Study on non-liner numerical simulation of vibration of power transmission gear system (2nd report, non-liner dynamic characteristics of stiffness and damping of gear coupling)

This paper discusses the nonlinear characteristics of the gear coupling derived by tooth contact analysis and the verification test of the analysis method. Tooth contact analysis evaluates the load distribution by solving simultaneous linear inequality derived from compatibility condition of the tooth deformation and balance condition of the force. By applying this method to the gear coupling, we evaluated bending moment and shear force. It was found that nonlinearity of stiffness and damping occurred by the change of contact region of all teeth by load torque or alignment. Rotor dynamics coefficient of the gear coupling was clarified, and it was enabled that the nonlinearity of the gear coupling could be considered for the design of rotating machinery. Next, the tooth stress, bending moment and shear force were measured in the static loading test to verify the analysis method. Analysis results showed the good agreement with the experimental ones, and it was clarified that the analysis method was appropriate.