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Thickness-Shear Frequencies of an Infinite Quartz Plate with Graded Material Properties Across the Thickness
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wu, Rongxing Zhang, Wenliang Ma, Ting-Feng Du, Jianke Wang, Jinduo |
| Copyright Year | 2020 |
| Abstract | For quartz crystal resonators of thickness-shear type, the vibration frequency and mode shapes reflect the basic material and structural properties of a quartz crystal plate and the variation with time under attack by erosive gases and liquids that can cause surface and internal degradation in a graded form. Such gradual effects, in turn, will change surface conditions through elastic constants and stiffness and more importantly the gradient of such properties across the thickness with certain depth. Now we study the thickness-shear vibrations of functionally graded material plates with properties of the popular AT-cut quartz crystal varying across the thickness in a general pattern represented by both sine and cosine components of the thickness. The vibration solutions are obtained through the Fourier expansion of the plate deformation. |
| Starting Page | 1 |
| Ending Page | 7 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10338-019-00157-9 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1405.7432v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10338-019-00157-9 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
