Nanobeams and AFM Subject to Piezoelectric and Surface Scale Effects

Table 5

Comparison of natural frequencies from the double-span beam. EB-EB: two segments of Euler-Bernoulli beam, TB-TB: two segments of Timoshenko beam, and TB-EB: first segment using Euler-Bernoulli beam model and second segment using Timoshenko beam model.

Case	Model	Natural frequencies (Hz)
S-S	EB-EB	101.77	782.09	1300.56	2874.69
	TB-EB	101.74	777.85	1291.65	2816.98
	TB-TB	101.64	775.85	1285.65	2796.89
C-F	EB-EB	139.56	326.69	1170.27	1797.41
	TB-EB	139.39	325.84	1154.90	1771.78
	TB-TB	139.31	325.45	1150.82	1761.06
F-F	EB-EB	292.42	1181.28	1804.01	3603.04
	TB-EB	292.14	1775.94	1775.8	3512.95
	TB-TB	291.77	1167.89	1786.63	3483.40
	[Ref]	286-291	1159-1165	1759-1771	-