Laminated Piezocomposites Structures (LAPS) Designed for Topology Optimization Considering the Transient Response
Ruben Andres Salas1; Emilio Carlos Nelli Silva1; J. N. Reddy2
1 University of São Paulo; 2 Texas A&M University
doi:10.20906/CPS/CILAMCE2015-0530
Resumo
LAminated Piezocomposite Structures (LAPS) are primarily multi-layer structures composed by piezoelectric, metal and composite materials (epoxy matrix with carbon or glass fiber). This structures show superior features over conventional piezoelectric materials because their characteristics cannot be achieved by any of its components isolated, for example more strength and less weight. Thus, this work aims at the development of LAminated Piezocomposite Structures (LAPS) through the vibration modes design aiming at dynamic applications. Piezomotors and sonar devices can be mentioned as potential applications. Therefore, LAPS dynamic design can be systematized by using the Topology Optimization Method (TOM), which is a method based on the distribution of material in a fixed design domain with the aim of extremizing a cost function subjected to constraints inherent to the problem. TOM combines the optimization algorithms and the finite element method (FEM). In this work, the TOM formulation aims to determine simultaneously the optimal topology of the materials for different layers and the polarization sign of the piezoelectric material, in order to design a particular vibration mode by means of maximizing the vibration amplitude at certain points for a specified input. The governing equations for modeling of LAPS are solved using the linear FEM based on three-dimensional eight-node isoparametric elements. The TOM formulation includes several material models as the Simple Isotropic Material with Penalization (SIMP) for isotropic materials and the PiezoElectric MAterial with Penalization and Polarization (PEMAP-P) in order to describe polarization in piezoelectric material. The objective function deals with vibration amplitude maximization and rise time minimization with the purpose of improving the dynamic response. Sequential Linear Programming (SLP) is used for solving the non-linear optimization problem. Results are shown in order to illustrate the method.
Palavras-chave: Topology optimization; Laminated piezocomposite materials; Transient analysis