Forced Oscillations
Post on 19-Jan-2016
76 Views
Preview:
DESCRIPTION
Transcript
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
top related