Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India http://www.cts.iitkgp.ernet.in/~phy1/ Forced Oscillations Solution=Complementary Function + Particular Integral
Forced Oscillations
Jan 19, 2016
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). -. - PowerPoint PPT Presentation
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Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Forced Oscillations
Solution=Complementary Function +Particular Integral
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Solutions
Complementary Functions are transients
Steady State behaviour is decided by theParticular Integral
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Solution with Damping
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Amplitude and Phase (again)
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Amplitude and Phase (again)
-
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Some Key Points
High frequency and low frequency behaviour unchanged by damping
Amplitude is finite throughout
Maximum Amplitude at
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/ Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Average Energy
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Average Energy Plot
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Mild Damping
Maxima at
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Mild Damping
Maxima at
Lorentzian Profile
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
FWHM
FHWM=
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Power
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Average Power
Using
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Average Power
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Mild Damping
Lorentzian Profile
Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 Indiahttp://www.cts.iitkgp.ernet.in/~phy1/
Average Power
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