Nowadays, profile shift is one of the most powerful techniques to achieve high-performance spur gear transmission system. Although this technique has been widely used in industry, its influence on time-varying meshing stiffness (TVMS) and dynamic characteristics is still unclear. This paper presents a novel analytical model of TVMS for profile-shifted spur gears. The modification coefficient and transition curve revise the proposed model. Afterward, numerical simulations are carried out to analyze individual and compound shifts based on a six-degree of freedom gear model. For individual shifts, the positive shift can decrease the gear tooth's stiffness and TVMS so that it causes stronger vibrations in the gear system. On the contrary, the negative shift can improve the gear tooth's stiffness and TVMS, thereby mitigating the gear system's vibration. For compound shift, S₀-gearing poses a slight impact on TVMS, but an unneglectable effect on dynamic characteristics. Besides, the S-gearing with the positive compound shift can decrease TVMS and increase vibration. In contrast, the S-gearing with the negative compound shift leads to TVMS rising and significantly reducing vibration. The insightful findings derived from the study can help engineers and manufacturers better understand the operation performance and dynamic features of profile-shifted spur gears.

如今，齿廓移动是实现高性能正齿轮传动系统的最有力的技术之一。尽管该技术已在工业中得到广泛应用，但其对时变啮合刚度（TVMS）和动态特性的影响仍不清楚。本文提出了一种新的用于轮廓移动正齿轮的 TVMS 分析模型。修正系数和过渡曲线修正了所提出的模型。然后，基于六自由度齿轮模型进行数值模拟以分析单独和复合换档。对于单个换档，正换档可以降低齿轮齿的刚度和 TVMS，从而在齿轮系统中引起更强的振动。相反，负移可以提高齿轮齿的刚度和 TVMS，从而减轻齿轮系统的 s 振动。对于复合位移，S_0- gearing 对 TVMS 有轻微影响，但对动态特性的影响不可忽视。此外，带有正复合换档的 S 齿轮可以降低 TVMS 并增加振动。相比之下，带有负复合位移的 S 齿轮导致 TVMS 上升并显着减少振动。从研究中得出的富有洞察力的发现可以帮助工程师和制造商更好地了解齿廓移动正齿轮的运行性能和动态特性。