Vibration suppression of laminated composite beams using actuators of giant magnetostrictive materials

This paper presents a simulation of vibration suppression of a laminated composite beam embedded with actuators of a giant magnetostrictive material subjected to control magnetic fields. It has been found that the strains generated in the material are not only significantly larger than ones created by many other smart materials but also exhibit some inherent nonlinearities. To utilize the full potential of these materials in active vibration control, these nonlinearities should be characterized in the control system as accurately as possible. In this simulation of nonlinear dynamic controls, the control law with negative velocity feedback and the analytical nonlinear constitutive model of the magnetostrictive layer are employed. The numerical results show that this proposed approach is efficient not only in a linear zone but also in nonlinear zones (dead zone and saturation zone) of magnetostrictive curves in vibration suppression. Compared with those from the control system based on the linear constitutive relations of the material, it is found that the simulation results based on the linear model are efficient only when the magnetostrictive relations are located in the linear zone. Once the system has some departure from the linear zone, however, the results from the linear model become unacceptable. Finally, the effect of material properties, lamination schemes and location of the magnetostrictive layers on vibration suppression of the practical system is evaluated.

[1]  Youhe Zhou,et al.  Active vibration control of nonlinear giant magnetostrictive actuators , 2006 .

[2]  Youhe Zhou,et al.  Vibration control of piezoelectric beam-type plates with geometrically nonlinear deformation , 2004 .

[3]  Youhe Zhou,et al.  Active control of nonlinear piezoelectric circular shallow spherical shells , 2000 .

[4]  J. N. Reddy,et al.  Control of laminated composite plates using magnetostrictive layers , 2001 .

[5]  Frederick T. Calkins,et al.  High bandwidth tunability in a smart vibration absorber , 1998, Smart Structures.

[6]  P. Subramanian,et al.  Vibration suppression of symmetric laminated composite beams , 2002 .

[7]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[8]  Muniswam Appa Anjanappa,et al.  Modeling, design, and control of embedded Terfenol-D actuator , 1993, Smart Structures.

[9]  J. N. Reddy,et al.  On vibration suppression of magnetostrictive beams , 2000 .

[10]  Horn-Sen Tzou,et al.  Nonlinear Piezothermoelasticity and Multi-Field Actuations, Part 2: Control of Nonlinear Deflection, Buckling and Dynamics , 1997 .

[11]  Huibin Xu,et al.  Giant magnetostrictive actuators for active vibration control , 2004 .

[12]  Horn-Sen Tzou,et al.  DYNAMICS AND CONTROL OF NON-LINEAR CIRCULAR PLATES WITH PIEZOELECTRIC ACTUATORS , 1995 .

[13]  Xiaojing Zheng,et al.  A nonlinear constitutive model for Terfenol-D rods , 2005 .

[14]  A. V. Krishna Murty,et al.  THE USE OF MAGNETOSTRICTIVE PARTICLE ACTUATORS FOR VIBRATION ATTENUATION OF FLEXIBLE BEAMS , 1997 .

[15]  Qing Jiang,et al.  VIBRATION CONTROL OF VARIABLE THICKNESS PLATES WITH PIEZOELECTRIC SENSORS AND ACTUATORS BASED ON WAVELET THEORY , 2000 .

[16]  Yijun Liu,et al.  Boundary formulation and numerical analysis of elastic bodies with surface-bonded piezoelectric films , 2002 .

[17]  M Anjanappa,et al.  A theoretical and experimental study of magnetostrictive mini-actuators. , 1994 .

[18]  P. A Bartlett,et al.  High-power, low frequency magnetostrictive actuation for anti-vibration applications , 2001 .

[19]  Kenzo Miya,et al.  An analysis of variable magnetic damping of a cantilever beam-plate with end coils in transverse magnetic fields , 2001 .

[20]  N. Ganesan,et al.  Active control of beam with magnetostrictive layer , 2003 .

[21]  Craig A. Rogers,et al.  Dynamic transduction characterization of magnetostrictive actuators , 1996 .

[22]  T. Bailey,et al.  Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam , 1985 .

[23]  Amr M. Baz,et al.  Active vibration control of flexible beams using shape memory actuators , 1990 .

[24]  Le Sun,et al.  Numerical simulation on coupling behavior of Terfenol-D rods , 2006 .

[25]  Alison B. Flatau,et al.  Statistical analysis of Terfenol-D material properties , 1997, Smart Structures.