Analysis of Excitation and Dead Vibration Modes of Quartz Resonators

Table 1

Sizes and grid layouts of the three- and two-dimensional models.

SC-cut	Model	Dimension	Mesh numbers
		(𝐿×𝑊×𝑇) (mm)	(𝐿×𝑊×𝑇)
Case 1	2D (𝑋𝑌 plane)	3.53×0.0638 (𝐿×𝑇)	500×10 (𝐿×𝑇)
	3D	3.53×1.805×0.0638	500×1×10
Case 2	2D (𝑍𝑌 plane)	1.85×0.0638 (𝑊×𝑇)	260×10 (𝑊×𝑇)
	3D	3.495×1.85×0.0638	1×260×10