Behavior of a 3-Layered Thick Piezoelectric Actuator Using a 2-D Coupled Electromechanical Model

Lau, C. W. H.; Lim, C.W.; Xu, Ran; Yu, Yingjie; Yang, Qian

doi:10.1080/15376490802625431

Cited by 7 publications

(10 citation statements)

References 26 publications

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“…In all benchmarks, the piezoelectric layers/patches are grounded at the interfaces with the host beam. The DTF solutions are validated by benchmarks that reported tabulated results [10][11][12]14]oranalytical formulas [13], as comparison to graphical results may lead to unwanted deviations. Therefore, limited benchmarks, namely patched asymmetric smart-beam [12], as in Fig.…”

Section: Numerical Validation and Benchmarkingmentioning

confidence: 99%

“…2, unimorph [10,11], as in Fig. 3,and trimorph [13,14]asinFig.4, were found and used for validating and benchmarking the present DTF CFS.…”

Section: Numerical Validation and Benchmarkingmentioning

confidence: 99%

“…The voltage and charge actuation problems are validated here by four benchmarks, a unimorph [10] similar in given dimensions and properties, including the calculated modified ones, as that used in the SC sensing case of Fig. 3, and trimorphs [13,14] similar to that shown in Fig. 4.…”

Section: Static Actuation Problems Validationmentioning

confidence: 99%

“…However, no reference was found in the open literature about realistic (practical) configurations of beam cantilevers with different widths of patches and host. Thus, only benchmarks with same widths [10][11][12][13][14] will be used for validating the DTF CFS.…”

Section: Introductionmentioning

confidence: 99%

“…Then, the static sensing and actuation problems are derived using the DTF approach for voltage and charge inputs (actuation) and outputs (sensing). Next, in order to avoid inherent additional errors from comparisons to graphical results, the presented CFS are validated only against available tabulated results [10][11][12]14] or analytical formulas [13] in the open literature. Finally, some conclusions and perspectives of the present work are provided as a closure.…”

Section: Introductionmentioning

confidence: 99%

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Distributed transfer function-based unified static solutions for piezoelectric short/open-circuit sensing and voltage/charge actuation of beam cantilevers

2021

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Closed-form unified solutions using the distributed transfer functions (DTFs) method are presented for the first time for the static short/open-circuit sensing and voltage/charge actuation of moderately thick beam cantilevers with co-localized surface-bonded piezoelectric patches. For this purpose, the smart beam is divided into three segments, of which the clamp and free sides parts are elastic, while the middle one is made of an elastic core sandwiched between two electroded piezoelectric patches. The latter can be different in material properties and thickness but should have the same length, and their widths can be different from the host elastic beam. The theoretical formulation is based on Timoshenko's first-order shear deformation theory for the kinematics and piezoelectric constitutive equations and the principle of virtual works for the variational equations. The latter integrate explicitly the physical equipotential constraints on the patches electrodes. The balance equations and boundary conditions are derived for the three segments independently and then connected at their interfaces by the equilibrium equations and continuity conditions. The unified static solutions for the resulting four problems are derived analytically in closed form using the DTF approach. These are validated against only open literature benchmarks having tabulated results or analytical formulas in order to avoid curves induced inherent additional deviations. Very good correlations were obtained in comparison with the found reference two-dimensional (2D) plane strain/stress analytical and 2D plane strain/stress and three-dimensional finite element results.

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