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Effect of sliding friction in harmonic oscillators
Miguel V Vitorino1,2, Arthur Vieira1,2, Mario S Rodrigues3,4
1Biosystems & Integrative Sciences Institute, Faculdade de Ciências, Universidade de Lisboa, 1749-016, Lisboa, Portugal.
Scientific Reports
|June 18, 2017
Summary
This study introduces a model for harmonic oscillators that accounts for both sliding and viscous friction. The model successfully separates these dissipation types, validated by experiments on a quartz tuning fork.
Area of Science:
- Physics
- Mechanical Engineering
- Materials Science
Background:
- Harmonic oscillators are fundamental in physics, but sliding friction's effects are often overlooked.
- Understanding dissipation mechanisms is crucial for accurate modeling of oscillatory systems.
Purpose of the Study:
- To develop an analytical model incorporating both viscous and sliding friction in harmonic oscillators.
- To enable the separation and quantification of different dissipation types.
Main Methods:
- Proposed a novel analytical model for harmonic oscillators with dual friction components.
- Experimentally validated the model using a quartz tuning fork subjected to nanometric vibrations.
- Utilized atomic force microscopy to disturb the tuning fork's motion and analyze resonance and 'ring down' curves.
Main Results:
- Successfully separated and quantified viscous damping and sliding friction.
- Demonstrated agreement between the model's predictions and experimental data from resonance and 'ring down' analyses.
- Confirmed the model's efficacy through two distinct experimental approaches.
Conclusions:
- The proposed model provides a robust framework for analyzing harmonic oscillators with combined friction.
- This work bridges a gap in understanding oscillatory system dynamics by including sliding friction.
- The findings have implications for precision instrumentation and nanoscale mechanical systems.
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