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Resonance Frequency Spectra with Convergence Tests of Piezoceramic Disks using the Finite Element Method

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Several authors have presented resonance frequency spectra of piezoceramic disks calculated using the Finite Element (FE) method, but the accuracy in these frequency spectra has often not been very high, with relative errors of up to several percent in the calculated resonance frequencies. In the present work, frequency spectra with a maximum relative error of 150 ppm in all calculated resonance frequencies are presented for some of the materials which have been subjected to similar analyses in earlier works; PZT-5A, PZT-5H, PbTiO3, BaTiO3 and Pb(ZrTi)O3. The bound for the relative error is found using an a priori error estimator for the calculation of resonance frequencies of piezoceramic disks using the FE method. The error estimator is found based on convergence tests for disks of different piezoceramic materials with varying diameter over thickness ratios. Some work on a corresponding error estimator for electrical and mechanical response functions is also presented.
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Document Type: Research Article

Publication date: March 1, 2001

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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