Actuator topology design using the controllability Gramian

Silveira, Otavio Augusto Alves da; Fonseca, Jun Sergio Ono; Santos, Ilmar

doi:10.1007/s00158-014-1121-z

Cited by 19 publications

(10 citation statements)

References 29 publications

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“…Contudo, neste trabalho utilizou-se o método da programação linear sequencial, a fim de testar a metodologia proposta. Além disso, o modelo material e a sensibilidade do gramiano de controlabilidade são semelhantes ao trabalho de [10].…”

Section: Otimização Topológicaunclassified

“…[12] apresentaram um estudo sobre a otimização topológica de atuadores piezelétricos planares montados com padrões repetitivos, onde o objetivo é maximizar a concepção do trabalho efetuado pelo deslocamento da saída, enquanto que as restrições são impostas sobre o gasto da energia de atuação e sobre o volume de material. [10] desenvolveram um projeto simultâneo para a topologia estrutural e localização de atuadores, a qual é determinada topologicamente como um subprocesso, através da maximização de uma medida de controlabilidade. Além disso, é abordado o controle LQR para redução de vibrações.…”

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Localização de Atuadores Piezelétricos com Efeito Cisalhantes

Menuzzi¹,

Padoin²,

Fonseca³

et al. 2016

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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Resumo. Este trabalho busca desenvolver uma metodologia de projeto ótimo para localização de material piezelétrico com efeito cisalhante para atenuar vibrações em estruturas tridimensionais. O objetivo é determinar a localização ótima de atuadores através do processo de otimização topológica. A localização dos atuadores é determinada por uma otimização que define onde o material deve ter propriedades piezelétricas; através da maximização da controlabilidade, medida por seu gramiano. Resultados preliminares mostram a eficácia do processo de otimização topológica quanto à localização dos atuadores na estrutura.Palavras-chave. Otimização topológica; material piezelétrico; efeito cisalhante.

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Section: Otimização Topológicaunclassified

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Localização de Atuadores Piezelétricos com Efeito Cisalhantes

Menuzzi¹,

Padoin²,

Fonseca³

et al. 2016

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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“…Wang and Wang 31 used a measure based on a controllability index in order to maximize the actuator performance for a given control input. Silveira et al, 32 studied the maximization of the trace of the Gramian of controllability in order to maximize the performance of actuators with different polarizations chosen a priori. In order to avoid short-circuiting, the electrodes are separated by null polarity regions.…”

Section: Introductionmentioning

confidence: 99%

A Controllability-Based TO Approach for the Piezoelectric Actuator Design Considering Multimodal Vibration Control

Gonçalves

Silva

Leon

et al. 2020

Int. J. Str. Stab. Dyn.

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This paper addresses the design problem of piezoelectric actuators for multimodal active vibration control. The design process is carried out by a topology optimization procedure which aims at maximizing a control performance index written in terms of the controllability Gramian, which is a measure that describes the ability of the actuator to move the structure from an initial condition to a desired final state in a finite time interval. The main work contribution is that independent sets of design variables are associated with each modal controllability index, then the multi-objective problem can be split into independent single-objective problems. Thus, no weighting factors are required to be tuned to give each vibration mode a suitable relevance in the optimization problem. A material interpolation scheme based on the Solid Isotropic Material with Penalization (SIMP) and the Piezoelectric Material with Penalization (PEMAP) models is employed to consider the different sets of design variables and the sensitivity analysis is carried out analytically. Numerical examples are presented by considering the design and vibration control for a cantilever beam and a beam fixed at both ends to show the efficacy of the proposed formulation. The control performance of the optimized actuators is analyzed using a Linear-Quadratic Regulator (LQR) simulation.

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“…Wang et al (2011) presented a study on the topology optimization of planar piezoelectric actuators assembled by repetitive patterns where the objective was maximizing an output displacement, and the constraints were the actuation energy and the material volume. Silveira et al (2015) developed a design methodology for actuator location, using topology optimization for the controllability Gramian maximization and linear quadratic regulator (LQR) control for vibration reduction. Kang et al (2011) investigated the combined structural optimization of two materials, considering the layout and distribution of the piezoelectric actuators by maximization of the nodal displacement.…”

Section: Introductionmentioning

confidence: 99%

Piezoelectric sensor location by the observability Gramian maximization using topology optimization

et al. 2017

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This work presents an optimal design methodology for piezoelectric material positioning in structures aiming at vibration measurements. The main objective is to find the optimal location of piezoelectric sensors using a suitable topology optimization strategy. The sensors location is determined by an optimization formulation that defines where the material should have piezoelectric properties. The objective of the optimization is maximizing observability, measured by means of the trace of the Gramian matrix. The control strategy development is based on a truncated modal system model. A case study and its results are presented and discussed, showing that the optimal placement of the piezoelectric sensors in a cantilever beam can be suitably achieved through the proposed approach.

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Actuator topology design using the controllability Gramian

Cited by 19 publications

References 29 publications

Localização de Atuadores Piezelétricos com Efeito Cisalhantes

Localização de Atuadores Piezelétricos com Efeito Cisalhantes

A Controllability-Based TO Approach for the Piezoelectric Actuator Design Considering Multimodal Vibration Control

Piezoelectric sensor location by the observability Gramian maximization using topology optimization

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