Optimal Piezoelectric Potential Distribution for Controlling Multimode Vibrations

Vibration damping is prominent in engineering; in fact, vibrations are related to many phenomena (e.g., the fatigue of structural elements). The advent of smart materials has significantly increased the number of available solutions in this field. Among smart materials, piezoelectric materials are most promising. However, their efficiency depends on their placement. There are many studies on their optimal placement for damping a particular mode, but few account for multimodal vibrations damping. In a previous work, an analytical method was proposed to find the optimal placement of piezoelectric plates to control the multimode vibrations of a cantilever beam. In this study, the efficiency of the above method has been improved, considering all plates active simultaneously, regardless of the eigenmodes that are excited, and changing, instead of the plates, the potential distribution. The method results indicate the optimal potential distribution for different excited eigenmodes. The results have been compared with those obtained by experimental tests and numerical simulations, exhibiting very good agreement.

[1]  S. Narayanan,et al.  Active vibration control of beams with optimal placement of piezoelectric sensor/actuator pairs , 2008 .

[2]  Kongming Guo,et al.  Random Vibration Suppression of a Truss Core Sandwich Panel Using Independent Modal Resonant Shunt and Modal Criterion , 2017 .

[3]  I. Bruant,et al.  A methodology for determination of piezoelectric actuator and sensor location on beam structures , 2001 .

[4]  Dieter Peitsch,et al.  Numerical Assessment of Virtual Control Surfaces for Load Alleviation on Compressor Blades , 2018 .

[5]  Yaowen Yang,et al.  Integrated optimal design of vibration control system for smart beams using genetic algorithms , 2005 .

[6]  Christoph W. Schwingshackl,et al.  Optimal Placement of Piezoelectric Plates to Control Multimode Vibrations of a Beam , 2013 .

[7]  Manu Sharma,et al.  Optimization Criteria for Optimal Placement of Piezoelectric Sensors and Actuators on a Smart Structure: A Technical Review , 2010 .

[8]  R. Barboni,et al.  Optimal placement of PZT actuators for the control of beam dynamics , 2000 .

[9]  E. Poursaeidi,et al.  Fatigue crack growth simulation in a generator fan blade , 2009 .

[10]  Jong-Yun Yoon,et al.  Enhanced Adaptive Filtering Algorithm Based on Sliding Mode Control for Active Vibration Rejection of Smart Beam Structures , 2017 .

[11]  Ke Wang,et al.  Shunt Damping Vibration Control Technology: A Review , 2017 .

[12]  J. Kubiak Sz.,et al.  Failure analysis of steam turbine last stage blade tenon and shroud , 2007 .

[13]  Lucjan Witek,et al.  Experimental crack propagation and failure analysis of the first stage compressor blade subjected to vibration , 2009 .

[14]  Mary Frecker,et al.  Recent Advances in Optimization of Smart Structures and Actuators , 2003 .

[15]  S. Poh,et al.  Performance of an active control system with piezoelectric actuators , 1988 .

[16]  Quan Wang,et al.  Optimal placement and size of piezoelectric patches on beams from the controllability perspective , 2000 .

[17]  P. Seshu,et al.  Piezo actuator placement and sizing for good control effectiveness and minimal change in original system dynamics , 2006 .

[18]  Guoping Li,et al.  Experimental Identification and Vibration Control of A Piezoelectric Flexible Manipulator Using Optimal Multi-Poles Placement Control , 2017 .

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

[20]  Robert C. Wetherhold,et al.  Optimal Size and Location of Piezoelectric Actuator/Sensors: Practical Considerations , 1997, Adaptive Structures and Material Systems.

[21]  Singiresu S Rao,et al.  Distributed modeling and actuator location for piezoelectric control systems , 1996 .

[22]  Shueei-Muh Lin,et al.  Vibration of a rotating smart beam , 2007 .