Abstract
The closed differential planetary transmission system features a high speed-ratio, and a compact structure for transmitting power through a dual-path. Further, the power is usually shared unevenly among the planetary/star gears for manufacturing error. Furthermore, the dual-path causes power confluence aggravating uneven load distribution, and leading to transmission failure. In this regard, a widely used analysis method is adopting the maximum tolerance for critical parameters. However, manufacturing error are stochastic in engineering practice. Thus, this study investigates error randomness in dynamic load-sharing behavior. First, a stochastic multi-body dynamics model of a closed differential planetary transmission is established. Next, the sampled and stochastic distributions of the load-sharing behavior are obtained and compared with the Taguchi method. Then, the effect of manufacturing and assembling the tolerance zone on the load-sharing performance is investigated. Lastly, the experiment for the main gearbox of a MW wind turbine is used to verify the results determined using the stochastic errors. Notably, the method using the maximum errors overestimates the load-sharing coefficients by 92% for the differential stage, and by 100% for the closed stage.
Published Version
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