Optimum design of a novel pounding tuned mass damper under harmonic excitation

In this paper, a novel pounding tuned mass damper (PTMD) utilizing pounding damping is proposed to reduce structural vibration by increasing the damping ratio of a lightly damped structure. The pounding boundary covered by viscoelastic material is fixed right next to the tuned mass when the spring–mass system is in the equilibrium position. The dynamic properties of the proposed PTMD, including the natural frequency and the equivalent damping ratio, are derived theoretically. Moreover, the numerical simulation method by using an impact force model to study the PTMD is proposed and validated by pounding experiments. To minimize the maximum dynamic magnification factor under harmonic excitations, an optimum design of the PTMD is developed. Finally, the optimal PTMD is implemented to control a lightly damped frame structure. A comparison of experimental and simulated results reveals that the proposed impact force model can accurately model the pounding force. Furthermore, the proposed PTMD is effective to control the vibration in a wide frequency range, as demonstrated experimentally.

[1]  Sami F. Masri,et al.  Parametric studies of the performance of particle dampers under harmonic excitation , 2009 .

[2]  Dong Du,et al.  Performance and parametric study of infinite-multiple TMDs for structures under ground acceleration by H∞ optimization , 2007 .

[3]  G. B. Warburton,et al.  Optimum absorber parameters for simple systems , 1980 .

[4]  Nawawi Chouw,et al.  A generic structural pounding model using numerically exact displacement proportional damping , 2014 .

[5]  Gangbing Song,et al.  Vibration Control of a Pipeline Structure Using Pounding Tuned Mass Damper , 2016 .

[6]  Felix Weber,et al.  Frequency and damping adaptation of a TMD with controlled MR damper , 2012 .

[7]  Lap-Loi Chung,et al.  Optimal design of friction pendulum tuned mass damper with varying friction coefficient , 2013 .

[8]  Hamid M. Lankarani,et al.  A Contact Force Model With Hysteresis Damping for Impact Analysis of Multibody Systems , 1989 .

[9]  Lei Zuo,et al.  Minimax optimization of multi-degree-of-freedom tuned-mass dampers , 2004 .

[10]  Hamid M. Lankarani,et al.  Continuous contact force models for impact analysis in multibody systems , 1994, Nonlinear Dynamics.

[11]  T. T. Soong,et al.  Parametric study and simplified design of tuned mass dampers , 1998 .

[12]  Hongping Zhu,et al.  A note on the Hertz contact model with nonlinear damping for pounding simulation , 2009 .

[13]  Seung-Bok Choi,et al.  Optimal design of a vehicle magnetorheological damper considering the damping force and dynamic range , 2008 .

[14]  Gangbing Song,et al.  Parametric study of pounding tuned mass damper for subsea jumpers , 2015 .

[15]  Jae-Sung Bae,et al.  Vibration suppression of a cantilever beam using magnetically tuned-mass-damper , 2012 .

[16]  Alexander F. Vakakis,et al.  Experimental Testing and Numerical Simulation of a Six-Story Structure Incorporating Two-Degree-of-Freedom Nonlinear Energy Sink , 2014 .

[17]  Hong-Nan Li,et al.  Robustness study of the pounding tuned mass damper for vibration control of subsea jumpers , 2015 .

[18]  Wei-Hsin Liao,et al.  On the analysis of viscoelastic materials for active constrained layer damping treatments , 1997 .

[19]  Alexander F. Vakakis,et al.  Numerical and experimental investigation of a highly effective single-sided vibro-impact non-linear energy sink for shock mitigation , 2013 .

[20]  Margarida F. Machado,et al.  On the continuous contact force models for soft materials in multibody dynamics , 2011 .

[21]  Chunwei Zhang,et al.  Control Performance and Robustness of Pounding Tuned Mass Damper for Vibration Reduction in SDOF Structure , 2016 .

[22]  B. F. Spencer,et al.  STATE OF THE ART OF STRUCTURAL CONTROL , 2003 .

[23]  Gangbing Song,et al.  Seismic Control of Power Transmission Tower Using Pounding TMD , 2013 .

[24]  R. Jankowski,et al.  MODIFIED LINEAR VISCOELASTIC MODEL OF EARTHQUAKE-INDUCED STRUCTURAL POUNDING , 2011 .

[25]  Neil D. Sims,et al.  Vibration absorbers for chatter suppression: A new analytical tuning methodology , 2007 .

[26]  Zheng Lu,et al.  Studies of the performance of particle dampers attached to a two-degrees-of-freedom system under random excitation , 2011 .

[27]  C. N. Bapat,et al.  Single unit impact damper in free and forced vibration , 1985 .

[28]  Vikram K. Kinra,et al.  PARTICLE IMPACT DAMPING , 1999 .

[29]  G. B. Warburton,et al.  Optimum absorber parameters for various combinations of response and excitation parameters , 1982 .

[30]  Xilin Lu,et al.  Studies of the performance of particle dampers under dynamic loads , 2010 .

[31]  Robert Jankowski,et al.  Non‐linear viscoelastic modelling of earthquake‐induced structural pounding , 2005 .

[32]  Wei-Hsin Liao,et al.  An Empirical Method for Particle Damping Design , 2004 .

[33]  C. S. Cai,et al.  Theoretical exploration of a taut cable and a TMD system , 2007 .

[34]  S. F. Masri,et al.  Analytical and Experimental Studies of Multiple‐Unit Impact Dampers , 1969 .