A Modified Duhem Model for Rate-Dependent Hysteresis Behaviors.

Area of Science:

• Materials Science
• Mechanical Engineering
• Control Systems

Background:

• Hysteresis is a fundamental characteristic of piezoelectric ceramic actuators.
• The classical Duhem model (CDM) is widely used but lacks precision for rate-dependent hysteresis at high frequencies and amplitudes.

Purpose of the Study:

• To develop a modified Duhem model (MDM) for accurate characterization of rate-dependent hysteresis in piezoelectric actuators.
• To improve the modeling of piezoelectric actuator behavior under dynamic conditions.

Main Methods:

• A modified Duhem model (MDM) was developed by incorporating trigonometric functions.
• MDM parameters were identified using the nonlinear least squares method.
• Experimental validation was performed using six groups of tests with varying frequencies and amplitudes.

Main Results:

• The MDM demonstrated superior accuracy in characterizing rate-dependent hysteresis compared to the CDM.
• The model's performance was validated under high-frequency and high-amplitude excitation conditions.
• Experimental data confirmed the MDM's effectiveness in capturing complex hysteresis loops.

Conclusions:

• The modified Duhem model (MDM) offers a more precise approach to modeling hysteresis in piezoelectric actuators.
• MDM is particularly effective for applications involving high-frequency and high-amplitude dynamic behaviors.
• This research contributes to improved control and performance of piezoelectric actuator systems.