Random Vibration of an Internal Gear in Planetary Gear Trains Subjected to Sequential Moving Loads.

承受连续移动载荷的行星齿轮系内齿轮的随机振动。

• 批准号: RGPIN-2020-05008
• 负责人: Yang, Jianming
• 金额: $ 1.97万
• 依托单位: Memorial University of Newfoundland
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2022
• 资助国家: 加拿大
• 起止时间: 2022-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=760317
• 关键词: Random; Vibration; Internal; Gear; Planetary

A challenge faced by the wind power industry is the premature failure of gearboxes, causing significant downtime and major economic losses. The principal cause of this problem is a lack of fundamental understanding and accurate predictions of the dynamics. Thus, a detailed investigation on the vibrations and dynamics of the planetary gear train (PGT) in the gearbox is a critical step to improve the reliability of the gearbox. After working on this issue for several years, our team's attention was drawn to the ring (internal) gear whose dynamic properties are not yet well accounted for in existing modeling techniques. The ring gear in a PGT meshes with 3 to 5 planet gears in sequence simultaneously. It is generally designed with a thin rim for the sake of weight saving. In this case, two effects, the flexibility of the ring and the moving loads, become outstanding, causing more complicated resonances to the system, and affecting the dynamics of the whole gearbox. This proposed research will focus on the investigation of these two effects of a thin ring. The free vibration, forced vibration and stability of a thin ring under multiple, sequential moving random loads will be systematically investigated. Analytical, numerical and experimental methods will be used in this investigation. The first step will be to find new ways to calculate the free vibration of the ring with the gear teeth and general supports (boundary conditions) considered. The forced vibration will be investigated as the second step in two ways. First, the gear mesh loads are treated as moving and random point forces. The objective is to obtain the ring's dynamic response without considering the interaction between the ring and the remaining parts of the PGT. Secondly, the ring under random moving loads is integrated into the dynamics model of the whole PGT. The carrier, the sun, and the planets are modeled in this step as a vibrator which is coupled with the ring through springs (gear tooth meshes). Using these two models, the random dynamics of the whole PGT can be thoroughly investigated. The moving loads bring in extra time-varying parameters in addition to the inherent time-varying stiffness in gear dynamics. More complicated resonances (stability) exist. Thus, the stability of the system under the two types of time-varying parameters will be systematically investigated, in the third step, with the Floquet theory and perturbation methods. The short-term objective is to find solutions to improve the reliability and life expectancy of wind turbine gearboxes. In the long term, the outcome of this research program aims to benefit not only the wind power industry, but also other related areas given that ring-like structures subjected to moving loads are widely used in automotive, helicopters, electric motors, and power generators, etc. In addition, the HQP trained in nonlinear and random vibration theory will be a valuable asset to Canadian industry and academics.

风能行业面临的挑战是变速箱的过早故障，造成了巨大的停机时间和重大的经济损失。这个问题的主要原因是缺乏对动态的基本理解和准确的预测。这是对变速箱中行星齿轮序列（PGT）的振动和动力学的详细研究是提高变速箱可靠性的关键步骤。在处理了几年之后，我们的团队的注意力吸引到了戒指（内部）齿轮，其动态属性在现有的建模技术中尚未得到很好的解释。 PGT中的环形齿轮简单地与3至5个行星齿轮隔断。它通常以较薄的边缘设计，以节省重量。在这种情况下，有两个效果，即环和移动载荷的灵活性，变得出色，引起了系统的复杂共振，并影响整个变速箱的动力学。这项拟议的研究将集中于薄环的这两种效果的投资。在多个，连续移动的随机载荷下，薄环的自由振动，强制振动和稳定性将被系统地研究。该投资将使用分析，数值和实验方法。第一步是找到使用齿轮齿和一般支撑（边界条件）计算环的自由振动的新方法。将研究强制振动。作为第二步，分为两种方式。首先，将齿轮网荷载视为移动和随机点力。目的是获得环的动态响应，而无需考虑环和PGT的其余部分之间的相互作用。其次，将随机移动载荷下的环集成到整个PGT的动力学模型中。载体，太阳和行星是在此步骤中建模的，作为振动器，并通过弹簧（齿轮齿芯）结合环。使用这两个模型，可以彻底研究整个PGT的随机动力学。移动载荷除了齿轮动力学中的继承时间变化的刚度外，还带来了额外的时间变化参数。存在更复杂的共振（稳定性）。这是，在第三步中，将系统地研究系统在两种类型的时变参数下的稳定性。短期目标是找到解决方案以提高风力涡轮机变速箱的可靠性和预期寿命。从长远来看，该研究计划的结果不仅旨在使风能行业受益，而且还受益于其他相关领域，因为受到移动负载的类似环形结构被广泛用于汽车，直升机，电动机和发电机等。此外，还通过非线性和随机振动理论培训的HQP将是一个有价值的HQP，这将是有价值的资产为Canad Iancity Canad Indersics和Canad Canmity and Academics和Canemics。