Numerical Investigation of Blowing-Pressure Effects on Artificial Lip Vibration in Brass Instruments

抄録

This study investigated the influence of blowing pressure on the sound production mechanism of brass instruments, focusing on changes in the geometric stiffness of the lips. We employed a numerical analysis method, integrating pressuredependent eigenfrequencies estimated via finite element analysis into one-dimensional time-domain simulations. The analysis suggested that increased blowing pressure may raise the lips’ eigenfrequencies through enhanced geometric stiffness associated with quasi-static deformation. By enabling independent adjustment of physical parameters in the numerical analysis--a challenge in experiments using physical artificial lips--we observed the potential contributions of factors like Young’s modulus and density to the oscillation threshold and mode transitions. Although based on specific numerical assumptions, these findings present a preliminary framework for examining the role of geometric stiffness in oscillation. This research provides fundamental insights for analyzing the dynamic characteristics of the lips and designing artificial blowing devices.