In order to study the vibration and noise of the induction motor under practical working conditions, a database of magnetization and magnetostrictive curves of silicon steel under different harmonic excitations was tested. Based on the measured constitutive relations, an electromagnetomechanical coupled numerical model for the motor core was presented. Considering the electromagnetic force and magnetostriction effect of silicon steel, the magnetic field and mechanical field were calculated for the induction motor. The distribution of the magnetic flux density, stress and vibration of the motor were obtained from the calculation. And the influence of different harmonics on the vibration was analyzed, which provided the theoretical basis for vibration and noise reduction of induction motors.