A New Type Dynamic Vibration Absorber to Reduce Broad-Band Vibration in Plates

Abstract:

A new type dynamic vibration absorber, which consists of steel layer and variable cross section rubber layer fitted to plate by bolt through L-shape connection, is introduced firstly and applied to control vibration of plates at multi mode frequencies in this paper. The aim of the present paper is to study the energy absorbing ability of the new type dynamic vibration absorber and apply optimization method to obtain parameters of absorber which is excellent in absorbing energy. The coupling model of composite beam and plate is established by power flow method and energy of plate attenuated by absorber is analyzed. To improve energy dissipated by absorber, the particle swarm method is used to optimize parameters of absorber to minimize vibration energy of the plate. An experiment is executed to certificate the energy mitigated by absorber to validate analytical modeling method. The test data are consistent with the analytical results, demonstrating that the new type dynamic vibration absorber can suppress the vibration energy at every mode of plate and achieve a goal of multi-mode control.

• Periodical: Advanced Materials Research (Volumes 148-149)
• Pages: 485-497
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.148-149.485
• Online since: October 2010
• Authors: He Ye Xiao, Mei Ping Sheng, Ye Lei
• Keywords: Dynamic Vibration Absorber (DVA), Particle Swarm Method, Power Flow

References

[1] D.J. Thompson: A continuous damped vibration absorber to reduce broad-band wave propagation in beams. Journal of sound and vibration, Vol. 311(2008), pp.824-842.

DOI: 10.1016/j.jsv.2007.09.038

[2] Felipe Antonio Chegury Viana, etc: Tuning dynamic vibration absorbers by using ant colony optimization . computer &structure, Vol. 86(2008), pp.1539-1549.

DOI: 10.1016/j.compstruc.2007.05.009

[3] Rahul Rana and T. T. Soong: Parametric study and simplified design of tuned mass dampers. Engineering Structures, Vol20. (1998) , pp.193-204.

DOI: 10.1016/s0141-0296(97)00078-3

[4] Philip D. Cha, Michael Chan: Mitigating Vibration Along an Arbitrarily Supported Elastic Structure Using Multiple Two-Degree-of-Freedom Oscillators. Journal of vibration and acoustics, Vol. 131(2009), , 031008.

DOI: 10.1115/1.3085891

[5] J.C. Snowdon, A.A. Wolfe,; indR . L. Keriin: The cruciform dynamic vibration absorber. J. Acoust. Soc,A. m, Vol. 75(1984), , pp.1792-1799.

[6] Eiichi Nishida, G. H. Koopmann: A Method for Designing and Fabricating Broadband Vibration Absorbers for Structural Noise Control. Journal of vibration and acoustics, Vol. 129(2007), pp.397-405.

DOI: 10.1115/1.2424968

[7] G. Pavic: Numerical study ofdamping, energy and energ vibration y flow in a beam–plate system. Journal of Sound and Vibration, Vol . 291(2006), , p.902–931.

DOI: 10.1016/j.jsv.2005.07.020

[8] Goyder H G D，White R G: vibration power flow from machines into built-up structure, Part I. Vol. 68(1980), p. l57-117.

DOI: 10.1016/0022-460x(80)90454-x

[9] Y.P. Xiong, J.T. Xing, W.G. Price: Power flow analysis of complex coupled systems by progressive approaches, Journal of Sound and Vibration, Vol. 239(2001), p.275–295.

DOI: 10.1006/jsvi.2000.3159

[10] M. Febbo S. A. Vera: Optimization of a Two Degree of Freedom System Acting as a Dynamic Vibration Absorber. Journal of vibration and acoustics, Vol. 130 (2008): 011013.

DOI: 10.1115/1.2827368

[11] W.O. Wong_, Y.L. Cheung: Optimal design of a damped dynamic vibration absorber for vibration control of structure excited by ground motion. Engineering Structure, Vol. 30(2008), pp.282-286.

DOI: 10.1016/j.engstruct.2007.03.007

[12] Weilin Du, Bin Li: Multi-strategy ensemble particle swarm optimization for dynamic optimization . Information Sciences, Vol, 178(2008), p.3096–3109.

DOI: 10.1016/j.ins.2008.01.020

[13] L.J. Li , Z.B. Huang, F. Liu: A heuristic particle swarm optimization method for truss structures with discrete variables. Computers and Structures, Vol, 87(2009), p.435–443.

DOI: 10.1016/j.compstruc.2009.01.004

[14] Y.K. Koh R.G. White: analysis and control of vibrational power transmission to machinery supporting structures subjected to a multi-excitation system, PartⅡ[J]. Journal of sound and vibration, Vol. 196(1996) , pp.495-508.

DOI: 10.1006/jsvi.1996.0497

[15] Z.H. Wang, J.T. Xing, W.G. Price: A study of power flow in a coupled plate–cylindrical shell system. Journal of Sound and Vibration, Vol. 271(2008), p.863–882.

DOI: 10.1016/s0022-460x(03)00757-0

[16] L. Cremer,M. Heckl: Structure-Brone Sound, springer, NY(1996), second edition.

[17] . zdemir, M.O. Kaya, Flabse: Bending Vibration Analysis of Rotating Tapered Cantilever Bernoulli–Euler Beam by Differential Transform Method, Journal of Sound and Vibration, Vol. 289(2006), p.413–420.

DOI: 10.1016/j.jsv.2005.01.055

[18] J.M. Cuschieri: Parametric analysis of the power flow on an L-shaped plate using a mobility power flow approach.J. Acoust. Soc. Am. Vol. 19(1992) , pp.2686-2695.

DOI: 10.1121/1.402976

[19] Frank Fahy, Paolo Gardonio. Sound and Vibration, Elsevier, NY(2007), second edition.

[20] Y.L. Cheung, W.O. Wong: H∞and H2 optimizations of a dynamic vibration absorber for suppressing vibrations in plates . Journal of sound and vibration. Vol, 320(2009), pp.29-42.

DOI: 10.1016/j.jsv.2008.07.024

[21] R.C. Eberhart:J. Kennedy, A new optimizer using particle swarm theory, Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, Japan (1995), p.39–43.

DOI: 10.1109/mhs.1995.494215

[22] Rajamohan Ganesan, Abolghassem Zabihollah: Vibration analysis of tapered composite beams using a higher-order finite element. Part II: parametric study. Composite Structures, Vol. 77(2007), p.319–330.

DOI: 10.1016/j.compstruct.2005.07.017