My research, thus far, consists of building two kinds of models of rigid-wall trumpets by the finite element method. My research demonstrates feasibility by solving the eigenfrequencies, the impulse response (or the transfer function) and the modulated input source that is supposed to be capable of reproducing a Viennese style trumpet sound via a regular piston trumpet. In addition, the objective of this research has been achieved to some extent such that future improvement is possible.