Transmission error (TE) in geared rotors is a predominant source of inherent excitation at the pitch point of the gear meshing. In this paper, a transverse vibration analysis is presented to study the effect of TE on geared rotors. Due to asymmetry in the TE, it is expected to have both forward and backward whirls excited during rotor whirling, which could be used for its detection. This aspect has been envisioned first time in the present work. To capture this, an approach of orienting the line of action of a gear-pair along oblique plane is considered and the mathematical modeling has been performed of a simple spur gear-pair connecting two parallel shafts at its mid-span with an asymmetric TE. To capture the forward and backward whirls, equations of motion are converted into a complex form that facilitates obtaining response in full spectrum. The response of system model with assumed transmission error and gear-pair parameters has been obtained through a numerical simulation, which shows distinctly the forward and backward whirls due to the TE. Through a simple test rig experimentation, a similar behaviour was observed in transverse vibrations of geared rotors in the full spectrum, which validate the proposed model.

齿轮转子的传动误差（TE）是齿轮啮合的转折点处固有激励的主要来源。本文提出了横向振动分析，以研究TE对齿轮转子的影响。由于TE中的不对称性，预计在转子旋转时会同时激发前向和后向旋转，可将其用于检测。在本工作中已经首次设想了这一方面。为了捕获这一点，考虑了一种使齿轮副的作用线沿斜面定向的方法，并且已经进行了简单的正齿轮副的数学建模，该副齿轮副在其中跨处用不对称的TE连接两个平行轴。为了捕获向前和向后的旋转，将运动方程式转换为有助于获得全光谱响应的复杂形式。通过数值模拟获得了具有假定的传动误差和齿轮对参数的系统模型的响应，该仿真清楚地显示了由于TE引起的前向和后向旋转。通过简单的试验台实验，在全光谱范围内的齿轮转子横向振动中观察到了类似的行为，从而验证了所提出的模型。