Dynamic analogy between an electromagnetic shunt damper and a tuned mass damper

An electromagnetic shunt damper (EMSD) is composed of an electromagnetic damper connected to one or more RLC shunt circuits. Through a theoretical comparison, this paper reveals the similarity and difference between an EMSD and a tuned mass damper (TMD), both of which are resonant-type vibration absorbers. The equivalent mass, stiffness and damping coefficient of the EMSD are derived based on the transfer functions of structures with a TMD or an EMSD, and the functions of circuit capacitance and inductance are discussed accordingly. The optimal parameters of the RLC circuit in the EMSD are obtained through H∞ optimization. Despite their different optimal parameters, the EMSD and TMD exhibit comparable control performance with the same equivalent mass ratio. The dynamic analogy between these two types of dampers offers a new perspective for understanding novel EMSDs, given that TMDs have previously been extensively studied. The potentials and constraints of the EMSD are further discussed through numerical case studies in which EMSD control performance is examined in different situations.

[1]  Anooshiravan Farshidianfar,et al.  Ant colony optimization of tuned mass dampers for earthquake oscillations of high-rise structures including soil–structure interaction , 2013 .

[2]  E. J. Graesser,et al.  A Proposed Three-Dimensional Constitutive Model for Shape Memory Alloys , 1994 .

[3]  S.O.R. Moheimani,et al.  Passive vibration control via electromagnetic shunt damping , 2005, IEEE/ASME Transactions on Mechatronics.

[4]  Paolo Clemente,et al.  Semi-active Tuned Mass Damper control strategy for wind-excited structures , 2000 .

[5]  Tsuyoshi Inoue,et al.  Vibration Suppression Using Electromagnetic Resonant Shunt Damper , 2008 .

[6]  S.O.R. Moheimani,et al.  Inertial vibration control using a shunted electromagnetic transducer , 2006, IEEE/ASME Transactions on Mechatronics.

[7]  Andrew J. Fleming,et al.  Synthesis and implementation of sensor-less shunt controllers for piezoelectric and electromagnetic vibration control , 2004 .

[8]  F. Rüdinger.  Optimal vibration absorber with nonlinear viscous power law damping and white noise excitation , 2006 .

[9]  Y. Wen.  Equivalent Linearization for Hysteretic Systems Under Random Excitation , 1980 .

[10]  Gebrail Bekdaş,et al.  ESTIMATING OPTIMUM PARAMETERS OF TUNED MASS DAMPERS USING HARMONY SEARCH , 2011 .

[11]  Il-Kwon Oh,et al.  A current-flowing electromagnetic shunt damper for multi-mode vibration control of cantilever beams , 2009 .

[12]  Yen-Po Wang,et al.  Optimal design theories and applications of tuned mass dampers , 2006 .

[13]  Steen Krenk,et al.  Frequency Analysis of the Tuned Mass Damper , 2005 .

[14]  F. Casciati,et al.  Performance of Multi-TMD in the Towers of Suspension Bridges , 2009 .

[15]  Kiyoshi Kanai,et al.  Semi-empirical Formula for the Seismic Characteristics of the Ground , 1957 .

[16]  Yozo Fujino,et al.  Optimal tuned mass damper for seismic applications and practical design formulas , 2008 .

[17]  Egidio Rizzi,et al.  Minimax optimization of Tuned Mass Dampers under seismic excitation , 2011 .

[18]  Jerome J. Connor,et al.  Feasibility Study of Passive Electromagnetic Damping Systems , 2008 .

[19]  H. Tajimi,et al.  Statistical Method of Determining the Maximum Response of Building Structure During an Earthquake , 1960 .

[20]  Donatello Cardone,et al.  Implementation and testing of passive control devices based on shape memory alloys , 2000 .

[21]  Christoph Adam,et al.  Evaluation and analytical approximation of Tuned MassDamper performance in an earthquake environment , 2012 .

[22]  Nesbitt W. Hagood,et al.  Experimental investigation into passive damping enhancement for space structures , 1991 .

[23]  Rogelio Palomera-Arias.  Passive electromagnetic damping device for motion control of building structures , 2005 .

[24]  Xinong Zhang,et al.  A new electromagnetic shunt damping treatment and vibration control of beam structures , 2009 .

[25]  You-Lin Xu,et al.  Linear electromagnetic devices for vibration damping and energy harvesting: Modeling and testing , 2012 .

[26]  Xinong Zhang,et al.  A novel multimode negative inductance negative resistance shunted electromagnetic damping and its application on a cantilever plate , 2012 .

[27]  S. Hurlebaus,et al.  Seismic Response Control Using Shape Memory Alloys: A Review , 2011 .

[28]  Ahsan Kareem,et al.  Semi-active tuned liquid column dampers for vibration control of structures , 2001 .

[29]  J. Ormondroyd.  Theory of the Dynamic Vibration Absorber , 1928 .

[30]  André Preumont,et al.  Active and passive vibration isolation and damping via shunted transducers , 2007 .

[31]  Shu-yau Wu.  Method for Multiple Mode Piezoelectric Shunting with Single PZT Transducer for Vibration Control , 1998 .

[32]  Emiliano Rustighi,et al.  A shape memory alloy adaptive tuned vibration absorber: design and implementation , 2005 .

[33]  Roberto Villaverde,et al.  Fundamental Concepts of Earthquake Engineering , 2009 .

[34]  Satish Nagarajaiah,et al.  Short time Fourier transform algorithm for wind response control of buildings with variable stiffness TMD , 2005 .

[35]  Chi-Chang Lin,et al.  Optimum design and experimental study of multiple tuned mass dampers with limited stroke , 2010 .

[36]  James M. Kelly,et al.  Mass Damper Using Friction-Dissipating Devices , 1995 .

[37]  R. S. Jangid,et al.  Optimization of multiple tuned mass dampers for vibration control of system under external excitation , 2013 .

[38]  S. O. Reza Moheimani,et al.  Synthesis and implementation of sensor-less active shunt controllers for electromagnetically actuated systems , 2005, IEEE Transactions on Control Systems Technology.

[39]  M. Dolce,et al.  Mechanical behaviour of shape memory alloys for seismic applications 2. Austenite NiTi wires subjected to tension , 2001 .