Shahrood University of Technology Journal of Solid and Fluid Mechanics 2251-9475 13 5 2023 11 22 Investigating the influence of bearings elastic properties on nonlinear dynamics of unbalanced induction motors shaft in presence of asymmetric magnetic pull Investigating the influence of bearings elastic properties on nonlinear dynamics of unbalanced induction motors shaft in presence of asymmetric magnetic pull 137 153 3057 10.22044/jsfm.2023.13173.3745 FA Mohammad Hossein Abbasian Department of Mechanical Engineering, Hakim Sabzevari University Amir Reza Askari Department of Mechanical Engineering, Engineering Faculty, Hakim Sabzevari University, Sabzevar, Iran Abbas Ehsaniseresht Department of Mechanical Engineering, Hakim Sabzevari University. Iran Journal Article 2023 05 24 This paper aims to investigate the influence of bearing elastic properties on nonlinear dynamics of unbalanced rotors. Accounting for the influence of asymmetric magnetic pull, the governing equations of motion associated with the rotor are obtained using the nonlinear Euler-Bernoulli beam theory. Adopting the Galerkin projection method, the reduced equations of motion are extracted and then solved analytically through the method of multiple time scales for the cases of free vibrations and primary resonances. Aside from the numerical simulations, the present findings are compared and successfully validated by those published in the previous studies. Afterward, a detailed parametric study is conducted to assess the influences of asymmetric magnetic pull, nonlinear stiffnesses of the bearings and the eccentricity on nonlinear dynamics of the system. Results reveal that accounting for the influence of asymmetric magnetic pull decreases the natural frequencies of the system. In addition, it is observed that increasing the eccentricity increases the amplitudes of vibrations and also broadens the bistable resonance zone. This paper aims to investigate the influence of bearing elastic properties on nonlinear dynamics of unbalanced rotors. Accounting for the influence of asymmetric magnetic pull, the governing equations of motion associated with the rotor are obtained using the nonlinear Euler-Bernoulli beam theory. Adopting the Galerkin projection method, the reduced equations of motion are extracted and then solved analytically through the method of multiple time scales for the cases of free vibrations and primary resonances. Aside from the numerical simulations, the present findings are compared and successfully validated by those published in the previous studies. Afterward, a detailed parametric study is conducted to assess the influences of asymmetric magnetic pull, nonlinear stiffnesses of the bearings and the eccentricity on nonlinear dynamics of the system. Results reveal that accounting for the influence of asymmetric magnetic pull decreases the natural frequencies of the system. In addition, it is observed that increasing the eccentricity increases the amplitudes of vibrations and also broadens the bistable resonance zone. https://jsfm.shahroodut.ac.ir/article_3057_d25e504b3358158cffce8c7c7534c42f.pdf