Coupling of experimentally validated electroelastic dynamics and mixing rules formulation for macro-fiber composite piezoelectric structures

Abstract

Piezoelectric structures have been used in a variety of applications ranging from vibration control and sensing to morphing and energy harvesting. In order to employ the effective 33-mode of piezoelectricity, interdigitated electrodes have been used in the design of macro-fiber composites which employ piezoelectric fibers with rectangular cross section. In this article, we present an investigation of the two-way electroelastic coupling (in the sense of direct and converse piezoelectric effects) in bimorph cantilevers that employ interdigitated electrodes for 33-mode operation. A distributedparameter electroelastic modeling framework is developed for the elastodynamic scenarios of piezoelectric power generation and dynamic actuation. Mixing rules (i.e. rule of mixtures) formulation is employed to evaluate the equivalent and homogenized properties of macro-fiber composite structures. The electroelastic and dielectric properties of a representative volume element (piezoelectric fiber and epoxy matrix) between two neighboring interdigitated electrodes are then coupled with the global electro-elastodynamics based on the Euler-Bernoulli kinematics accounting for twoway electromechanical coupling. Various macro-fiber composite bimorph cantilevers with different widths are tested for resonant dynamic actuation and power generation with resistive shunt damping. Excellent agreement is reported between the measured electroelastic frequency response and predictions of the analytical framework that bridges the continuum electro-elastodynamics and mixing rules formulation.

Performance of three transducer mounting methods in impedance-based structural health monitoring applications

“…However, conventional PZT ceramics are rigid and brittle, making their application in structures with uneven surface unfeasible. To overcome this drawback, more recently, macrofiber composite (MFC) transducers were proposed as an alternative (Brunner et al, 2009;Shahab and Erturk, 2016). These devices are low-profile, flexible, and durable, making their use in many types of structures feasible.…”

Assessment of Macro Fiber Composite Sensors for Measurement of Acoustic Partial Discharge Signals in Power Transformers

“…The alternative piezoelectric sensors used in this study were the MFCs sensors [17], [26], which are low-profile, durable and flexible devices composed of rectangular piezoceramic rods inserted between layers of adhesive, electrodes and polyimide film as shown Fig. 1 (b) and (c).…”

“…These devices are as a thin, surface−conformable sheet and can be applied to various types of structures or embedded in composite structures [17], [26].…”

Large deformation mechanical modeling with bilinear stiffness for Macro-Fiber Composite bimorph based on extending mixing rules

“…Thus, MFCs are suitable for large deformation and curved surface applications. In recent years, MFCs have been wildly used in morphing wings (Bilgen et al, 2010a; Gamble and Inman 2018; Kochersberger et al, 2017; Pankonien et al, 2015), energy harvesting (Shahab et al, 2016; Upadrashta et al, 2015; Yang et al, 2016), and active vibration control for the plates and shells (Li et al, 2016; Sohn et al, 2011).…”

“…Thus, some researchers have considered the piezoelectric material nonlinear tensile stiffness in the dynamic models of MFC structures to obtain more accurate dynamic response (Tan et al, 2017; Yang and Upadrashta, 2016). In addition, MFC is composed of active and inactive parts, when the inactive area is relatively small, the whole MFC piece can be approximated to the active part (Shahab and Erturk, 2016; Yang and Upadrashta, 2016); if the inactive part area is near to or even larger than the area of active part, the influence of the inactive part cannot be neglected, such as M-4005-P1, M-4010-P1 etc. Since the sizes and material properties of the inactive and active parts are remarkably different and their structures are closely bonded together, the analytical model cannot be exactly established in the case of considering the inactive part, so finite element method (FEM) should be applied.…”