A method for calculating the energy transfer of a combined rotary shell with variable winding trajectory

This paper proposes a method for calculating and analyzing the energy transfer characteristic of an air spring (AS) with a precise transfer matrix by abstracting the AS as a combined rotary shell structure with a variable winding trajectory. A dynamic equilibrium equation is derived considering the shell pre-stress. The forced vibration control equation is constructed for the shell under external excitation. The vibration response of the shell is subsequently analyzed under the effect of concentrated force and generalized sound pressure. The continuous boundary condition of the fluid–solid coupling is then borrowed to solve the sound pressure coefficient and to obtain the vibro-acoustic dynamic responses of the shell. Thereafter, structural intensity and energy flow are introduced with an expression to calculate them for the AS. The path and characteristics of energy transfer in the AS are then analyzed. Finally, a test platform is established to compare the energy flow test results of the three prototypes to prove the effectiveness of the proposed method in support of the analysis.