Abstract
Conventional reliability models of planetary gear systems are mainly static. In this paper, dynamic reliability models and random lifetime models of planetary gear systems are developed with dynamic working mechanism considered. The load parameters, the geometric parameters, and the material parameters are taken as the inputs of the reliability models and the random lifetime models. Moreover, failure dependence and dynamic random load redistributions are taken into account in the models. Monte Carlo simulations are carried out to validate the proposed models. The results show that the randomness of the load distribution is obvious in the system working process. Failure dependence has significant influences on system reliability. Moreover, the dispersion of external load has great impacts on the reliability, lifetime distribution, and redundancy of planetary gear systems.
Highlights
Planetary gear systems are widely used in technological systems, such as helicopters, cars, spacecraft, mining machineries, and so on, which have the advantages of compact structures, high transmission efficiency, and large transmission ratio. e load can be evenly distributed on planet gears to achieve the purpose of torque shunting. e normal operations of planetary gear systems are quite important for the safety and economy of technological systems
Conventional lifetime models are constructed based on fatigue test under constant stress, which cannot be used in the situation of dynamic random stress
The lifetime distribution models of planetary gear systems are derived based on the proposed dynamic reliability models with the load parameters, the geometric parameters, and the material parameters taken as the inputs
Summary
Planetary gear systems are widely used in technological systems, such as helicopters, cars, spacecraft, mining machineries, and so on, which have the advantages of compact structures, high transmission efficiency, and large transmission ratio. e load can be evenly distributed on planet gears to achieve the purpose of torque shunting. e normal operations of planetary gear systems are quite important for the safety and economy of technological systems. It is imperative to develop reliability models of planetary gear systems based on their practical working mechanism, environmental loads, and material properties. Numerous dynamic models of planetary gear systems have been developed to analyze system motion characteristics. Many analytical dynamics models and dynamic simulation methods have been developed for dynamic analysis of planetary gears. Most of these models and methods are deterministic, which provide theoretical foundation for reliability analysis of planetary gears They cannot be applied directly in reliability analysis. We concentrate on constructing dynamic reliability models of planetary gear systems with their working mechanism taken into account by employing the existing dynamic simulation methods.
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