Applications Of Gibbs Phenomenon In Engneering Education

1 2 are important in many problems in physics, engineering and biology. Here, a a b n n 0 , , , are coefficients to be determined. Such series and periodic functions that can be represented by them arise naturally in many practical applications. Yamashiro and Grudins[20] used Fourier series to model the flow of air in the lungs; many electric sources of energy generate waveforms that are periodic; sweep generators used to control electron beams in cathode-ray oscilloscopes produce triangular waves; nonlinearities that arise in circuits that are supposed to be linear create periodic functions; and when a nonfiltered electronic rectifier is driven by a sinusoidal source, it produces sine waves that are rectified [21]. Fourier series are used in a wide variety of other fields including electromagnetic wave theory [6], heat transfer [9], acoustics [23], mechanical and structural vibrations [11], and frequency analysis of signals [5].