Abstract

In this paper, a hybrid mass damper (HMD) and its hyperstability due to a power flow approach are studied. The HMD proposed combines an active control system with an optimal passive device. The initial passive system is an electromagnetic tuned mass damper (TMD) and the control law is a modified velocity feedback with a phase compensator. The resulting hybrid controller system is theoretically hyperstable and ensures fail-safe behavior. Experiments are performed to validate the numerical simulation and provide good results in terms of vibration attenuations. Both excitation from the bottom in the frequency domain and shock response in the time domain are tested and analyzed. The different power flows in terms of active and reactive powers are estimated numerically and experimentally on the inertial damper (passive and active) and on the HMD. Moreover, through a mechanical analogy of the proposed system, it is shown that this hybrid device can be seen as an active realization of an inerter based tuned-mass-damper associated with a sky-hook damper. Observations and analysis provide insight into the hyperstable behavior imposed by the specific control law.

References

1.
Aly
,
A. M.
,
2014
, “
Proposed Robust Tuned Mass Damper for Response Mitigation in Buildings Exposed to Multidirectional Wind
,”
The Structural Design of Tall and Special Buildings
,
23
(
9
), pp.
664
691
.
2.
Arfiadi
,
Y.
,
2017
, “
Nonlinear Controllers for Active Composite Tuned Mass Dampers
,”
Procedia Eng.
,
171
, pp.
1178
1185
.
3.
Sakr
,
T. A.
,
2017
, “
Vibration Control of Buildings by Using Partial Floor Loads As Multiple Tuned Mass Dampers
,”
HBRC J.
,
13
(
2
), pp.
133
144
.
4.
Salvi
,
J.
,
Rizzi
,
E.
,
Rustighi
,
E.
, and
Ferguson
,
N. S.
,
2015
, “
On the Optimization of a Hybrid Tuned Mass Damper for Impulse Loading
,”
Smart Mater. Struct.
,
24
(
8
), p.
085010
.
5.
Xiang
,
P.
, and
Nishitani
,
A.
,
2014
, “
Optimum Design for More Effective Tuned Mass Damper System and Its Application to Base-Isolated Buildings
,”
Struct. Control Health Monitor.
,
21
(
1
), pp.
98
114
.
6.
Den Hartog
,
J.
,
1956
,
Mechanical Vibrations
,
McGraw-Hill Book Company
,
New York
, pp.
122
169
.
7.
Habib
,
G.
,
Detroux
,
T.
,
Viguié
,
R.
, and
Kerschen
,
G.
,
2015
, “
Nonlinear Generalization of Den Hartog’s Equal-Peak Method
,”
Mech. Syst. Signal Process.
,
52
, pp.
17
28
.
8.
Asami
,
T.
,
Nishihara
,
O.
, and
Baz
,
A. M.
,
2002
, “
Analytical Solutions to H∞ and H2 Optimization of Dynamic Vibration Absorbers Attached to Damped Linear Systems
,”
ASME J. Vib. Acoust.
,
124
(
2
), pp.
284
295
.
9.
Calafiore
,
G. C.
, and
Campi
,
M. C.
,
2006
, “
The Scenario Approach to Robust Control Design
,”
IEEE Trans. Automat. Contr.
,
51
(
5
), pp.
742
753
.
10.
Soltani
,
P.
,
Kerschen
,
G.
,
Tondreau
,
G.
, and
Deraemaeker
,
A.
,
2014
, “
Piezoelectric Vibration Damping Using Resonant Shunt Circuits: An Exact Solution
,”
Smart Mater. Struct.
,
23
(
12
), p.
125014
.
11.
Ali
,
S. F.
, and
Adhikari
,
S.
,
2013
, “
Energy Harvesting Dynamic Vibration Absorbers
,”
ASME J. Appl. Mech.
,
80
(
4
), p.
041004
.
12.
Zhou
,
D.
,
Hansen
,
C.
