Optimization and analysis of a grounded type dynamic vibration absorber with lever component

Area of Science:

• Mechanical Engineering
• Vibration Control
• System Dynamics

Background:

• Dynamic vibration absorbers (DVAs) enhance control performance with larger auxiliary mass, but this increases bulk.
• Mass ratio limitations in DVAs are common for practical engineering applications.
• Existing DVAs face challenges in balancing performance with size and mass ratio constraints.

Purpose of the Study:

• To propose a grounded type DVA incorporating a lever component.
• To enhance the effective mass and reduce unnecessary mass of the DVA.
• To improve the overall control performance of the DVA, particularly at small mass ratios.

Main Methods:

• Establishing and solving motion differential equations for the DVA.
• Obtaining optimum parameters using H∞ and H2 optimization criteria.
• Investigating and comparing the performance of the lever-equipped DVA against traditional DVAs.

Main Results:

• The lever component increases the DVA's effective mass, significantly improving control performance.
• A larger frequency ratio generally leads to better control performance.
• An amplification ratio greater than 1 ensures the lever positively contributes to control.

Conclusions:

• The proposed grounded DVA with a lever component offers superior control performance compared to three other typical DVAs.
• The lever mechanism allows for effective vibration absorption even at small mass ratios.
• This design provides a theoretical foundation for developing advanced DVAs suitable for various engineering applications.