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Journal ArticleDOI

Topology optimization of piezoelectric macro-fiber composite patches on laminated plates for vibration suppression

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TLDR
In this paper, the linear-quadratic regulator (LQR) optimal control technique is used and the topology optimization is formulated seeking to find the optimum localization of the macro-fiber composite (MFC) active piezoelectric patch.
Abstract
This work presents a new methodology for the topology optimization of piezoelectric actuators in laminated composite structures with the objective of controlling external perturbation induced by structural vibrations. The linear-quadratic regulator (LQR) optimal control technique is used and the topology optimization is formulated seeking to find the optimum localization of the macro-fiber composite (MFC) active piezoelectric patch by means of the maximization of the controllability index. For the structural model, we propose a simplified MFC/structure interaction model. It is assumed that the MFC is one of the orthotropic material layers with an initial strain arising from the application of an electric potential. This strain acts on the remainder of the structure and its effect is considered analytically. Numerical results show that the proposed MFC structure interaction model presents good agreement with experiments and numerical simulations of models that take into account the electromechanical effect. Results of the actuator location optimization show that the implemented technique improves the structural vibration damping. Results and comparisons are presented for the vibration control strategy using the LQR controller.

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Citations
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Journal ArticleDOI

Review on the use of piezoelectric materials for active vibration, noise, and flow control

TL;DR: The research carried out in the past five years, in the areas of modeling, and optimal positioning of piezoelectric actuators/sensors, for active vibration control, are covered.
Journal ArticleDOI

Discrete material optimization of vibrating composite plate and attached piezoelectric fiber composite patch

TL;DR: In this article, the authors deal with the layout optimization of piezoelectric fiber composite patches on a vibrating laminated composite plate and the discrete material design of the composite plate.
Journal ArticleDOI

Multi-objective optimization of piezoelectric vibrational energy harvester orthogonal spirals for ore freight cars

TL;DR: In this paper, the authors search for the best set of characteristics for an orthogonal spiral multibeam for freight car sensors, aiming to enhance the output power in both wagon conditions, as well as ensuring its safety against structural failures.
Journal ArticleDOI

An adaptive hybrid expansion method (AHEM) for efficient structural topology optimization under harmonic excitation

TL;DR: In this paper, an adaptive hybrid expansion method (AHEM) was proposed for efficient frequency response analysis even when a large number of excitation frequencies are involved, where the contributions of the lower-order modes and higherorder modes are given by the modal superposition and Neumann expansion, respectively.
References
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Book

Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition

TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Book

Topology Optimization: Theory, Methods, and Applications

TL;DR: In this article, the authors proposed a topology optimization by distribution of isotropic material for truss structures with anisotropic materials, based on the topology design of truss structure.
Book

Mechanics of laminated composite plates and shells : theory and analysis

J. N. Reddy
TL;DR: In this article, the authors present an analysis of the properties of composite materials using the classical and first-order theories of Laminated Composite Plates and shells, as well as a detailed analysis of their properties.
Journal ArticleDOI

Optimal shape design as a material distribution problem

TL;DR: In this article, various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable are described. But none of these methods can be used for shape optimization in a general setting.
Journal ArticleDOI

Solution of the matrix equation AX + XB = C [F4]

TL;DR: The algorithm is supplied as one file of BCD 80 character card images at 556 B.P.I., even parity, on seven ~rack tape, and the user sends a small tape (wt. less than 1 lb.) the algorithm will be copied on it and returned to him at a charge of $10.O0 (U.S.and Canada) or $18.00 (elsewhere).
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