, and
Li
,
J.
,
2011
, “
Suppression of Maglev Vehicle–Girder Self-Excited Vibration Using a Virtual Tuned Mass Damper
,”
J. Sound Vib.
,
330
(
5
), pp.
883
901
.
13.
Hagood
,
N. W.
, and
von Flotow
,
A.
,
1991
, “
Damping of Structural Vibrations With Piezoelectric Materials and Passive Electrical Networks
,”
J. Sound Vib.
,
146
(
2
), pp.
243
268
.
14.
Zhou
,
S.
,
Jean-Mistral
,
C.
, and
Chesné
,
S.
,
2019
, “
Electromagnetic Shunt Damping With Negative Impedances: Optimization and Analysis
,”
J. Sound Vib.
,
445
, pp.
188
203
.
15.
Lu
,
Z.
,
Chen
,
X.
, and
Zhou
,
Y.
,
2017
, “
An Equivalent Method for Optimization of Particle Tuned Mass Damper Based on Experimental Parametric Study
,”
J. Sound Vib.
,
419
, pp.
571
584
.
16.
Preumont
,
A.
, and
Seto
,
K.
,
2008
,
Active Control of Structures
,
John Wiley & Sons
.
17.
Fanson
,
J. L.
,
1987
, “
An Experimental Investigation of Vibration Suppression in Large Space Structures Using Positive Position Feedback
,” Ph.D. thesis,
California Institute of Technology
.
18.
Goh
,
C. J.
,
1983
, “
Analysis and Control of Quasi Distributed Parameter Systems
,” Ph.D. thesis,
California Institute of Technology
.
19.
Preumont
,
A.
,
2002
,
Vibration Control of Active Structures: An Introduction
, Vol.
246
,
Springer
.
20.
Aphale
,
S. S.
,
Fleming
,
A. J.
, and
Moheimani
,
S. R.
,
2007
, “
Integral Resonant Control of Collocated Smart Structures
,”
Smart Mater. Struct.
,
16
(
2
), p.
439
.
21.
Diaz
,
I. M.
,
Pereira
,
E.
, and
Reynolds
,
P.
,
2012
, “
Integral Resonant Control Scheme for Cancelling Human-Induced Vibrations in Light-Weight Pedestrian Structures
,”
Struct. Control Health Monitor.
,
19
(
1
), pp.
55
69
.
22.
Fodor
,
M.
, and
Redfield
,
R.
,
1993
, “
The Variable Linear Transmission for Regenerative Damping in Vehicle Suspension Control
,”
Veh. Syst. Dyn.
,
22
(
1
), pp.
1
20
.
23.
Suda
,
Y.
,
Nakadai
,
S.
, and
Nakano
,
K.
,
1998
, “
Hybrid Suspension System With Skyhook Control and Energy Regeneration (development of Self-Powered Active Suspension)
,”
Veh. Syst. Dyn.
,
29
(
S1
), pp.
619
634
.
24.
Diaz
,
I.
, and
Reynolds
,
P.
,
2009
, “
Robust Saturated Control of Human-Induced Floor Vibrations Via a Proof-Mass Actuator
,”
Smart Mater. Struct.
,
18
(
12
), p.
125024
.
25.
Collette
,
C.
, and
Chesne
,
S.
,
2016
, “
Robust Hybrid Mass Damper
,”
J. Sound Vib.
,
375
, pp.
19
27
.
26.
Elliott
,
S.
,
Rohlfing
,
J.
, and
Gardonio
,
P.
,
2012
, “
Multifunctional Design of Inertially-Actuated Velocity Feedback Controllers
,”
J. Acoust. Soc. Am.
,
131
(
2
), pp.
1150
1157
.
27.
Rohlfing
,
J.
,
Elliott
,
S.
, and
Gardonio
,
P.
,
2012
, “
Feedback Compensator for Control Units With Proof-Mass Electrodynamic Actuators
,”
J. Sound Vib.
,
331
(
15
), pp.
