How to find damping ratio from a graph ?

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SUMMARY

The discussion focuses on determining the damping ratio from a graph using its (x,y) values. The recommended method involves fitting the equation y(t) = -e^{-at} sin(ωt) to the data points. Additionally, a reference to the Wikipedia page on damping provides foundational knowledge on the topic. This approach is essential for accurately analyzing the damping characteristics of the system represented by the graph.

PREREQUISITES
  • Understanding of damping concepts and terminology
  • Familiarity with curve fitting techniques
  • Knowledge of the mathematical equation y(t) = -e^{-at} sin(ωt)
  • Basic skills in data analysis and graph interpretation
NEXT STEPS
  • Research curve fitting methods in Python using libraries like SciPy
  • Learn about the physical significance of damping ratios in mechanical systems
  • Explore advanced techniques for data smoothing and noise reduction
  • Study the implications of different damping ratios on system behavior
USEFUL FOR

Engineers, physicists, and data analysts who are involved in system dynamics, particularly those interested in analyzing oscillatory systems and their damping characteristics.

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I have a graph. I have all its (x,y) values. How can the damping ratio from this graph ?
 

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