This invention relates to the field of
aerospace and ship
gear transmission technology, specifically to a long-cycle multi-source excitation calculation method for herringbone gears considering asymmetric
pitch deviation. Based on the gear generating principle, the theoretical
tooth surface equations of the large and small gears are derived. The small gear undergoes bidirectional modification to obtain the position and normal vector of its modified
tooth surface. The geometric contact analysis of the
herringbone gear is decomposed into independent analyses of the left and right
helical gear pairs. A TCA model is established and solved to obtain the
tooth surface contact trajectory, initial tooth surface clearance, and geometric transmission error. Displacement compatibility conditions and
axial force equality constraint equations are constructed. An improved load-bearing contact analysis model is established and solved using an improved simplex method. Iterative solutions yield the comprehensive
meshing stiffness, axial runout, and comprehensive meshing error over the long cycle. This invention achieves differentiated and accurate calculation of the excitation in each meshing cycle of the
herringbone gear over the long cycle, quantifies the axial runout excitation, and obtains multi-source excitation in one go, providing a complete vibration excitation input for the dynamic model of the
herringbone gear transmission system.