Abstract

In this research, a drivetrain system consisting of three shafts coupled by two joints is considered. This drivetrain system is able to transfer out-of-plane motion. To yield a more realistic model, the interconnected shafts are simulated by the finite element method. The dynamic stability is also analyzed using a computational method called monodromy matrix. Finally, the unstable areas are identified and the effects of various system parameters are discussed. Furthermore, the distributed parameter model is compared with a basic lumped mass model that is common in two-axis shafts. Moreover, there are several unstable areas, which have not been found using lumped mass models. Subsequently, the finite element model is feasible to examine the torsional vibrations of multi-axis driving shafts.

摘要

在本研究中，考虑了由通过两个关节耦合的三个轴组成的传动系统。该传动系统能够传递平面外运动。为了产生更真实的模型，通过有限元方法对互连轴进行模拟。还使用称为单性矩阵的计算方法来分析动态稳定性。最后，识别不稳定区域并讨论各种系统参数的影响。此外，还将分布参数模型与两轴中常见的基本集中质量模型进行了比较。此外，还有一些不稳定区域，使用集总质量模型尚未发现。随后，有限元模型可用于检验多轴驱动轴的扭转振动。