In order to solve the problem of electromagnetic vibration caused by radial electromagnetic force of interior permanent magnet synchronous motor, a motor topology structure with Halbach magnetizing mode for piecework permanent magnet and auxiliary slots for rotor was proposed. Firstly, the principle of air gap magnetic density, radial electromagnetic force and electromagnetic vibration of the motor is deduced and analyzed, and the finite element model is established. Secondly, an electromagnetic vibration analysis scheme based on the coupling of electromagnetic field and mechanical field is proposed, and the time and space order Fourier decomposition of the radial electromagnetic force of the motor is carried out. In the mechanical field, the amplitude of the vibration acceleration of the motor stator at different frequencies is analyzed, and the modes of the stator are calculated. On this basis, the hierarchical optimization scheme of motor parameter sensitivity was constructed based on response surface method and multi-objective genetic algorithm, and the Pareto frontier of sample points was obtained to determine the optimal parameters of the motor. Comparing the optimized motor with the ordinary V-type interior motor. Finally, the equivalent stress and total deformation of the rotor were simulated in the mechanical field, and the proposed motor structure was verified to meet the mechanical design requirements. The analysis results show that the radial electromagnetic force amplitude of the proposed structure motor is greatly reduced on the basis of no loss of electromagnetic torque, which restrains the groove torque, improves the air gap magnetic density and the sinusoidal degree of back potential, improves the electromagnetic performance of the motor and restrains the electromagnetic vibration.