H2 optimal vibration control using inertial actuators and a comparison with tuned mass dampers

被引:30
作者
Alujevic, N. [1 ]
Zhao, G. [1 ]
Depraetere, B. [2 ]
Sas, P. [1 ]
Pluymers, B. [1 ]
Desmet, W. [1 ]
机构
[1] Katholieke Univ Leuven, Prod Engn Machine Design & Automat PMA Sect, B-3001 Heverlee, Belgium
[2] Flanders Mechatron Technol Ctr, B-3001 Heverlee, Belgium
关键词
PASSIVE PIEZOELECTRIC ABSORBER; TIME-VARYING FREQUENCY; HARMONIC EXCITATIONS; STABILITY; LIMITS;
D O I
10.1016/j.jsv.2014.04.038
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The optimum resonance frequency and the damping coefficient for passive Tuned Mass Dampers (TMD) have been determined using various optimality criteria in the past. In this study an active damping method using Inertial Actuators (IAs) is considered. Closed form expressions for the H-2 optimal control parameters that minimise the kinetic energy of the primary structure are derived. It is shown that the resonance frequency of the IA should be as low as practically possible. However, for a given resonance frequency, an optimal pair exists of the passive damping coefficient of the IA and the feedback gain. Closed form expressions for these are provided in the paper. It is noted that the amount by which the described active approach outperforms an optimally tuned TMD having the same mass depends on the squared ratio of resonance frequencies of the IA and the primary structure. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4073 / 4083
页数:11
相关论文
共 35 条
[1]   Tuneable vibration absorber using acceleration and displacement feedback [J].
Alujevic, N. ;
Tomac, I. ;
Gardonio, P. .
JOURNAL OF SOUND AND VIBRATION, 2012, 331 (12) :2713-2728
[2]   Stability and performance limits for active vibration isolation using blended velocity feedback [J].
Alujevic, N. ;
Wolf, H. ;
Gardonio, P. ;
Tomac, I. .
JOURNAL OF SOUND AND VIBRATION, 2011, 330 (21) :4981-4997
[3]  
Brennan M. J., 1998, Smart Materials and Structures. Proceedings of the 4th European Conference on Smart Structures and Materials in conjunction with the 2nd International Conference on Micromechanics, Intelligent Materials and Robotics, P41
[4]   Vibration control using a tunable vibration neutralizer [J].
Brennan, MJ .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 1997, 211 (02) :91-108
[5]   An actively tuned solid-state vibration absorber using capacitive shunting of piezoelectric stiffness [J].
Davis, CL ;
Lesieutre, GA .
JOURNAL OF SOUND AND VIBRATION, 2000, 232 (03) :601-617
[6]  
Den Hartog J., 1934, MECH VIBRATIONS
[7]  
Den Hartog J.P., 1928, TRANSACTION AM SOC M, V50, P9
[8]   Feedback stability limits for active isolation systems with reactive and inertial actuators [J].
Elliott, SJ ;
Serrand, M ;
Gardonio, P .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2001, 123 (02) :250-261
[9]  
Frahm H., 1911, U.S. Patent, Patent No. [989, 958, 989958, 9,899,58A]
[10]   Adaptive passive vibration control [J].
Franchek, MA ;
Ryan, MW ;
Bernhard, RJ .
JOURNAL OF SOUND AND VIBRATION, 1996, 189 (05) :565-585