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Binary-like topology optimization of piezoelectric metamaterial plate with interface circuits using extended plane wave expansion method

Binary-like topology optimization of piezoelectric metamaterial plate with interface circuits using extended plane wave expansion method
Binary-like topology optimization of piezoelectric metamaterial plate with interface circuits using extended plane wave expansion method
Piezoelectric metamaterial plate (PMP) is being investigated for structural vibration energy harvesting (SVEH), in which an interface circuit is often used. Thus, it is a challenge to perform bandgap optimization of such an elastic–electro–mechanical coupling system. This paper presents a binary-like topology optimization scheme by dividing the unit cell into identical pieces, where a {0, 1} matrix is optimized to indicate material distribution. Firstly, a unified motion equation is derived for the elastic plate and the piezoelectric patch, and an electromechanical coupling model is built for a self-powered synchronized charge extraction circuit. Then, an extended plane wave expansion method is presented to model the bandgap character of the PMP with interface circuits (PMPICs), and the numerical solution of the dispersion curves is derived based on the Bloch theorem. Next, an extended genetic algorithm is applied for the topology optimization of the PMPIC. In the end, numerical and finite element simulations are performed to validate the proposed method. The results demonstrate that both the structure and the circuit can be optimized simultaneously to obtain the maximum first-order bandgap at a given central frequency. Therefore, the proposed method should provide an effective solution for the topology optimization of a PMPIC for broadband SVEH.
vibration energy harvesting; piezoelectric metamaterial plate; topology optimization; genetic algorithm; plane wave expansion
2076-3417
1-16
Chen, Zhongsheng
9893f775-a26a-4ebe-a4d9-d8224838fc9d
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Wei, Yongxiang
469e67c6-d1d1-4960-9934-f56f9d0340cd
Chen, Zhongsheng
9893f775-a26a-4ebe-a4d9-d8224838fc9d
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Wei, Yongxiang
469e67c6-d1d1-4960-9934-f56f9d0340cd

Chen, Zhongsheng, Xiong, Yeping and Wei, Yongxiang (2021) Binary-like topology optimization of piezoelectric metamaterial plate with interface circuits using extended plane wave expansion method. Applied Sciences, 11 (11), 1-16, [5191]. (doi:10.3390/app11115191).

Record type: Article

Abstract

Piezoelectric metamaterial plate (PMP) is being investigated for structural vibration energy harvesting (SVEH), in which an interface circuit is often used. Thus, it is a challenge to perform bandgap optimization of such an elastic–electro–mechanical coupling system. This paper presents a binary-like topology optimization scheme by dividing the unit cell into identical pieces, where a {0, 1} matrix is optimized to indicate material distribution. Firstly, a unified motion equation is derived for the elastic plate and the piezoelectric patch, and an electromechanical coupling model is built for a self-powered synchronized charge extraction circuit. Then, an extended plane wave expansion method is presented to model the bandgap character of the PMP with interface circuits (PMPICs), and the numerical solution of the dispersion curves is derived based on the Bloch theorem. Next, an extended genetic algorithm is applied for the topology optimization of the PMPIC. In the end, numerical and finite element simulations are performed to validate the proposed method. The results demonstrate that both the structure and the circuit can be optimized simultaneously to obtain the maximum first-order bandgap at a given central frequency. Therefore, the proposed method should provide an effective solution for the topology optimization of a PMPIC for broadband SVEH.

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Binary-Like Topology Optimization of Piezoelectric Metamaterial Plate with interface circuits_Applied Science_03062021 - Version of Record
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More information

Accepted/In Press date: 1 June 2021
e-pub ahead of print date: 3 June 2021
Published date: 3 June 2021
Keywords: vibration energy harvesting; piezoelectric metamaterial plate; topology optimization; genetic algorithm; plane wave expansion

Identifiers

Local EPrints ID: 449503
URI: http://eprints.soton.ac.uk/id/eprint/449503
ISSN: 2076-3417
PURE UUID: 3eb9382c-484f-4441-96d8-268072a7fea8
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

Catalogue record

Date deposited: 04 Jun 2021 16:30
Last modified: 26 Nov 2021 02:44

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Contributors

Author: Zhongsheng Chen
Author: Yeping Xiong ORCID iD
Author: Yongxiang Wei

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