Topology optimization of shunted piezoelectric elements for structural vibration reduction

Abstract

Passive structural vibration reduction by means of shunted piezoelectric patches is addressed in this article. The concept of topology optimization, based on the solid isotropic material with penalization method, is employed in this work to optimize, in terms of damping efficiency, the geometry of piezoelectric patches, as well as their placement on the host elastic structure. The proposed optimization procedure consists of distributing the piezoelectric material in such a way as to maximize the modal electromechanical coupling factor of the mechanical vibration mode to which the shunt is tuned. An original finite element formulation, suitable to any elastic structures with surface-mounted piezoelectric patches, is proposed to solve the electromechanical problem. Numerical examples validate and demonstrate the potential of the proposed approach for the design of piezoelectric shunt devices.

New Reduced Order Finite Element Formulations for Vibration Attenuation Using Piezoelectric Shunt Damping

“…The piezoelectric element in PIC-151 is assumed to be perfectly bounded to the beam and has the same width. For the mechanical and electrical characteristics of the piezoelectric material PIC-151, the reader can be referred to [15]. Concerning the finite element discretization, the beam is modelled in 2D using 672 four nodes plate elements (QUAD4).…”

Improving Aeroelastic Stability of Bladed Disks with Topologically Optimized Piezoelectric Materials and Intentionally Mistuned Shunt Capacitance

“…Existing studies [20][21][22] have pointed out that MEMCF (for a given mode) only depends on the number, shape, size, and location of the attached piezoelectric materials. Therefore, maximizing MEMCF is leading us to designing the geometrics of piezoelectric materials, as reported in the applications of modal sensing [23], actuating [24], energy harvesting [25], vibration mitigation [26][27][28][29], and so on. In these studies, the host structures to place piezoelectric materials are relatively simple and the researchers mainly takes position and direction of the given shape piezoelectric patches.…”

An investigation of the electromechanical coupling and broadband shunt damping in composite plates with integrated piezo-patches

“…They also optimized the electrical circuit elements for improving the vibration reduction performance. Recently, Silva et al presented a topology optimization algorithm for the distribution of the piezoelectric patches on several elastic host structures including a cantilever beam, an automotive muffler, and a free-clamped rectangular plate, with the objective of maximizing EMCC (Pereira da Silva et al, 2015). There are also several studies that focus on electrical circuit modeling for maximizing the shunt damping performance (Badel et al, 2006;Ducarne et al, 2010;Lallart, Badel, et al, 2008).…”

“…Existing studies about the shunt damping of smart composite plates in the literature mostly focus on either topology optimization (Nakasone and Silva, 2010;Pereira da Silva et al, 2015;Sun et al, 2009) and/or employing electrical shunt circuits (Badel et al, 2006;Han et al, 2013;Lallart, Lefeuvre, et al, 2008). However, even before applying these techniques, the most critical system parameters and their combined effects on the dynamics of smart composite plate must be correctly understood to achieve the best shunt damping performance.…”