Stiffness of pneumatic membrane in a dual-chamber pneumatic isolator

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (7) : 204-210.

ZHANG Zehua1,2 YIN Wensheng1,2

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Abstract

Aiming at lack of an accurate theoretical model for pneumatic membrane in a dual-chamber isolator, a theoretical modelling method for stiffness of pneumatic membrane was proposed here. The pneumatic membrane was divided into several parts according to their geometric shapes so that an irregular shape membrane’s whole stiffness modelling problem was converted into stiffness modelling of several parts with regular shapes. The composite material mechanics theory was used to get elastic modulus and stiffness of individual part made of anisotropic material. The pneumatic membrane’s whole stiffness model was deduced based on the stiffness relations among parts of the membrane. This stiffness model was verified with tests on a built test rig. It was shown that the results using the deduced stiffness model agree well with those of tests. This study provided a theoretical basis for the design of dual-chamber pneumatic isolators.

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anisotropic / pneumatic spring / rubber / stiffness

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ZHANG Zehua1,2 YIN Wensheng1,2. Stiffness of pneumatic membrane in a dual-chamber pneumatic isolator[J]. Journal of Vibration and Shock, 2018, 37(7): 204-210

References

[1] Rostami A. Piece wise linear integrated optical device as an optical isolator using two-port nonlinear ring resonators[J]. Optics & Laser Technology, 2007, 39(5):1059-1065.
[2] Rivin E. Vibration isolation of precision equipment[J]. Precision Engineering, 1995, 17(1): 41-56.
[3] Karnopp D. Active and semi-active vibration isolation[J]. Journal of Vibration and Acoustics, 1995, 117(B): 177-185.
[4] 杨一峰.隔振装置采用橡胶弹簧与金属弹簧的比较[J]. 国外铁道车辆, 1994, 121(1): 32-35.
YANG Yifeng. The comparison between pneumatic spring and medal spring in vibration isolator[J]. Foreign rolling stock, 1994, 121(1): 32-35.
[5] J.L.SHEARER. Continuous control of motion with compressed air[D]. PhD thesis, Department of Mechanical Engineering, MIT, 1954
[6] Erin C, Wilson B, Zapfe J. An improved model of a pneumatic vibration isolator: theory and experiment[J]. Journal of sound and vibration, 1998, 218(1): 81-101.
[7] Jeung-Hoon Lee, Kwang-Joon Kim. Modeling of nonlinear complex stiffness of dual-chamber pneumatic spring for precision vibration isolations[J]. Journal of Sound and Vibration, 2007, 301(1): 909–926.
[8] Mooney M J. A theory of large elastic deformation[J]. Journal of Applied Physics, 1940, 11(6): 582-592.
[9] Yeoh O H. Some forms of the strain energy for rubber[J]. Rubber Chemistry and Technology, 1993, 66(5): 754-771.
[10] Mori T, Tanaka K. Average stress in matrix and average energy of materials with misfitting inclusions[J]. ActaMetallurgica, 1973, 21(5):571-574.
[11] Hashin Z, Shtrikman S. A variational approach to the theory of the elastic behavior of multiphase materials [J]. Journal of the Mechanics and Physics of Solids, 1963, 11 (2):127-140.
[12] Cox H L. The elasticity and strength of paper and other fibrous materials[J]. British Journal of Applied Physics, 1952, 3(3):72-79.
[13] Eshelby J D. The elastic field outside an ellipsoidal inclusion[J]. Proceedings of the Royal Society: A , 1959 , 252 (1271):561-569.