Shape Optimal Design of Piezoelectric Transducers based on advanced modeling for Adaptive Structure Applications

SCHEME: CORE

CALL: 2011

DOMAIN: MS - New Functional and Intelligent Materials and Surfaces

FIRST NAME: Houssein

LAST NAME: Nasser

INDUSTRY PARTNERSHIP / PPP: No

INDUSTRY / PPP PARTNER:

HOST INSTITUTION: LIST

KEYWORDS: Extended finite element method, Piezoelectric Transducers, Topology optimization, Adaptive Structure.

START: 2012-04-01

END: 2015-04-30

WEBSITE: https://www.list.lu/

Submitted Abstract

The insurance of public safety of civil infrastructure systems is one of the main priority concerns nowadays. In parallel, noise and vibration are among the most significant issues for National and European community citizens. More and more industries are focussing their attention on overcoming the above matter. Therefore, there is an evident need to improve the performance of smart materials for sensing and actuation. For this reason, the present proposal is expected to give an intelligent package of tools, methods and know-how of smart structures for structural health monitoring and active vibration control.According to the current knowledge, the optimal design of spatial piezoelectric transducers plays an important key for improving structural control and for enhancing displacement responses. The present proposal associates modelling based design of piezoelectric transducers and advanced finite element methods with topology optimization. The optimization process is devoted to find the finest solution in terms of shape contour and spatial distribution of piezoelectric materials. Initially, optimizing the distribution of the piezoelectric transducers requires a clear understanding of the electromechanical behaviour of the smart structure. When electric field is applied through the transducer, it results in a distribution of effective loadings within the host plate structure. Therefore, an analytical framework will be carried-out to derive the analytical expressions of these equivalent loads. The latter theoretical model will be extended to include the behaviour of piezo-composite transducer. In addition, the configuration of different electrode patterns will be as well incorporated into the model. Once the analytical model will be successfully accomplished, a numerical investigation will be used to expand the design for any arbitrary shape geometry. The numerical model will be based on Level Set Description (LSD) of the geometry and on the eXtended Finite Element Method (X-FEM). LSD will be implemented in topology optimization to increase the design freedom and to reduce at the same time the design variables. The Level Sets description is defined as a group of implicit functions. These implicit functions describe the topology contour, the polarization profile associated to the electrodes configuration and the interfaces of bi-material phases. The discontinuity of the above interfaces will be solved by using X-FEM. According to the established know-how of X-FEM, X-FEM is a useful method for topology optimization based on fixed mesh grid. Multi-objective optimization using LSD based in sensitivity analysis will be implemented. The obtained optimized design will be experimentally validated on a simple plate structure. In addition, the engineering feasibility of the optimum solution will be technically considered.Based the above outputs, two sorts of criteria will be adopted. The first one will be defined based on the optimal design to control the volume velocity of a plate, whereas the second criteria will be dedicated to design a modal sensor for plate structure.This project will contribute to obtain outstanding performance of smart structures and to increase the flexibility of using piezo transducers in active control vibration and in structural health monitoring for damage detection and localization.

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