Attenuation of wave propagation in a novel periodic structure

Abstract

A novel periodic mount was presented. A theoretical model was developed to describe the dynamics of wave propagation in the novel periodic mount. The model was derived using Hamilton’s energy conservation principle. The characteristics of wave propagation in unit cell were analyzed by transfer matrix formulation. Numerical examples were given to illustrate the effectiveness of the periodic mount. The experiments were carried out to identify the predications of the theoretical model. The obtained results show that the experimental results coincide with the prediction of theoretical model. No pass bands appear in the overall frequency range measured when waves propagate in the longitude direction of the periodic mount. These dramatic results demonstrate its potential as an excellent mount in attenuating and isolating vibration transmission.

Keywords

periodic structure / vibration isolation / passive mount

References

[1] BazA.. Active control of periodic structures [J]. ASME Journal of Vibration and Acoustics, 2001, 123: 472-479

[2] MeadD. J.. Free wave propagation in periodically supported, infinite beams [J]. Journal of Sound and Vibration, 1970, 11(2): 181-197

[3] MeadD. J.. Vibration response and wave propagation in periodic structures [J]. ASME Journal of Engineering for Industry, 1971, 21: 783-792

[4] MeadD. J.. A general theory of harmonic wave propagation in linear periodic systems with multiple coupling [J]. Journal of Sound and Vibration, 1973, 27(2): 235-260

[5] MeadD. J.. Wave propagation and natural modes in periodic systems: I. Mono-coupled systems [J]. Journal of Sound and Vibration, 1975, 40(1): 1-18

[6] MeadD. J.. A new method of analyzing wave propagation in periodic structures: Applications to periodic Timoshenko beams and stiffened plates [J]. Journal of Sound and Vibration, 1986, 104(1): 9-27

[7] MeadD. J.. Wave propagation in continuous periodic structures: Research contributions from Southampton. Journal of Sound and Vibration, 1964, 1996190(3): 496-524

[8] MesterS., BenaroyaJ.. Periodic and near periodic structures: Review [J]. Shock and Vibration, 1995, 2(1): 69-95

[9] RuzzeneM., BazA.. Active control of wave propagation in periodic fluid-loaded shells [J]. Smart Materials and Structures, 2001, 10: 893-906

[10] SolaroliG., GuZ., BazA., RuzzeneM.. Wave propagation in periodic stiffened shells: Spectral finite element modeling and experiments [J]. Journal of Vibration and Control, 2003, 9(9): 1057-1081

[11] ThorpO., RuzzeneM., BazA.. Attenuation of wave propagation in fluid-loaded shells with periodic shunted piezoelectric rings [J]. Smart Materials and Structures, 2005, 14: 594-604

[12] RuzzeneM., BazA.. Control of wave propagation in periodic composite rods using shape memory inserts [J]. Journal of Vibration and Acoustics, Transactions of ASME, 2000, 122: 151-159

[13] ThorpO., RuzzeneM., BazA.. Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches [J]. Smart Materials and Structure, 2001, 10: 979-989

[14] TosoM., BazA.. Wave propagation in periodic shells with tapered wall thickness and changing material properties [J]. Shock and Vibration, 2004, 11: 411-432

[15] SinghA., PinesD. J., BazA.. Active/passive reduction of vibration of periodic one-dimensional structures using piezoelectric actuators [J]. Smart Materials and Structures, 2004, 13: 698-711

[16] RichardsD., PinesD. J.. Passive reduction of gear mesh vibration using a periodic drive shaft [J]. Journal of Sound and Vibration, 2003, 264: 317-342

[17] TAWFIK M, CHUNG J, BAZ A. Wave attenuation in periodic helicopter blades [C]// Jordan International Mechanical Engineering Conference (JIMEC). Amman, Jordan, 2004: 26–28.