Characterization, Modeling and Vibration Control of a Flexible Rubber Beam With Embedded Piezoelectric Actuators and Sensors

Author(s):  
Matthew L. Grier ◽  
Nader Jalili

A cantilever rubber beam with laminated piezoelectric actuators and sensors is initially tested to determine the properties governing the dynamic behavior of the beam. Various techniques are employed to estimate beam properties such as elastic stiffness, damping coefficient and natural frequencies, as well as piezoelectric actuator capabilities for vibration control purposes. A simplified Euler-Bernoulli model is proposed, which is validated using the properties previously discovered. A passive electric shunt circuit is then proposed for the beam vibration suppression, when subjected to external excitation forces. Simulation of a series resistor-inductor shunt circuit is used to demonstrate the capability of altering the beam’s dynamic behavior. Various methods for tuning the shunt circuit are explored in an effort to achieve optimal vibration suppression characteristics. Furthermore, experimental testing is conducted for validation of simulation results, which also yields similar information about passive shunting techniques for vibration damping.

Author(s):  
M. J. Tzeng ◽  
W. Z. Wu

Abstract Active vibration control of smart structural materials (beam and plate) has been achieved by using distributed piezoelectric actuators. Numerical simulation and experimental testing have been conducted to investigate vibration suppression of the advanced structures. Results from simulation and testing are in satisfactory agreement.


Author(s):  
Lawrence R. Corr ◽  
William W. Clark

Abstract This paper presents a numerical study in which active and hybrid vibration confinement is compared with a conventional active vibration control method. Vibration confinement is a vibration control technique that is based on reshaping structural modes to produce “quiet areas” in a structure as opposed to adding damping as in conventional active or passive methods. In this paper, active and hybrid confinement is achieved in a flexible beam with two pairs of piezoelectric actuators and sensors and with two vibration absorbers. For comparison purposes, active damping is achieved also with two pairs of piezoelectric actuators and sensors using direct velocity feedback. The results show that both approaches are effective in controlling vibrations in the targeted area of the beam, with direct velocity feedback being slightly more cost effective in terms of required power. When combined with passive confinement, however, each method is improved with a significant reduction in required power.


2004 ◽  
Vol 10 (8) ◽  
pp. 1199-1220 ◽  
Author(s):  
Akhilesh K. Jha ◽  
Daniel J. Inman

Gossamer structures have been a subject of renewed interest for space applications because of their low weights, on-orbit deploying capabilities, and minimal stowage volumes. In this study, vibration suppression of an inflated structure using piezoelectric actuators and sensors has been attempted. These actuators and sensors can be suitably used for gossamer structures since they can conform to curved surfaces and provide distributed actuation and sensing capabilities. Using the natural frequencies and mode shapes of the system (structure, actuators, and sensors), a state-space model is derived. For designing a robust vibration controller, we used a sliding mode technique. The derivations of the sliding model controller and observer are presented in details. Finally, by means of numerical analysis, the method was demonstrated for an inflated torus considering Macro-Fiber Composite (MFC™) as actuators and Polyvinylidene Fluoride (PVDF) as sensors. The simulation studies show that the piezoelectric actuators and sensors are suitable for vibration suppression of an inflatable torus. The robustness properties of the controller and observer against the parameter uncertainty and disturbances are also studied.


Author(s):  
Taichi Matsuoka ◽  
Katsuaki Sunakoda ◽  
Kazuhiko Hiramoto ◽  
Issei Yamazaki ◽  
Akira Fukukita ◽  
...  

In a previous paper the authors proposed a semi-active vibration control device (VCD) that generates power. The device utilizes a ball screw, and has inertial and damping forces. The damping coefficient is adjusted by altering resistance at the terminal of the power generator. A small-scale VCD was manufactured for experimental testing. Frequency responses of a small-scale spring mass structure were measured in order to confirm the effects of vibration suppression within a wide range of frequencies. In this paper, as the next step, vibration tests using a benchmark structure with an installed VCD that has a 30 kN capacity are carried out at the National Center for Research on Earthquake Engineering (NCREE) in Taiwan. The benchmark structure has three stories with a 3 m height and a mass of 6 tons at each floor level for a total height and weight of 9 m and 18 tons, respectively. The VCDs are installed between adjacent floors with steel chevron braces. A simple control law that is based on a minimized Lyapunov function and employs bang-bang operation is used as a variable current controller instead of the modifying the resistance level of the VCD. Scaled earthquake motions including the Imperial Valley El Centro north-south component that is normalized to be a peak level of 0.5 m/s2, are applied to the base of the steel framed structure in the horizontal direction by a shaking table. Experimental responses of each floor for the uncontrolled and controlled cases are compared with analytical responses, and effects of vibration suppression for the large-scale model are discussed quantitatively.


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