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Periodic driving forces

2. What will we do in this chapter?. We will consider the problem of driving a damped harmonic oscillator with a periodic but non-sinusoidal driving force. A periodic driving force has the property that f(t t) = f(t) where t is the period. This is an interesting problem , but more importantly, it

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Periodic driving forces

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    1. 1 Periodic driving forces Principle of Superposition Particular solution for a sum of cosine waves Fourier Series Periodic functions The fundamental frequency Orthogonal functions Obtaining Fourier coefficients Analogy with vector components Fourier Series examples The square wave The saw tooth wave

    2. 2 What will we do in this chapter?

    3. 3 Superposition

    4. 4 Fourier Series

    5. 5 Orthogonal functions

    6. 6 Orthogonal functions continued

    7. 7 Obtaining Fourier coefficients

    8. 8 Completing the coefficients

    9. 9 Evaluate the square wave Fourier coefficients

    10. 10 Square wave series

    11. 11 Our particular �square� solution

    12. 12 How to find a Fourier Series

    13. 13 Saw tooth wave example

    14. 14 The Saw Tooth continued...

    15. 15 A shifted saw tooth

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