Vibro-acoustic analysis of cellos using the finite and boundary element methods and its application to studies on the effects of endpin properties

In this paper, an improved vibro-acoustic analysis method for cellos is presented. The soundpost and endpin are physically modeled as ordinary beams. The cello box, bassbar, bridge, and neck are physically modeled as shells. Their governing equations are numerically analyzed by the finite element method, yielding an equation of motion of the total multi-degree-of-freedom system. The radiated sound field around the cello box is dealt with using the normally differentiated Kirchhoff-Huygens integral equation, which is numerically analyzed by the boundary element method. All vibration and sound fields are fully coupled. The proposed method is validated through measurements of a cello. As an application of the developed numerical method, the authors investigate the effects of endpin properties.