The lumped parameter model (LPM) is a common modeling method for simulating the vibration signal of the planetary gearbox. Generally, the simulation results are not directly used for the subsequent analysis, because two factors need to be considered: the transmission paths of vibration signals and the amplitude modulation effect of the carrier. However, both of these factors are subjectively affected. In order to overcome this problem, a new method for generating the gearbox vibration signal is proposed. Based on LPM, the vibration displacement of each component is solved, and meshing forces of the internal gear pairs are calculated. Then, the ring gear with bolt constraints is simplified to the Euler-Bernoulli beam, and the vibration signal of any point on the ring gear is established by solving the vibration of the beam. Subsequently, based on the new signal model, the transmission mechanism, the amplitude modulation and the overlapping phenomenon of the vibration signal, and the effect of bolt constraint on the vibration of the gearbox are analyzed. Finally, the correctness of the new method and the effect of bolt constraint on the vibration signal are verified by experiments.

集总参数模型（LPM）是用于模拟行星齿轮箱振动信号的常用建模方法。通常，仿真结果不直接用于后续分析，因为需要考虑两个因素：振动信号的传输路径和载波的幅度调制效果。但是，这两个因素都受到主观影响。为了克服这个问题，提出了一种用于产生齿轮箱振动信号的新方法。基于LPM，解决了每个组件的振动位移，并计算了内齿轮对的啮合力。然后，将具有螺栓约束的齿圈简化为欧拉-伯努利梁，并通过求解横梁的振动来建立齿圈上任何一点的振动信号。后来，基于新的信号模型，分析了振动信号的传输机理，振幅调制和重叠现象，以及螺栓约束对变速箱振动的影响。最后，通过实验验证了新方法的正确性以及螺栓约束对振动信号的影响。