A controllability-based formulation for the topology optimization of smart structures

Gonçalves, Juliano F.; Fonseca, Jun Sergio Ono; Silveira, Otavio Augusto Alves da

doi:10.12989/sss.2016.17.5.773

Cited by 6 publications

(2 citation statements)

References 32 publications

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“…A two-phase material model with penalization is used in the topology optimization of the actuator elements. Other important publications can be to found in Lee (2011), Alvelid (2008), Carbonari et al (2007, Goncalves et al (2016) and Kumar and Narayanan (2008).…”

Section: Introductionmentioning

confidence: 96%

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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Section: Introductionmentioning

confidence: 96%

Piezoelectric sensor location by the observability Gramian maximization using topology optimization

et al. 2017

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“…In order to avoid short-circuiting, the electrodes are separated by null polarity regions. The maximization of the smallest controllability Gramian eigenvalue was studied by Gonçalves et al 33 with the objective of designing piezoelectric actuators where all vibration modes are not close to an uncontrollable situation. The PEMAP model was applied to find the layout of piezoelectric actuators aiming at maximizing the control performance of structures using a controllability-based optimization approach, considering a specific vibration mode as target.…”

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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Topology Optimization for Compliance Minimization and Actuator Layout to Vibration Suppress

Gonçalves

Leon

Perondi

2018

EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization

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A controllability-based formulation for the topology optimization of smart structures

Cited by 6 publications

References 32 publications

Piezoelectric sensor location by the observability Gramian maximization using topology optimization

Piezoelectric sensor location by the observability Gramian maximization using topology optimization

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

Topology Optimization for Compliance Minimization and Actuator Layout to Vibration Suppress

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