Modelling of SMA Vibration Systems in an AVA Example.

Area of Science:

• Mechanical Engineering
• Materials Science
• Control Systems

Background:

• Vibration suppression is crucial in many engineering applications.
• Shape memory alloys (SMAs) offer unique properties for vibration control but are rarely used due to modeling complexity.
• Dynamic Vibration Absorbers (DVAs) are effective for vibration mitigation.

Purpose of the Study:

• To analyze vibrating systems incorporating SMA springs.
• To develop a mathematical model for a DVA using SMA springs.
• To design and test a control system for SMA-based DVAs.

Main Methods:

• Formulated a mathematical model of a 2-DOF system with a viscoelastic SMA spring in a DVA.
• Synthesized a control system for the SMA-based DVA.
• Performed model tests comparing systems with and without the controller.

Main Results:

• Determined the transmissibility functions for the analyzed systems.
• Demonstrated that the developed DVA can tune to frequency excitation changes up to ±10%.
• The SMA-based DVA shows potential for adaptive vibration control.

Conclusions:

• The developed mathematical model accurately represents SMA spring behavior in vibrating systems.
• The synthesized control system enhances the performance of SMA-based DVAs.
• SMA springs are a viable option for advanced vibration suppression systems requiring adaptive tuning.