Modeling and analysis of forced vibration of the thin-walled cylindrical shell with arbitrary multi-ring hard coating under elastic constraint

In this paper, a parameterized multi-partitioning method is presented for modeling arbitrary multi-ring hard coating treatment for the thin-walled cylindrical shell under different ring numbers and coating ratios, while the Rayleigh–Ritz method and the Chebyshev orthogonal polynomials of the second kind are employed to derive the governing equations of motion and the admissible displacement, respectively. Moreover, a unified formulation of external load based on the trigonometric and Chebyshev series is developed for forced vibration analysis of the shell with arbitrary axial half-wave number and circumferential wave number. Based on the experimental resonant frequencies, an improved inverse identification procedure is proposed in which the genetic algorithm and pattern search algorithm are sequentially employed to identify the stiffness coefficients of elastic constraint. Good agreement between the experimental and numerical resonant frequencies and responses exhibits the reliability and effectiveness of both the stiffness identification method and semi-analytical model. The identified results happen to find that the constraint stiffness may have the inherent property of frequency dependence due to the existence of micro sliding which would further result in soft nonlinearity in frequency response curve as shown in experimental results. Additionally, the influences of ring number and coating ratio on vibration and damping characteristics of the thin-walled cylindrical shell are investigated by introducing the average strain energy density and average modal loss factor. © 2022 Elsevier Ltd