A study of the vibration response of double-layer cylindrical shells based on the similarity principle

Abstract To address the challenges associated with conducting large-scale and complex acoustic vibration experiments on dual-layer cylindrical shells, which are both difficult and costly, this paper proposes a method that predicts the vibrational response of a full-scale dual-layer cylindrical shell using the vibrational response of a single-layer scaled-down model. Finite element models of both the full-scale dual-layer cylindrical shell and its scaled-down counterpart were developed using Virtual.Lab Acoustic software. The vibrational responses of these models were analyzed within the 100–500 Hz frequency range, and a comparative analysis was conducted to validate the accuracy of the scaling method and the similarity of vibrational responses. The results indicate that the displacement ratio between the scaled-down model and the original model aligns closely with the geometric scaling factor. Furthermore, the similarity coefficients of the vibrational responses for both the inner and outer shells of the scaled-down model exceed 0.9, confirming the effectiveness of the proposed approach.