Discrete Acoustical Resonators with Harmonic Eigenfrequencies
Résumé
The present paper deals with the calculation of resonators built as a concatenation of cylinders with equal lengths, named discrete resonators hereafter, and having harmonic eigenfrequencies when closed at the input. It is shown that for a given harmonic series there is a large variety of solutions due to the periodicity and symmetry of the impedance spectrum. Some resolution methods are proposed. Solutions are presented and discussed for resonators made with one to six cylinders. Results give some insight useful for the optimum design of reed or brass instruments.