This paper presents a novel calculation method for dynamic excitation of the 3-D modified double-helical gear pair in consideration of actual contact state. The 3-D modification method combines tip, root, and axial modification. Firstly, the tooth surface equation of double-helical gear with 3-D modification is derived and the calculation method for time-varying mesh stiffness (TVMS) of the modified double-helical gear pair is proposed and the effects of modification parameters on TVMS are studied. Secondly, the tooth surface load distribution is analyzed on the basis of TVMS for the double-helical gear pair. Accounting the influence of modification parameters on tooth surface friction coefficient, the time-varying friction excitation (TVFE) of the modified double-helical gear pair is researched. Besides, combining approach mesh stiffness of the modified double-helical gear pair and impact dynamic model, the calculation formula of meshing impact force (MIF) is proposed, and the effects of helix angle and modification parameters on MIF are discussed. The calculation methods of TVMS, TVFE and MIF proposed in this paper will be useful for accurate prediction about vibration and noise of the double-helical gear system.

本文提出了一种考虑实际接触状态的3-D修正双斜齿轮副动态激励的新计算方法。3-D 修改方法结合了尖端、根部和轴向修改。首先推导了三维修形双斜齿轮齿面方程，提出了修形双斜齿轮副时变啮合刚度(TVMS)的计算方法，并给出了修形参数对TVMS的影响。学习了。其次，基于TVMS分析了双斜齿轮副的齿面载荷分布。考虑修形参数对齿面摩擦系数的影响，研究了修形双斜齿轮副的时变摩擦激励（TVFE）。除了，结合修正双斜齿轮副的逼近啮合刚度和冲击动力学模型，提出了啮合冲击力（MIF）的计算公式，并讨论了螺旋角和修正参数对MIF的影响。本文提出的TVMS、TVFE和MIF的计算方法将有助于双斜齿轮系统振动噪声的准确预测。