Forced Oscillations Solution=Complementary Function +

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Presentation transcript:

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) -

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

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

Average Energy Plot

Mild Damping Maxima at

Mild Damping Maxima at Lorentzian Profile

FWHM FHWM=

Power

Average Power Using

Average Power

Mild Damping Lorentzian Profile

Average Power