Natural and Fundamental Frequencies

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SUMMARY

This discussion clarifies the distinction between natural frequencies and fundamental frequencies in linear systems. Natural frequencies characterize the transient behavior of these systems, while fundamental and harmonic frequencies are relevant in the steady state when excited by specific waveforms, such as square waves or sinusoids. Understanding these concepts is crucial for accurately identifying and analyzing the frequency response of linear systems.

PREREQUISITES
  • Linear system theory
  • Transient and steady-state analysis
  • Waveform characteristics (square wave, sinusoid)
  • Frequency response analysis
NEXT STEPS
  • Study the principles of linear system theory
  • Explore transient and steady-state response in depth
  • Investigate the effects of different waveforms on system behavior
  • Learn about frequency response analysis techniques
USEFUL FOR

Engineers, physicists, and students involved in system dynamics, particularly those focusing on the analysis of linear systems and their frequency characteristics.

duoheer
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How could you tell if you had missed one of the natural frequencies when you were finding natural frequencies above the fundamental? thnx a lot
 
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duoheer said:
How could you tell if you had missed one of the natural frequencies when you were finding natural frequencies above the fundamental? thnx a lot
Natural frequencies and fundamental frequency are different concepts. Natural frequencies are characteristics of linear systems and are associated with the transient behaviour of the system.
Fundamental and harmonic frequencies appear in the steady state of a linear system excited by a non sinusoidal periodic waveform (like a square wave) or a nonlinear system excited by a sinusoid.
 

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