A Novel Frequency Stabilization Approach for Mass Detection in Nonlinear Mechanically Coupled Resonant Sensors

Area of Science:

• Nonlinear dynamics
• Microelectromechanical systems (MEMS)
• Sensor technology

Background:

• Resonance frequency in nonlinear microelectromechanical systems typically depends on amplitude.
• This amplitude dependence limits the precision of microelectromechanical systems (MEMS) used as sensors.
• Frequency stabilization offers a potential solution to enhance sensor performance.

Purpose of the Study:

• To theoretically present the physical conditions for frequency stabilization in nonlinear microelectromechanical systems (MEMS).
• To analyze the influence of system parameters on achieving frequency stabilization.
• To explore the application of frequency stabilization in nonlinear mass sensing.

Main Methods:

• Design of a nonlinear mechanically coupled resonant structure with bias voltages and AC harmonic load.
• Application of perturbation and bifurcation analysis to study coupled-mode vibration and derive nonlinear resonance frequency.
• Introduction of stochastic dynamic equations to assess robustness against voltage fluctuations.
• Development of a parameter identification method using frequency stabilization and bifurcation jumping.

Main Results:

• Improving the quality factor is crucial for frequency stabilization.
• The coupled resonant structure demonstrates robustness against voltage fluctuations, enhancing sensor reliability.
• A novel parameter identification method effectively mitigates resonance frequency shifts caused by driving voltage.
• Numerical studies validate the proposed mass detection method.

Conclusions:

• Frequency stabilization is a viable strategy to overcome amplitude-dependent frequency shifts in nonlinear microelectromechanical systems (MEMS).
• The proposed design and methods enhance sensor robustness and accuracy for mass detection.
• This research provides guidance for the design of advanced nonlinear sensors.