Research Article

Resonance-Size Parameter Relationship and Dynamics of an AFM Subjected to Multimode Excitation and Based on the Modified Couple Stress Theory

Table 1

Effects of the interacting distance D0, the axial deformation, and the size dependency parameter on the first frequency [SiO2: E = 70.3×109Pa, ρ = 2.5×103 kg/m3, B =45 μm, H = 3.5 μm, L=200 μm, R = , AH = , and ; the first natural frequency of beam with =0, f1 = 74355.803 Hz, and ].


(nm)
f1(Hz)Error
(%)
Semianalytical methodBased on (71)

573686.6177347.3077283.170.0829

674051.3477694.8077665.680.0375

774187.1677824.2077808.150.0206

874251.2877885.3277875.400.0127

974286.0177918.4777911.820.0085

1074306.6677938.2077933.480.0061

1174319.8277950.6977947.280.0044

1274328.6477959.1077956.540.0033

1374334.8177964.9377963.010.0025

1474339.1477969.1877967.550.0021

1574342.3877972.1877970.950.0016

2074350.2977979.8477979.240.0008

4074354.2977983.5077983.430.0001

8074355.7377984.9577984.950.0000