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Lecture Notes in Differential Equations - Bruce E. Shapiro

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216 LESSON 25. HARMONIC OSCILLATIONS<br />

Figure 25.2: The amplitude of oscillations as a function of the frequency<br />

of the forc<strong>in</strong>g function, α, as given by (25.29), is shown for various values<br />

of the damp<strong>in</strong>g coefficient b = 1, 0.3, 0.1, 0.03, 0.01 (bottom to top) with<br />

ω = 1.The oscillations resonate as α → ω.<br />

10 000 F 0<br />

Frequency of Forc<strong>in</strong>g Function<br />

Magnitude of Oscillations<br />

1000 F 0<br />

100 F 0<br />

10 F 0<br />

F 0<br />

<br />

2

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