A quantitative analysis on the energy dissipation mechanism of the non-obstructive particle damping technology

The non-obstructive particle damping (NOPD) technology has been recently developed from particle damping and impact damping technologies. In this paper, a quantitative analysis of the dissipation mechanism of NOPD based on a statistical theory is investigated for the first time to our knowledge. Under high-frequency vibrations, the dense granular motion of NOPD is very similar to turbulence. Thus, Kolmogorov's hypothesis in turbulence is adopted to describe the energy spectral density and velocity correlation function of the particles in the NOPD technology. It is shown that the NOPD's mean energy dissipation (per unit mass) increases with either the granular diameter or the volume ratio of the dense granular flow. The quantitative model for the NOPD technology presented in the paper should be useful in possible engineering applications of vibration reduction.

[1]  H. Pak,et al.  CONVECTION AND SIZE SEGREGATION IN A COUETTE FLOW OF GRANULAR MATERIAL , 1997 .

[2]  Tianning Chen,et al.  Particle damping for passive vibration suppression: numerical modelling and experimental investigation , 2005 .

[3]  A. Kolmogorov The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[4]  G. Gioia,et al.  Fluctuating velocity and momentum transfer in dense granular flows. , 2006, Physical review letters.

[5]  K. Valanis,et al.  A numerical algorithm for endochronic plasticity and comparison with experiment , 1984 .

[6]  Particle dynamics in sheared granular matter , 2000, Physical review letters.

[7]  Tianning Chen,et al.  An experimental study of particle damping for beams and plates , 2004 .

[8]  Etsuo Marui,et al.  The damping capacity improvement of machine tool structures by balls packing , 2004 .

[9]  G. Gioia,et al.  Structure and kinematics in dense free-surface granular flow. , 2003, Physical review letters.

[10]  Hagop V. Panossian,et al.  Non-Obstructive Particle Damping (NOPD) Treatment Optimization for Composite Honeycomb Panels , 2007 .

[11]  Michael Yu Wang,et al.  Dissipation mechanisms of nonobstructive particle damping using discrete element method , 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[12]  S. Luding,et al.  Energy flows in vibrated granular media , 1998 .

[13]  R. Behringer,et al.  Fluctuations in granular media. , 1999, Chaos.

[14]  Hagop V. Panossian,et al.  Structural Damping Enhancement Via Non-Obstructive Particle Damping Technique , 1992 .

[15]  Jem A. Rongong,et al.  Energy dissipation prediction of particle dampers , 2009 .

[16]  Yuichi Taguchi k-5/3 Power Spectrum in Powder–Turbulent Flow in a Vibrated Bed: Numerical Results , 1993 .

[17]  Farhang Radjai,et al.  Turbulentlike fluctuations in quasistatic flow of granular media. , 2002, Physical review letters.

[18]  Kuanmin Mao,et al.  Simulation and Characterization of Particle Damping in Transient Vibrations , 2004 .

[19]  Zhanxin Liu,et al.  A non-obstructive particle damping model of DEM , 2008 .

[20]  Y-h. Taguchi,et al.  Powder turbulence: direct onset of turbulent flow , 1992 .

[21]  Tianning Chen,et al.  A Particle Damper For Vibration and Noise Reduction , 2004 .

[22]  A. Kolmogorov Dissipation of energy in the locally isotropic turbulence , 1941, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[23]  Masato Saeki,et al.  IMPACT DAMPING WITH GRANULAR MATERIALS IN A HORIZONTALLY VIBRATING SYSTEM , 2002 .

[24]  Hagop V. Panossian,et al.  Composite Honeycomb Treatment Via Non -Obstructive Particle Damping (NOPD) , 2004 .

[25]  Kuanmin Mao,et al.  DEM simulation of particle damping , 2004 .

[26]  D. Lohse,et al.  Onset of convection in strongly shaken granular matter. , 2010, Physical review letters.