Sensorless Self-Excited Vibrational Viscometer with Two Hopf Bifurcations Based on a Piezoelectric Device

Area of Science:

• Materials Science
• Mechanical Engineering
• Physics

Background:

• Viscosity is a critical parameter across various scientific and industrial fields.
• Traditional self-excited oscillation viscometers often require displacement sensors, potentially limiting sensitivity.
• Piezoelectric devices offer unique electromechanical coupling for sensing applications.

Purpose of the Study:

• To develop a high-sensitivity sensorless viscometer utilizing piezoelectric self-excited oscillation.
• To leverage the interaction between mechanical and electrical dynamics for viscosity measurement.
• To overcome the limitations of existing viscometers requiring displacement sensors.

Main Methods:

• Utilizing a piezoelectric device integrated with a cantilever for sensorless self-excited oscillation.
• Analyzing the fourth-order dynamics and coupled oscillator systems exhibiting Hopf bifurcations.
• Measuring the distance between response frequency jumps at Hopf bifurcation points as an indicator of viscosity.

Main Results:

• The proposed sensorless viscometer demonstrates high sensitivity in viscosity measurements.
• The distance between frequency jumps at Hopf bifurcations is directly dependent on viscosity.
• Experimental results confirm higher sensitivity compared to sensor-based self-excited oscillation methods.

Conclusions:

• The developed sensorless viscometer effectively measures viscosity with enhanced sensitivity.
• The frequency jump phenomenon provides a robust and easily detectable metric for viscosity.
• This technology offers a promising alternative for accurate and sensitive viscosity determination.