Research on Tuning Fork Dimension Optimization and Density Calculation Model Based on Viscosity Compensation for Tuning Fork Density Sensor

Table 3

Simulation results of resonant frequency of the circular section structure tuning fork in different viscosity.

Group number	l ∗ r^2π (mm3)	= 50 MPa·s		= 100 MPa·s		= 150 MPa·s		= 200 MPa·s
		Frequency (Hz)		Frequency (Hz)		Frequency (Hz)		Frequency (Hz)
1	60 ∗ 3.4^2π	586.25	2.2	535.23	4.1	475.92	6.5	454.93	10.2
2	60 ∗ 2.8^2π	614.52	2.8	670.33	4.7	606.18	7.9	569.12	11.8
3	60 ∗ 3.1^2π	599.62	2.5	587.72	4.3	528.15	7.1	484.28	11.1
4	60 ∗ 2.5^2π	633.54	3.1	737.86	4.9	665.62	9.5	618.29	13.8
5	40 ∗ 3.4^2π	724.25	3.8	652.55	5.7	651.14	10.8	514.02	19.2
6	40 ∗ 2.8^2π	899.13	4.3	848.37	7.7	734.39	13.6	627.99	21.6
7	40 ∗ 3.1^2π	796.23	4.1	725.85	7.3	642.97	11.9	563.74	20.2
8	40 ∗ 2.5^2π	951.23	4.6	899.97	9.3	783.94	17.0	628.21	32.1
9	20 ∗ 3.4^2π	2131.25	7.2	2152.23	12.8	1728.68	26.3	1373.44	50.2
10	20 ∗ 2.8^2π	2502.32	7.8	2502.76	19.6	1942.95	40.5	1309.16	65.2
11	20 ∗ 3.1^2π	2282.91	8.8	2253.96	18.1	1814.96	35.2	1237.22	58.3
12	20 ∗ 2.5^2π	2831.22	10.2	2432.74	32.3	1649.26	59.2	872.52	88.2