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.

A study on calculation method for mechanical impedance of air spring / Changgeng, S.; Penghui, L.; Rustighi, E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 744:(2016), pp. 012181.1-012181.7. (Intervento presentato al convegno MOVIC 2016 and RASD 2016 tenutosi a Southampton nel 4th-6th July 2016) [10.1088/1742-6596/744/1/012181].

### A study on calculation method for mechanical impedance of air spring

#### Abstract

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.
##### Scheda breve Scheda completa Scheda completa (DC)
2016
13th International Conference on Motion and Vibration Control (MOVIC 2016) and the 12th International Conference on Recent Advances in Structural Dynamics (RASD 2016)
Bristol
Institute of Physics Publishing
Changgeng, S.; Penghui, L.; Rustighi, E.
A study on calculation method for mechanical impedance of air spring / Changgeng, S.; Penghui, L.; Rustighi, E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 744:(2016), pp. 012181.1-012181.7. (Intervento presentato al convegno MOVIC 2016 and RASD 2016 tenutosi a Southampton nel 4th-6th July 2016) [10.1088/1742-6596/744/1/012181].
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11572/290594`