3437
3450
.
28.
Kras
,
A.
, and
Gardonio
,
P.
,
2017
, “
Velocity Feedback Control With a Flywheel Proof Mass Actuator
,”
J. Sound Vib.
,
402
, pp.
31
50
.
29.
Chesné
,
S.
,
Inquiete
,
G.
,
Cranga
,
P.
,
Legrand
,
F.
, and
Petitjean
,
B.
,
2019
, “
Innovative Hybrid Mass Damper for Dual-Loop Controller
,”
Mech. Syst. Signal Process.
,
115
, pp.
514
523
.
30.
Cheung
,
Y.
,
Wong
,
W.
, and
Cheng
,
L.
,
2012
, “
Design Optimization of a Damped Hybrid Vibration Absorber
,”
J. Sound Vib.
,
331
(
4
), pp.
750
766
.
31.
Tso
,
M.
,
Yuan
,
J.
, and
Wong
,
W.
,
2013
, “
Design and Experimental Study of a Hybrid Vibration Absorber for Global Vibration Control
,”
Eng. Struct.
,
56
, pp.
1058
1069
.
32.
Hagedorn
,
P.
, and
Spelsberg-Korspeter
,
G.
,
2014
,
Active and Passive Vibration Control of Structures
,
Springer
.
33.
Rodriguez
,
J.
,
Cranga
,
P.
,
Chesne
,
S.
, and
Gaudiller
,
L.
,
2016
, “
Hybrid Active Suspension System of a Helicopter Main Gearbox
,”
J. Vib. Control
,
24
(
5
), pp.
956
974
.
34.
Olgac
,
N.
, and
Holm-Hansen
,
B.
,
1994
, “
A Novel Active Vibration Absorption Technique: Delayed Resonator
,”
J. Sound Vib.
,
176
(
1
), pp.
93
104
.
35.
Alujević
,
N.
,
Tomac
,
I.
, and
Gardonio
,
P.
,
2012
, “
Tuneable Vibration Absorber Using Acceleration and Displacement Feedback
,”
J. Sound Vib.
,
331
(
12
), pp.
2713
2728
.
36.
Mayer
,
D.
, and
Herold
,
S.
,
2018
,
Passive, Adaptive, Active Vibration Control, and Integrated Approaches
, 04.
37.
Chesné
,
S.
, and
Collette
,
C.
,
2017
, “
Experimental Validation of Fail-Safe Hybrid Mass Damper
,”
J. Vib. Control
,
24
(
19
), pp.
4395
4406
.
38.
Mahajan
,
S.
, and
Redfield
,
R.
,
1998
, “
Power Flow in Linear, Active Vibration Isolation Systems
,”
ASME J. Vib. Acoust.
,
120
(
2
), pp.
571
578
.
39.
Camperi
,
S.
,
Tehrani
,
M. G.
, and
Elliott
,
S. J.
,
2018
, “
Parametric Study on the Optimal Tuning of An Inertial Actuator for Vibration Control of a Plate: Theory and Experiments
,”
J. Sound Vib.
,
435
, pp.
1
22
.
40.
Camperi
,
S.
,
Tehrani
,
M. G.
, and
Elliott
,
S. J.
,
2019
, “
Local Tuning and Power Requirements of a Multi-Input Multi-Output Decentralised Velocity Feedback With Inertial Actuators
,”
Mech. Syst. Signal Process.
,
117
, pp.
689
708
.
41.
Inquiete
,
G.
,
Cranga
,
P.
, and
Chesné
,
S.
,
2017
, “
Resonator, and an Aircraft Fitted With the Resonator
,” U.S. Patent App. 15/610, 735, Dec. 7.
42.
Slotine
,
J. J. E.
, and
Li
,
W.
,
1991
,
Applied Nonlinear Control
, Vol.
199
,
Prentice Hall
,
Englewood Cliffs, NJ
.
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