Abstract
Mass sensors based on carbon nanotubes (CNTs) may provide excellent sensing resolution owing to the high aspect ratio of CNTs. However, they are prone to large displacement, resulting in nonlinear oscillation behavior. In particular, the geometric nonlinear characteristics and temperature load during preparation can directly affect the sensing performance of CNTs sensing devices. Herein, the von-Kármán geometric nonlinearity caused by large displacement and the size effect based on nonlocal strain gradient field were introduced, and the dynamic model of nonlinear nano-mass sensor was established. The nonlinear response equation of the system was derived based on Hamilton's principle to describe the detection sensitivity for deposited particles at any position of the sensor. The nonlinear frequency shift equation describing the detection sensitivity of the system was then obtained. To intuitively verify the nonlinear oscillation behavior of the sensor under the working state, a molecular dynamics simulation process was designed according to the influencing key physical parameters on the nonlinear behavior and detection sensitivity of the system. The detection sensitivity design formula and simulation verification process revealed high-performance and efficient designed sensors.
Published Version
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