hard-coating cylindrical shells was performed for various boundary conditions using the Rayleigh–Ritz method. 12 Free vibration analysis of 2-D FGM was studied for various BCs in which clamped boundary conditions yield maximum frequency, simply supported the minimum and free-free boundary condition shows intermediate results. 13 A semi-analytical numerical method was employed in solving the problems of bending analysis of 2-D FG circular and annular plates, 14 bending and thermal deformations of FG beams with various end conditions, 15 and impact analysis.…”

Multi-Directional Functionally Graded Sandwich Plates: Buckling and Free Vibration Analysis with Refined Plate Models under Various Boundary Conditions

“…Various methodologies have been proposed for analyzing the free vibration of plates, beams, and shells, including the energy method for plates [3], Galerkin-Vlasov's method for tapered plates [4], and the Rayleigh-Ritz method for rotating hard-coating cylindrical shells [5]. For 2-D FGMs, studies have explored their free vibration behavior under different boundary conditions, revealing variations in their frequency based on the boundary conditions [6].…”

Dynamic examination of closed cylindrical shells utilizing the differential transform method

“…Dongxu Du et al examine free vibration analyses of rotating hard-coating cylindrical shells under varied conditions 17 . Employing characteristic orthogonal polynomials and considering forces like Coriolis, they establish equations of motion using the Rayleigh–Ritz method.…”