A study on calculation method for mechanical impedance of air spring

13th International Conference on Motion and Vibration Control; 12th International Conference on Recent Advances in Structural Dynamics

Changgeng, Shuai^1,2 ; Penghui, Li^1,2 ; Rustighi, Emiliano^3

Institute of Noise and Vibration, Naval University of Engineering, Wuhan

430033, China^1

National Key Laboratory on Ship Vibration and Noise, Wuhan

430033, China^2

Institute of Sound and Vibration Research, University of Southampton, United Kingdom^3

关键词: Acoustic pressure field;    Approximate analytical expressions;    Different boundary condition;    Differential matrix equation;    Mechanical impedances;    Non-homogeneous matrix;    Sound pressure distribution;    Sound pressure field;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/744/1/012181/pdf
DOI  :  10.1088/1742-6596/744/1/012181

来源: IOP

【 摘 要 】

This paper proposes an approximate analytic method of obtaining the mechanical impedance of air spring. The sound pressure distribution in cylindrical air spring is calculated based on the linear air wave theory. The influences of different boundary conditions on the acoustic pressure field distribution in cylindrical air spring are analysed. A 1-order ordinary differential matrix equation for the state vector of revolutionary shells under internal pressure is derived based on the non-moment theory of elastic thin shell. Referring to the transfer matrix method, a kind of expanded homogeneous capacity high precision integration method is introduced to solve the non-homogeneous matrix differential equation. Combined the solved stress field of shell with the calculated sound pressure field in air spring under the displacement harmonic excitation, the approximate analytical expression of the input and transfer mechanical impedance for the air spring can be achieved. The numerical simulation with the Comsol Multiphysics software verifies the correctness of theoretical analysis result.