Forced vibration analysis of the thin-walled hard-coating cylindrical shell with arbitrary uniform circular perforations considering structural damping variation

In this paper, a semi-analytical model for forced vibration of the thin-walled hard-coating cylindrical shell with arbitrary uniform circular perforations based on the energy superposition principle is proposed, in which the structural damping variation induced by arbitrary perforations is considered by the developed equivalent Rayleigh damping. The first-order shear deformation theory, second-kind Chebyshev polynomials, and artificial spring technique are employed to derive the governing equations used for forced vibration of the composite shell. Referring to the experimental natural frequencies and resonance response amplitudes of the perforated shell with NiCoCrAlY hard coating, the developed equivalent Rayleigh damping coefficients within a wider frequency band of interest are identified by the pattern search algorithm. The comparation between the experimental and semi-analytical amplitude-frequency curves of resonance exhibits the reliability and effectiveness of the semi-analytical model. Furthermore, a systematic analysis is conducted on the influence of perforation number and radius on the forced vibration characteristics of the shell, which can provide valuable theoretical support for vibration reduction design of complex perforated shell structures in aviation power equipment.