Vibration Control of Structures With Closely Spaced Frequencies by a Single Actuator

A variable gain direct velocity feedback is proposed to control vibrations in structures with two closely spaced natural frequencies using a single actuator. First, limitation of the conventional constant gain velocity feedback is discussed based on perturbation analysis of the free response of structures with two vibration modes and a single actuator. Then, a variable gain feedback is constructed from the physical intuitions obtained from these solutions. The variable feedback gain is derived in terms of the state of the system while the feedback loop remains direct velocity feedback Numerical studies confirm the efficiency of the proposed method.

[1]  Shinji Hokamoto,et al.  LAC/HAC System with a Variable Feedback Gain for Flexible Space Structures , 1994 .

[2]  M. Balas.  Direct Velocity Feedback Control of Large Space Structures , 1979 .

[3]  M. Rabins,et al.  Semi‐Active versus Passive or Active Tuned Mass Dampers for Structural Control , 1983 .

[4]  Masato Abe,et al.  Tuned mass dampers for structures with closely spaced natural frequencies , 1995 .

[5]  M. Athans,et al.  On the determination of the optimal constant output feedback gains for linear multivariable systems , 1970 .

[6]  Kazuto Seto,et al.  On the Effect of a Variable Stiffness-type Dynamic Absorber with Eddy-current Damping , 1978 .

[7]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[8]  Anil K. Chopra,et al.  Effects of Torsional Coupling on Earthquake Forces in Buildings , 1977 .

[9]  T. Igusa,et al.  A COMBINED GLOBAL/LOCAL CONTROL CONCEPT FOR TRUSS STRUCTURES , 1993 .

[10]  Takeru Igusa,et al.  SEMI-ACTIVE DYNAMIC VIBRATION ABSORBERS FOR CONTROLLING TRANSIENT RESPONSE , 1996 .

[11]  Peter H. Meckl,et al.  Effect of actuator coupling on active vibration control of flexible structures , 1994 .

[12]  An-Chen Lee,et al.  Collocated Sensor/Actuator Positioning and Feedback Design in the Control of Flexible Structure System , 1994 .

[13]  J. Aubrun.  Theory of the control of structures by low authority controllers , 1978 .

[14]  Jer-Nan Juang.  Optimal Design of a Passive Vibration Absorber for a Truss Beam , 1984 .

[15]  Robert L. Forward,et al.  Electronic Damping of Orthogonal Bending Modes in a Cylindrical Mast—Experiment , 1981 .

[16]  Richard W. Longman,et al.  Active Control Technology for Large Space Structures , 1993 .

[17]  C. J. Swigert,et al.  Electronic Damping of Orthogonal Bending Modes in a Cylindrical Mast—Theory , 1981 .

[18]  Mark J. Balas,et al.  Trends in large space structure control theory: Fondest hopes, wildest dreams , 1982 .

[19]  T. L. Vincent,et al.  Control for Energy Dissipation in Structures , 1988 .

[20]  G. B. Warburton,et al.  Optimum absorber parameters for minimizing vibration response , 1981 .

[21]  Morris,et al.  NSWC Library of Mathematics Subroutines , 1990 .

[22]  Takeru Igusa,et al.  Dynamic characteristics of non‐classically damped structures , 1991 .

[23]  P. Warnitchai,et al.  Active control of a structure with two closely spaced natural frequencies , 1992 .

[24]  Leonard Meirovitch,et al.  Dynamics And Control Of Structures , 1990 .

[25]  Masato Abe,et al.  Vibration control using analytically based artificial intelligence , 1995 .

[26]  Yozo Fujino,et al.  Design formulas for tuned mass dampers based on a perturbation technique , 1993 .

[27]  Singiresu S Rao,et al.  Modeling, Control, and Design of Flexible Structures: A Survey , 1990 .