This paper presents a multi-physics analytical model with a strong electro-magneto-mechanical coupling to simulate the dynamic behaviors of an asynchronous electrical machine with an air-gap eccentricity. The electromagnetic force including the unbalanced magnetic pull (UMP) is worked out based on virtual work method. By comparing the simulation results from the model coupled or not coupled with the mechanical part, the electro-magneto-mechanical interactions effect is studied in the case with static eccentricity. The parameters of a 7.5 Kw electric motor is used to validate part of the proposed model. Thanks to the framework of angular approaches, rich modulation phenomenas corresponding to strong coupling effect and characteristic frequency harmonics are identified in the simulation results spectrum.