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Modeling of Boring Mandrel Working Process with Vibration Damper
Kirill Sentyakov1, Jozef Peterka2, Vitalii Smirnov1
1Faculty of Technology, Votkinsk Branch of Kalashnikov Izhevsk State Technical University, 426069 Izhevsk, Russia.
Materials (Basel, Switzerland)
|April 25, 2020
Summary
This study models boring mandrel vibrations using a four-mass system. Results show vibration dampers significantly reduce both natural and forced oscillations, optimizing damping element parameters.
Area of Science:
- Mechanical Engineering
- Vibration Analysis
- Control Systems
Background:
- Boring mandrels are susceptible to oscillations that can affect machining accuracy and tool life.
- Existing damping methods may not be optimal for all operating conditions.
- Viscoelastic couplings offer potential for advanced vibration control.
Purpose of the Study:
- To develop a mathematical model for boring mandrel oscillations with a vibration damper.
- To investigate the effectiveness of vibration dampers in reducing mandrel oscillations.
- To determine optimal parameters for vibration damping elements.
Main Methods:
- Developed a four-mass system mathematical model representing the boring mandrel, machine support, and damper.
- Solved the system of differential equations using the finite difference method.
- Employed the operator method with Laplace transforms for numerical solutions.
Main Results:
- The vibration damper significantly reduces the amplitude of natural vibrations under pulsed excitation.
- The damper also substantially decreases the amplitude of forced vibrations from periodic disturbances.
- The developed model and solution algorithms enable selection of optimal damping parameters.
Conclusions:
- Vibration dampers are effective in mitigating boring mandrel oscillations.
- The mathematical model provides a basis for designing optimized damping systems.
- Further research will involve prototype development and field testing.
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