A Lagrangian approach for the electromechanical model of single-stage spur gear with tooth root cracks

This paper presents a unified electromechanical modeling framework of a single-stage spur gear with cracks at tooth root. The model has been developed following modified Lagrangian approach with the consideration of Rayleigh dissipative potential. The coupled electromechanical equations of motion represent a non-autonomous system. Improved analytical model based time-varying mesh stiffness (IAM-TVMS) at different crack depths is incorporated in...