Thermally induced vibration control of composite plates and shells with piezoelectric active damping

Abstract

A coupled piezoelectric field is modelled with an expansion strain in the numerical formulation to analyse piezohygrothermoelastic laminated plates and shells. Finite element actuator and sensor equations are derived using a nine-noded field consistent shallow shell element. Thermally induced vibration control is attempted using piezoelectrically developed active damping. The influence of piezoelectric anisotropy on active damping is evaluated, adopting a simple modelling technique. With 40% reduced actuation capability in the lateral direction, the directionally active lamina is observed to be equally efficient in controlling the vibration. In general, the directionally active lamina is efficient if the primary actuation direction is oriented along the fibre direction or in the direction of bending. The directional actuation appeared to be more effective in the velocity feedback control for cantilevered plates and shells. However, in the simply supported case, a balanced actuation effort is required to provide better controllability, which can be achieved by tailoring the directional actuation. The importance of geometric curvature for the actuator performance is also highlighted.

Piezoelectric materials selection for sensor applications using finite element and multiple attribute decision-making approaches

“…Ferroelectric lead zirconate titanate (Pb [Zr x Ti 1Àx ] O 3 Þ is most frequently used piezoelectric ceramic for sensor applications due to its superior electromechanical coupling factor. 34 In addition, researchers have reported promising properties for polyvinylidene fluoride (PVDF) ferroelectric polymer for sensor applications due to its low density, toughness and mechanical flexibility. 35 One of the most reported piezoelectric material is ferroelectric barium titanate (BaTiO 3 Þ which exhibits a high dielectric constant and has been widely employed in transducer applications.…”

Influence of piezoelectric nonlinearity on active vibration suppression of smart laminated shells using strong field actuation

“…For efficient computation, equivalent single layer (ESL) theories such as the classical laminate theory (CLT) (Kwak et al., 2009; Li et al., 2012; Li and Narita, 2013; Mahmoodi and Ahmadian, 2010; Ray, 2003; Song and Li, 2014), first-order shear deformation theory (FSDT) (Balamurugan and Narayanan, 2001a,b; Dong et al., 2013; Liu et al., 2016; Narayanan and Balamurugan, 2003; Raja et al., 2004), third-order theory (TOT) (Correia et al., 2002) and higher-order theory (HOT) (Kulkarni and Bajoria, 2003) have been mostly employed for obtaining the active vibration control of smart plate/shell structures. These theories are derived assuming a single polynomial function (of first, third or higher order) of the thickness coordinate for the displacement variables to be valid in all layers irrespective of their different material properties and thicknesses.…”

Optimal piezoelectric control of a plate subject to time-dependent boundary moments and forcing function for vibration damping

“…In the above studies isotropic piezoelectric materials were employed as actuators and sensors while the orthotropic piezo-actuators can also be used for this purpose [26]. Special cases of vibration control due to thermal loads [27][28][29][30] and moving loads [31] using piezoelectric actuation were also studied. In the present study, the optimal vibration control problem for a simply supported rectangular plate subject to an external excitation and transient moment boundary conditions is formulated and solved with the control exercised by a piezo-patch actuator.…”