Vibration of a Bowed String : 1st Report, Monochord Subject to Air Resistance only-N0. 2

Abstract

Steady self-excited vibrations of a bowed string, which is perfectly flexible and subject to negative damping due to solid fractional force of general characteristic and to positive damping due to air resistance only, are studied by means of a Fourier series method utilizing series transformation. Contrary to the foregoing paper where the limiting case of air resistance tending to zero is investigated, in this paper it remains finite but small.