Time-varying mesh stiffness (TVMS) and loaded static transmission error (LSTE) are considered the main sources of vibration in a gear system. TVMS and LSTE of a helical gear pair have been calculated by using an instantaneous pressure angle. However, this method could not consider the root profile accurately. In this study, an analytical model is proposed to calculate TVMS and LSTE of a helical gear pair. To consider the trochoidal root profile, the profile model is also developed by a virtual rack reflecting the cutter information. The finite element (FE) model of a helical gear is used to validate the proposed analytical model. The LSTE results are highly similar to FE analysis results and relative errors in peak-to-peak values of LSTE are also small. The proposed model is found to be more effective than traditional models in calculating the TVMS and LSTE of both helical gear pairs and spur gears. The changes in the radii of the base circle and root circle according to the helix angle are also investigated.

时变啮合刚度（TVMS）和负载静态传递误差（LSTE）被认为是齿轮系统中振动的主要来源。斜齿轮副的TVMS和LSTE已通过使用瞬时压力角来计算。但是，此方法不能正确考虑根配置文件。在这项研究中，提出了一种分析模型来计算斜齿轮副的TVMS和LSTE。为了考虑摆线根轮廓，轮廓模型还由反映刀具信息的虚拟机架开发。斜齿轮的有限元（FE）模型用于验证所提出的分析模型。LSTE结果与FE分析结果高度相似，并且LSTE峰峰值的相对误差也很小。发现该模型在计算斜齿轮副和正齿轮的TVMS和LSTE方面比传统模型更为有效。还研究了基圆和根圆的半径根据螺旋角的变化。