Abstract: The finite element method (FEM) takes much more memory space and computing time for establishing a magnetic circuit geometrical model for the analysis of the air-gap magnetic field . An efficient analytical approach is presented to solve the air-gap magnetic field of electromagnetic angular vibrators based on the equivalent magnetization intensity method (EMIM). The differential equations of the magnetic potential vector are built up based on the EMIM, and an analytical expression of magnetic flux density (MFD) that contains the geometrical parameters of magnetic circuit is derived. The effectiveness of EMIM is verified by comparing the calculated results of FEM and EMIM. The magnetic circuit parameters are optimized by using EMIM. The results show that the region of the effective uniform MFD is widened with the increase in the sector angle of permanent magnet (PM), and MFD in the air-gap becomes strong with the increase in the thickness of PM when the thickness of air-gap remains constant. MFD decreases with the increase in the thickness of air-gap when the sector angle and thickness of PM remain constant. The proposed method can be used to quickly analyze the parameters of magnetic circuit that impact on the air-gap magnetic field, and provide the theoretical reference of the magnetic circuit optimal design in electromagnetic angular ribrators. Key

Key words: electromagnetism, angularvibrator, air-gapmagneticfield, equivalentmagnetizationintensitymethod, finiteelementmethod