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231223s1999 xx |||||o 00| ||eng c |
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|a 10.1109/58.741418
|2 doi
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|a pubmed24n0591.xml
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|a (NLM)18238393
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|a eng
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|a Yong, Y K
|e verfasserin
|4 aut
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|a On the accuracy of Mindlin plate predictions for the frequency-temperature behavior of resonant modes in AT- and SC-cut quartz plates
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|c 1999
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
|b c
|2 rdamedia
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|a ƒa Online-Ressource
|b cr
|2 rdacarrier
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|a Date Completed 16.12.2009
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|a Date Revised 01.02.2008
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a The frequency spectra of resonant modes in AT- and SC-cut quartz plates and their frequency-temperature behavior were studied using Mindlin first- and third-order plate equations. Both straight-crested wave solutions and two-dimensional plate solutions were studied. The first-order Mindlin plate theory with shear correction factors was previously found to yield inaccurate frequency spectra of the modes in the vicinity of the fundamental thickness-shear frequency. The third-order Mindlin plate equations without correction factors, on the other hand, predict well the frequency spectrum in the same vicinity. In general, the frequency-temperature curves of the fundamental thickness-shear obtained from the first-order Mindlin plate theory are sufficiently different from those of the third-order Mindlin plate theory that they raise concerns. The least accurately predicted mode of vibration is the flexure mode, which results in discrepancies in its frequency-temperature behavior. The accuracy of other modes of vibrations depends on the degree of couplings with the flexure mode. Mindlin first-order plate theory with only the shear correction factors is not sufficiently accurate for high frequency crystal vibrations at the fundamental thickness-shear frequency. Comparison with measured resonant frequencies and frequency-temperature results on an AT-cut quartz plate shows that the third-order plate theory is more accurate than the first-order plate theory; this is especially true for the technically important fundamental thickness shear mode in the AT-cut quartz plate
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|a Journal Article
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|a Wang, J
|e verfasserin
|4 aut
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| 700 |
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|a Imai, T
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on ultrasonics, ferroelectrics, and frequency control
|d 1986
|g 46(1999), 1 vom: 28., Seite 1-13
|w (DE-627)NLM098181017
|x 1525-8955
|7 nnns
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| 773 |
1 |
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|g volume:46
|g year:1999
|g number:1
|g day:28
|g pages:1-13
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|u http://dx.doi.org/10.1109/58.741418
|3 Volltext
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