2011
DOI: 10.1016/j.ultras.2011.05.015
|View full text |Cite
|
Sign up to set email alerts
|

Analysis of a monolithic crystal plate acoustic wave filter

Abstract: a b s t r a c tWe study thickness-shear and thickness-twist vibrations of a finite, monolithic, AT-cut quartz plate crystal filter with two pairs of electrodes. The equations of anisotropic elasticity are used with the omission of the small elastic constant c 56 . An analytical solution is obtained using Fourier series from which the resonant frequencies, mode shapes, and the vibration confinement due to the electrode inertia are calculated and examined.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
9
0

Year Published

2011
2011
2023
2023

Publication Types

Select...
6
1

Relationship

1
6

Authors

Journals

citations
Cited by 15 publications
(9 citation statements)
references
References 20 publications
0
9
0
Order By: Relevance
“…In addition, the imperfect interface at x 2 =0 is characterized by the shear-lag model [9]. Different from the previous research [9][10][11]13], the elastic coefficient of the interface is non-uniform along the …”
Section: The Discription Of the Problem And Its Solutionsmentioning
confidence: 92%
See 2 more Smart Citations
“…In addition, the imperfect interface at x 2 =0 is characterized by the shear-lag model [9]. Different from the previous research [9][10][11]13], the elastic coefficient of the interface is non-uniform along the …”
Section: The Discription Of the Problem And Its Solutionsmentioning
confidence: 92%
“…c 56 is very small compared to c 55 and c 66 . Therefore, in the rest of this paper, we will make the usual approximation of neglecting the small c 56 [10,11]. So, the governing field equation is…”
Section: The Discription Of the Problem And Its Solutionsmentioning
confidence: 99%
See 1 more Smart Citation
“…Therefore, it is meaningful to consider the thermal expansion effect on thickness-shear vibrations. Nevertheless, there is little theoretical analysis on this effect of crystal filters, because the situation is too complicated to be explained clearly with 2D equations [15][16][17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…This is complicated and sometimes it can be impossible, especially when there are two or more pairs of electrodes. Theoretical results on crystal filters are few and scattered [21][22][23][24][25], and they were either for modes varying in one of the two in-plane directions of a plate only, or were with various approximations.…”
Section: Introductionmentioning
confidence: 99%