Shape sensitivity analysis of a quasi-electrostatic piezoelectric system in multilayered media
✍ Scribed by G. Leugering; A. A. Novotny; G. Perla Menzala; J. Sokołowski
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 486 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1324
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✦ Synopsis
The optimization of shape and topology of piezo-patches or layered piezo-electrical material attached to structural parts, such as elastic bodies, plates and shells, plays a major role in the design of smart structures, as piezo-mechanic-acoustic devices in loudspeakers or energy harvesters. While the design for time-harmonic motions is genuinely frequencydependent, as has been reported in the literature in the context of density optimization with the SIMP-method, timevarying piezoelectric material has not been investigated with respect to the optimal design so far. Therefore, shape sensitivities for layered piezoelectric material and time-varying loads and charges are derived in this paper. In particular, we provide the shape-derivatives for nested piezo-layers associated with a class of shape functional. More general layers can be dealt with similar approach.