Acoustic Design of Elliptical Bells for Chime Sound Simulation

Abstract

This project seeks to unravel the opulent acoustical characteristics and sonic effects of ancient Chinese chime bells. Initially, distinctive features of the chime bells are encapsulated, highlighting the bifonic phenomenon and elucidating the role of fundamental and harmonic frequencies in chime bell sound production, while emphasizing the timbral diversity attributable to its multifrequency sound source. An exploration into the impacts of various factors on chime bell sound, such striking position, is conducted through experimentation with a bronze chime bell model, underscoring their significant influence. Employing experimental modal analysis methods, vibrational modes of the chime bell surface at disparate frequencies are revealed, laying a foundation for understanding the sound production principles. Furthermore, image processing technologies are utilized to construct a 3D model of the chime bell, and finite element modal analysis methods are applied to visualize its modes. The feasibility of using a circular ring to simulate chime bell sound is explored, identifying the elliptical ring as a more promising option and undergoing numerous rounds of iterative optimization. The theoretical research is brought to fruition by manufacturing a cast iron elliptical ring model for striking experiments, thereby validating the theoretical insights. In summation, this research provides a comprehensive and systematic exploration into the acoustical mechanisms and design principles of chime bells, offering invaluable insights into ancient Chinese music and cultural heritage. The multi-faceted and rich nature of chime bells as musical instruments is unveiled through the integrated application of various methods, deepening the understanding of their acoustical characteristics.