Vibration Control of Double-Beam System with Multiple Smart Damping Members

A control method to stabilize vibration of a double cantilever system with a set of smart damping blocks is designed and numerically evaluated. The externally controlled magnetorheological sheared elastomer damping block is considered, but other smart materials can be used as well. The robust bang-bang control law for stabilization the bilinear system is elaborated. The key feature of the closed loop controller is the efficiency for different types of initial excitement. By employing the finite element model, the performance of the controller is validated for strong wind blow load and concentrated impact excitement of the particular point of one of the beams. For each of the excitations, the closed loop control outperforms the optimal passive damping case by over 27% for the considered energy metric.

[1]  Maurice Petyt,et al.  Introduction to finite element vibration analysis , 1990 .

[2]  A. Zinober,et al.  Continuous approximation of variable structure control , 1986 .

[3]  Jian-Qiao Sun,et al.  A NON-LINEAR VARIABLE STIFFNESS FEEDBACK CONTROL WITH TUNING RANGE AND RATE SATURATION , 1997 .

[4]  Dominik Pisarski,et al.  Smart Suspension System for Linear Guideways , 2011, J. Intell. Robotic Syst..

[5]  Ronald R. Mohler,et al.  Natural Bilinear Control Processes , 1970, IEEE Trans. Syst. Sci. Cybern..

[6]  Dominik Pisarski,et al.  Vibration control in smart coupled beams subjected to pulse excitations , 2016 .

[7]  Wieslaw Ostachowicz,et al.  Magnetic shape memory alloys for forced vibration control of beam-like structures , 2007 .

[8]  Nader Jalili,et al.  A switched stiffness approach for structural vibration control: theory and real-time implementation , 2006 .

[9]  Jann N. Yang,et al.  RESETTING SEMIACTIVE STIFFNESS DAMPER FOR SEISMIC RESPONSE CONTROL , 2000 .

[10]  J. Béliveau.  Introduction to finite element vibration analysis , 1992 .

[11]  Czesław I. Bajer,et al.  Damping properties of a beam with vacuum-packed granular damper , 2015 .

[12]  Takuji Kobori,et al.  Active variable stiffness system with non‐resonant control , 2001 .

[13]  Junjiro Onoda,et al.  Vibration Suppression by Variable-Stiffness Members , 1990 .

[14]  Tomasz Szmidt.  Shear deformation damping of a double-beam structure , 2016 .

[15]  Farhan Gandhi,et al.  Beams with controllable flexural stiffness , 2007, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[16]  Satish Nagarajaiah,et al.  Effectiveness of Variable Stiffness Systems in Base-isolated Bridges Subjected to Near-fault Earthquakes: An Experimental and Analytical Study , 2005 .

[17]  Dominik Pisarski,et al.  Distributed Control Design for Structures Subjected to Traveling Loads , 2015 .

[18]  Jan Holnicki-Szulc,et al.  Prestress Accumulation-Release Technique for Damping of Impact-Born Vibrations: Application to Self-Deployable Structures , 2015 .

[19]  Richard G. Cobb,et al.  A variable stiffness device selection and design tool for lightly damped structures , 2005 .

[20]  Ernie Havens,et al.  Adaptive wing structures , 2004, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[21]  Czesław I. Bajer,et al.  Semi-active control of a sandwich beam partially filled with magnetorheological elastomer , 2015 .