The Enhanced Volume Source Boundary Point Method (EVSBPM) for the calculation of acoustic radiation problem

The volume source boundary point method (VSBPM) put forward is greatly improved so that it will speed up the VSBPM solution of the acoustic radiation problem caused by the vibrating body. The fundamental solution provided by Helmholtz equation is enforced in a weighted residual sense over a tetrahedron located on the normal line of the boundary node (directed away from the field under research) to replace the coefficient matrices of the system equation. Through the enhanced volume source boundary point analysis of various examples and the sound field of a simulated axial box of the lathe tool, it has revealed that the EVSBPM works on the aspects of its calculating precision and stability, adaptation to arbitrary shape of vibrating body, its ability to overcome the non-uniqueness problem as well as its calculating velocity more than 10 times higher than the VSBPM's.