Sound in brass instruments

In the diploma thesis I present the main characteristics of the brass instruments and the principles how they work. I describe in detail the stucture of the trumpet. The theoretical treatment of cylindrical, conical, Salmon's and Bessel's tubes are outlined. In the following I focus on the description of acoustical properties of the truncated conical tube, for which I derive analytical expressions for the dependence of the acoustical pressure and the flow rate on the distance, as well as for resonant frequencies. I check the theoretical predictions on a model of the truncated conical tube. At the end I examine which model of a tube is suitable for the description of resonant frequencies of the trumpet