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A dynamics model of herringbone planet train with double teeth coupling is established based on the vibration theory of the concentrated parameter. The mesh stiffness formula of the helical gear is introduced to calculate the time-varying mesh stiffness of the herringbone teeth in the way of stiffness parallel of two helical gears. The relationship curves between the mesh stiffness of the internal and external meshes and the dynamic load coefficients of the internal and external meshes are obtained by solving the dynamic equation, and the impact of the mesh stiffness of the internal and external meshes on the dynamics load characteristics of the train is analyzed. The research results show that the dynamic load coefficients of the internal and external meshes increase with the average components of the mesh stiffness of internal and external meshes without regard to the resonance, respectively. The impact of the alternate component of the mesh stiffness of the internal and external meshes on the dynamic load coefficients is much less. Because of smooth operation and small vibration of the herringbone tooth, it is feasible that the average component of the mesh stiffness represents the mesh stiffness for the calculation of dynamic load coefficient of herringbone planetary train, when the required accuracy is not too high. [ABSTRACT FROM AUTHOR]

Because rigidity of either hub or rim of diaphragm coupling is much greater than that of the disk, and asymmetrical bending is under the condition of high speed revolution, an assumption is made that each circle in the middle plane before deformation keeps its radius unchanged after deformation, but the plane on which the circle lies has a varying deflecting angle. Based on this assumption, and according to the principle of energy variation, the corresponding Euler’s equation can be obtained, which has the primary integral. By neglecting some subsidiary factors, an analytic solution is obtained. Applying these formulas to a hyperbolic model of diaphragm, the results show that the octahedral shear stress varies less along either radial or thickness direction, but fluctuates greatly and periodically along circumferential direction. Thus asymmetrical bending significantly affects the material’s fatigue. [ABSTRACT FROM AUTHOR]