Optimal Placement of Piezoelectric Macro Fiber Composite Patches on Composite Plates for Vibration Suppression

Abstract

The increasing demand for light structures in important applications highlights the necessity for using advanced methods in their design, as the structural optimization and optimal control. With sensors and actuators integrated through control systems, these structures have the capacity of sensing environment changes, diagnose localized problems, store and process measured data. They are, then, able to take appropriate action to improve the efficiency of the system or to preserve their structural integrity and safety [Cheng et al. (2008)]. Important applications, according to Abstract This work presents a new methodology for the parametric optimization of piezoelectric actuators installed in laminated composite structures, with the objective of controlling structural vibrations. Problem formulation is the optimum location of a Macro Fiber Composite (MFC) actuator patch by means the maximization of the controllability index. The control strategy is based on a Linear Quadratic Regulator (LQR) approach. For the structural analysis, the modeling of the interaction between the MFC and the structure is made taking into account the active material as one of the orthotropic laminate shell layers. The actuation itself is modeled as an initial strain arising from the application of an electric potential which deforms the rest of the structure. Thereby, modeling the electric field and the electromechanical coupling within the actuator is avoided because these effects are considered analytically. Numerical simulations show that the structural model presents good agreement with numerical and experimental results. Furthermore, the results show that optimizing the location of the actuator in the structure helps the control algorithm to reduce induced structural vibration. KeywordsParametric optimization, macro fiber composite, LQR optimal control, laminated composite material. Crawley (1994), are systems that can sense induced vibration and, thus, applying forces to control the amplitudes. Smart structures are applied mainly in the aerospace industry, where they can be found, for instance, in flexible robot manipulators [Zimcik and Yousefi (2003)]. EduardoThe development of methods to design smart structures is a promising research field, fueled by the existing demand for these structures and the great range of possible applications. In the research area of structural design, the topologic and parametric optimization methods contribute efficiently in the design of lighter structures, decreasing costs and the material utilized, evidencing the sustainability aspects of these approaches [Haftka and Gürdal (1991), Bendsøe and Sigmund (2003)].Optimized structures usually present reduced mass and low internal damping. These features induce the occurrence of structural vibrations, which may cause undesirable operational effects, for instance in positioning accuracy. According to Preumont (2002), the use of an active control system integrated by sensors and actuators is crucial in smart structures. This article presents the applicatio...

Topology optimization of flextensional piezoelectric actuators with active control law

“…A passive linear elastic material and an active linear piezoelectric material were distributed by applying the TOM in the fixed domain. Similar study was made for the distribution of Macro Fiber Composite in (PADOIN et al, 2015).…”

“…Until now, we have seen works focusing on the optimization of intelligent structures aiming vibration suppression and improvement of some structure parameter performance, where different approaches to that end were taken ((RUIZ et al, 2013),(ALI; DHINGRA, 2014), (SILVEIRA; FONSECA, 2010), (MOLTER et al, 2010), (VEEN; LANGELAAR; KEULEN, 2014)). As seen in previous sections, some authors distributed piezoceramic material associated with optimal control law in frequency domain (PADOIN et al, 2015), others have worked in time domain with simpler classical control implementation, but also distributing piezoelectric material (ZHANG; KANG, 2014). However, the possibility of modifying the hosting structure stiffness (structure supporting the piezoceramics) by optimizing the distribution of elastic material in time domain analysis, opens new branches of studying intelligent structures, such as flexible actuators with vibration attenuation, and flexible structures actuated to find its steady state at an operating point.…”

New Methodology for Optimal Placement of Piezoelectric Sensor/Actuator Pairs for Active Vibration Control of Flexible Structures

“…The effectiveness reduces gradually toward the plate's axis of symmetry and the free end. Clearly, the highest sensor effectiveness occurs at the corners of the root of the cantilever plate, which agrees well with the published work [19] where the optimal locations of two sensor/actuator pairs were found at the corners of a cantilever plate. The Figure also shows the optimal locations ASME Journal of Vibration and Acoustics VIB-17-1026 YE 14…”

Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory

“…Static and dynamic responses of piezoelectric plates have been investigated extensively in the past years (Alibeigloo and Kani, 2010;Behjatet al, 2011;Rezaiee-Pajand and Sadeghi, 2013;Ghashochi-Bargh and Sadr, 2014;Rafiee et al, 2014;Padoina et al, 2015). Moon et al (2007) designed a linear magnetostrictive actuator using Terfenol-D to control structural vibration.…”