Abstract

A computer has been constructed to sum Fourier series having up to 30 terms. Although this is a one-dimensional computer it can be used for double and triple summations by using standard trigonometric expansions. ODFAC sums Σn Fnsincos2πnx electrically. The trigonometric function is produced by a variable-angle transformer known as a resolver. Each amplitude is set by a variac which regulates the input to a particular resolver. The frequencies 2πnx for 31 values of n are arranged by gearing the rotors of the resolvers in ratios 0, 1, 2,…30. The resultant individual currents are added in parallel and the value at point x (in intervals of 1/60, 1/120, or 1/240 of a cell edge) is read on a voltmeter and the phase is read on an oscilloscope. The relative speed of a computation is five to ten times faster than the standard strip methods. The average error in a computation compares favorably with the rounding-off error in conventional two-place strips.

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