“…During the past three decades, numerous models for gear systems have been presented for specific purposes [1]. Different models show different targets, such as dynamic tooth loads [2,3], bending stresses [4], contact stresses [5], gear errors [6][7][8], vibratory motion of gear systems [9], etc. The effects of profile errors and mesh speed on the tooth pair mesh excitation spectrum [10][11][12] were introduced, which entail a full dynamic analysis.…”