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Nonlinear Frequency Response Analysis and Jump Avoidance Design of Molecular Spring Isolator

Published online by Cambridge University Press:  14 July 2016

M.-C. Yu ,
X. Gao  and
Q. Chen
M.-C. Yu
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics Nanjing, China
X. Gao
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics Nanjing, China
Q. Chen*
Affiliation:
State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics Nanjing, China
*
*Corresponding author ([email protected])
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Abstract

Molecular spring vibration isolation technology has been invented in the recent years but it still needs further development in dynamics theory. A molecular spring isolation (MSI) consists of water and hydrophobic zeolites as working medium, providing high-static-low-dynamic stiffness. The dynamic properties of MSI are thoroughly investigated in this paper. Firstly, the nonlinear dynamic model of a vibration system support by MSI, i.e. the equation of motion, is established. Then the averaging method is employed to estimate the frequency response function (FRF) of the primary resonance. The phase trajectories diagram evolvement of primary resonance is also investigated to analysis the stability of the primary resonance response. From the plot of FRF, it is found that there exists a jump phenomenon induced by nonlinear stiffness, which may have harmful impacts on the equipment which is supposed to be protected from vibrations and shocks. To avoid jump, the FRF is analyzed to find the critical values of system parameters and a jump avoidance criterion is introduced.

Keywords

Vibration isolationMolecular spring isolatorHigh-static-low-dynamic stiffnessJump phenomenon
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 5 , October 2016 , pp. 527 - 538
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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References

1. Gao, X., Chen, Q. and Teng, H.D., “Molding and dynamics properties of a novel solid and liquid mixture vibration isolation,” Journal of Sound and Vibration, 331, pp. 3695–3709 (2012).Google Scholar
2. Teng, H.D. and Chen, Q., “Study on vibration isolation properties of solid and liquid mixture,” Journal of Sound and Vibration, 329, pp. 137–149 (2009).Google Scholar
3. Yu, M.C., Chen, Q., Gao, X. and Zhang, S. Z., “Investigation of molecular spring on vibration isolation mechanism and mechanical properties,” Chinese Journal of Theoretical and Applied Mechanics, 46, pp. 553–560 (2014).Google Scholar
4. Yu, M.C., Chen, Q. and Gao, X., “Theoretical and Experimental Investigation of Molecular Spring Isolator,” Microsystem Technologies, DOI: 10.1007/s00542-014-2401-7 (2015).Google Scholar
5. Fadeev, A., and Eroshenko, V., “Study of penetration of water into hydrophobized porous silicas,” Journal of Colloid and Interface Science, 187, pp. 275–282 (1997).Google Scholar
6. Suciu, C. and Iwatsubo, T., “Investigation of a colloidal damper,” Journal of Colloidal and Interface Science, 259, pp. 62–80 (2001).Google Scholar
7. Suciu, C., Iwatsubo, T., Yaguchi, k. and Ikenaga, M., “Novel and global approach of the complex and interconnected phenomena related to the contact line movement past a solidsurface from hydrophobized silica gel,” Journal of Colloid and Interface Science, 283, pp. 196–214 (2005).Google Scholar
8. Kong, X., Surani, F. B. and Qiao, Y., “Energy absorption of nano-porous silica particles in aqueous solutions of sodium chloride,” Physic Scripta, 74, pp. 531–534 (2006).CrossRefGoogle Scholar
9. Han, A., Kong, X., and Qiao, Y., “Pressure induced liquid infiltration in nanopores,” Journal of Applied Physics, 100, pp. 1–3 (2006).Google Scholar
10. Eroshenko, V., Regis, R., Soulard, M. and Patarin, J., “Energetic: a new field of application of hydrophobic zeolites,” Journal of The American Chemical Society, 123, pp. 8129–8130 (2001).Google Scholar
11. Soulard, M., Patarin, J., Eroshenko, V. and Regis, R., “Molecular spring or bumper: a new application for hydrophobic zeolites materials,” Studies in Surface Science and Catalysis, 154, pp. 1830–1837 (2004).Google Scholar
12. Trzpit, M., Rigolet, S. and Paillaud, J., “Pure silica chabazite molecular spring: a structural study on water intrusion-extrusion processes,” Journal of Physical Chemistry, 112, pp. 7257–7266 (2008).Google Scholar
13. Tzanis, L., Trzpit, M., Soulard, M. and Patarin, J., “High pressure water intrusion investigation of pure silica 1D channel AFI, MTW and TON-type zeolites,” Microporous and Mesoporous Materials, 146, pp. 119–126 (2011).Google Scholar
14. Tzanis, L., Trzpit, M., Soulard, M. and Patarin, J., “Energetic Performances of Channel and Cage-Type Zeosils,” Journal of Physical Chemistry, 116, pp. 20389–20395 (2012).Google Scholar
15. Desbiens, N., Boutin, A. and Demachy, I., “Water condensation in hydrophobic Silicalite-1 zeolite: a molecular simulation study,” Journal of Physical Chemistry, 109, pp. 24071–24076 (2005).Google Scholar
16. Gao, X. and Chen, Q., “Nonlinear frequency response analysis and dynamics design of a solid and liquid mixture nonlinear vibration isolator,” Journal of Vibration and Control, 20, pp. 2389–2400 (2014).Google Scholar
17. McCusker, L.B., Liebau, F. and Engelhardt, G., “Nomenclature of structural and compositional characteristics of ordered microporous and mesoporous materials with inorganic hosts (IUPAC recommendations 2001),” Microporous and Mesoporous Materials, 58, pp. 3–13 (2003).Google Scholar
18. Worden, K., “On jump frequencies in the response of the duffing oscillator,” Journal of Sound and vibration. 198, pp. 522–525 (1996).Google Scholar
19. Jazar, G.N., Houim, R., Narimani, A. and Golnaraghi, M. F., “Frequency response and jump avoidance in a nonlinear passive engine mount,” Journal of Vibration and Control, 12, pp. 1205–1237 (2006).CrossRefGoogle Scholar
20. Zhou, N. and Liu, K., “A tunable high- static–low- dynamic stiffness vibration isolator,” Journal of Sound and Vibration, 329, pp. 1254–1273 (2010).Google Scholar
21. Carrella, A., Brennan, M., Waters, T. P. and Lopes, V., “Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness,” International Journal of Mechanical Sciences, 55, pp. 22–29 (2012).Google Scholar