RELATIONSHIP BETWEEN MEAN-VALUE AND FOURIER COEFFICIENTS OF A TIME-VARYING FUNCTION WITH HALF-PERIOD RESTS - THEORY AND APPLICATION

The Fourier coefficients are investigated for such a periodic time fun ction whose magnitude keeps constant during the time of every half-per iod. In this case the relationship between the mean value and the Four ier coefficients is achieved using appropriate mathematical theory. It was applied successfully to the study of torsional harmonic excitatio ns due to gas pressure in a four-cycle IC engine. A formula relating t he truncated Fourier coefficient series to MIP has been established wi th very little error. The series simulation of Fourier coefficients is utilized in the determination and analysis of excitations.