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External Forcing. SHO with an additional external force. PHYSICS 1. Why this particular type of force?. Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India http://www.cts.iitkgp.ernet.in/~phy1/. Fourier Series.
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External Forcing SHO with an additional external force PHYSICS 1 Why this particular type of force? • Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India http://www.cts.iitkgp.ernet.in/~phy1/
Fourier Series For any arbitrary time varying force
Solution using Fourier Series Find solution for a single frequency Superpose solutions
The equation where Solution=Complementary Function + Particular Integral
Low Frequency Response Stiffness Controlled Regime
High Frequency Response Mass Controlled Regime solution of
Effect of Damping Solution=Complementary Function + Particular Integral
Solutions Complementary Functions are transients Steady State behaviour is decided by the Particular Integral
Some Key Points High frequency and low frequency behaviour unchanged by damping Amplitude is finite throughout Maximum Amplitude at