Multi-objective structural optimisation of piezoelectric materials

Wegert, Zachary J.; Roberts, Anthony P.; Challis, Vivien J.

doi:10.1016/j.ijsolstr.2022.111666

Cited by 8 publications

(10 citation statements)

References 35 publications

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“…We also consider a periodic piezoelectric material that was optimised for a linear combination of stiffness and piezoelectric properties in earlier work [ 29 ]. Specifically, we use the open-cell optimised material with the highest bulk modulus and a volume fraction of

presented in Wegert et al [ 29 ].…”

Section: Numerical Implementationmentioning

confidence: 99%

“…The topology optimisation algorithm used for the optimisation of the piezoelectric component is similar to that described previously by the authors for the design of periodic piezoelectric materials [ 29 ]. In the below we outline key details of the approach, some of which differ from our earlier work due to the piezoelectric component optimisation problem we are solving in the current paper.…”

Section: Numerical Implementationmentioning

confidence: 99%

“…Here

and

are the piezoelectric tensors of the appropriate base material (either solid PZT-5A or optimised PZT-5A as described above), and

and

are the penalisation exponents assosicated with each material property tensor. As described in our earlier work [ 29 ], the penalisation exponents for the SIMP method with piezoelectric materials must be chosen carefully. We use the appropriate values

…”

Section: Numerical Implementationmentioning

confidence: 99%

“…A novel aspect of our work is that we do not consider a layered design and instead formulate the optimisation problem in a three-dimensional design domain. A further innovation of our approach is that we consider an optimised architectured piezoelectric material [ 29 ] as a possible base material for the optimisation problem.…”

Section: Introductionmentioning

confidence: 99%

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Optimisation of a Multi-Functional Piezoelectric Component for a Climbing Robot

et al. 2023

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Force sensors on climbing robots give important information to the robot control system, however, off-the-shelf sensors can be both heavy and bulky. We investigate the optimisation of a lightweight integrated force sensor made of piezoelectric material for the multi-limbed climbing robot MAGNETO. We focus on three design objectives for this piezoelectric component. The first is to develop a lightweight component with minimal compliance that can be embedded in the foot of the climbing robot. The second objective is to ensure that the component has sensing capability to replace the off-the-shelf force sensor. Finally, the component should be robust for a range of climbing configurations. To this end, we focus on a compliance minimisation problem with constrained voltage and volume fraction. We present structurally optimised designs that satisfy the three main design criteria and improve upon baseline results from a reference component. Our computational study demonstrates that the optimisation of embedded robotic components with piezoelectric sensing is worthy of future investigation.

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presented in Wegert et al [ 29 ].…”

Section: Numerical Implementationmentioning

confidence: 99%

Section: Numerical Implementationmentioning

confidence: 99%

“…Here

and

are the piezoelectric tensors of the appropriate base material (either solid PZT-5A or optimised PZT-5A as described above), and

and

…”

Section: Numerical Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimisation of a Multi-Functional Piezoelectric Component for a Climbing Robot

et al. 2023

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“…Piezoelectric materials [25,26], in particular, realize the energy conversion between mechanical energy and electrical energy based on the piezoelectric effects, thereby improving the bandgap adaptability of traditional PCs. Moreover, since the brilliant piezoelectric performance relies on shunting circuits, numerous scholars [27][28][29] have contributed to circuit type design, circuit parameter optimization, circuit controlling strategy, and so on.…”

Section: Introductionmentioning

confidence: 99%

Experimental design and adaptive modulation of piezoelectric cantilever phononic crystals for vibration attenuation in vehicle subframes

Wu,

Li,

et al. 2024

Smart Mater. Struct.

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For attenuating the vibration of vehicle subframe with changing target frequency, a piezoelectric cantilever phononic crystal (PC) and its adaptive modulation strategy are investigated in this paper. Firstly, based on the cantilever-based PC structure, the bandgap characteristics are obtained by vibration transfer calculation and piezoelectric constitutive modeling. Taking the parametric analysis results of structural dimensions and the targeted vibration frequency intervals required by vehicle subframe, the experimental design of the piezoelectric cantilever PC is further carried out. The modal experiments indicate that two local resonant bandgaps and one electromagnetic oscillation bandgap appear in the solved frequency interval, and are both in great consistency with the theoretical calculations. Finally, an adaptive bandgap modulation strategy is proposed with controlling shunting circuit parameters, and the execution results show that the PCs employed to the vehicle subframe can effectively achieve vibration attenuation from the powertrain systems. Starting from experimental design and adaptive modulation of the cantilever PCs with piezoelectric materials, this research presents a novel framework for the application of acoustic metamaterials in vibration mitigating of automotive structures.

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A Hilbertian projection method for constrained level set-based topology optimisation

Wegert,

Roberts,

Challis

2023

Struct Multidisc Optim

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We present an extension of the projection method proposed by Challis et al. (Int J Solids Struct 45(14–15):4130–4146, 2008) for constrained level set-based topology optimisation that harnesses the Hilbertian velocity extension-regularisation framework. Our Hilbertian projection method chooses a normal velocity for the level set function as a linear combination of (1) an orthogonal projection operator applied to the extended optimisation objective shape sensitivity and (2) a weighted sum of orthogonal basis functions for the extended constraint shape sensitivities. This combination aims for the best possible first-order improvement of the optimisation objective in addition to first-order improvement of the constraints. Our formulation utilising basis orthogonalisation naturally handles linearly dependent constraint shape sensitivities. Furthermore, use of the Hilbertian extension-regularisation framework ensures that the resulting normal velocity is extended away from the boundary and enriched with additional regularity. Our approach is generally applicable to any topology optimisation problem to be solved in the level set framework. We consider several benchmark constrained microstructure optimisation problems and demonstrate that our method is effective with little-to-no parameter tuning. We also find that our method performs well when compared to a Hilbertian sequential linear programming method.

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Multi-objective structural optimisation of piezoelectric materials

Cited by 8 publications

References 35 publications

Optimisation of a Multi-Functional Piezoelectric Component for a Climbing Robot

Optimisation of a Multi-Functional Piezoelectric Component for a Climbing Robot

Experimental design and adaptive modulation of piezoelectric cantilever phononic crystals for vibration attenuation in vehicle subframes

A Hilbertian projection method for constrained level set-based topology optimisation

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