Discrete state space method and modal extension method based impact sound synthesis model** Project supported by the National Natural Science Foundation of China (Grant Nos. 11574249 and 11874303) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JQ1001).

Abstract

The efficient and accurate synthesis of physical parameter-controllable impact sounds is essential for sound source identification. In this study, an impact sound synthesis model of a cylinder is proposed based on discrete state space (DSS) method and modal extension method (MEM). This model is comprised of the whole three processes of the physical interaction, i.e., the Hertz contact process, the transient structural response process, and the sound radiation process. Firstly, the modal expanded DSS equations of the contact system are constructed and the transient structural response of the cylinder is obtained. Then the impact sound of the cylinder is acquired using improved discrete Raleigh integral. Finally, the proposed model is verified by comparing with existing models. The results show that the proposed impact sound synthesis model is more accurate and efficient than the existing methods and easy to be extended to the impact sound synthesis of other structures.