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Forced Oscillations

Forced Oscillations. Solution= Complementary Function + Particular Integral. Solutions. Complementary Functions are transients. Steady State behaviour is decided by the Particular Integral. Solution with Damping. Amplitude and Phase (again). Amplitude and Phase (again). -.

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Forced Oscillations

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  1. Forced Oscillations Solution=Complementary Function + Particular Integral

  2. Solutions Complementary Functions are transients Steady State behaviour is decided by the Particular Integral

  3. Solution with Damping

  4. Amplitude and Phase (again)

  5. Amplitude and Phase (again) -

  6. Some Key Points High frequency and low frequency behaviour unchanged by damping Amplitude is finite throughout Maximum Amplitude at

  7. Average Energy PHYSICS 1 • Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India http://www.cts.iitkgp.ernet.in/~phy1/

  8. Average Energy Plot

  9. Mild Damping Maxima at

  10. Mild Damping Maxima at Lorentzian Profile

  11. FWHM FHWM=

  12. Power

  13. Average Power Using

  14. Average Power

  15. Mild Damping Lorentzian Profile

  16. Average Power

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