Modeling and Dynamic Characteristics of Planetary Gear Transmission in Non-Inertial System of Aerospace Environment

2019 ◽  
Author(s):  
Jing Wei ◽  
Lei Shi ◽  
Aiqiang Zhang ◽  
Datong Qin
Keyword(s):  
Dynamic Behavior ◽  
Dynamic Characteristics ◽  
Planetary Gear ◽  
Transmission System ◽  
Gear Transmission ◽  
Inertial System ◽  
Inertia Force ◽  
Central Component ◽  
Spatial Motion ◽  
Gear Transmission System

Abstract The traditional research on the dynamics of planetary gear transmission system is based on the assumption that the support is on the ground. However, the planetary gear transmission system inside the aircraft is spatially moved along with the airframe, which is not only subject to gravity, but also to convected inertia force and Coriolis inertia force, as well as gyroscopic moment. These loads affect the dynamic characteristics of the planetary gear transmission system. In order to investigate the dynamic behavior of planetary gear transmission system in non-inertial system of aerospace environment, the kinematic equations of the central component and planetary gear in arbitrary spatial motion state of the airframe are deduced with the influence of internal non-inertial system and external non-inertial system. Subsequently, the coupling dynamic model of planetary gear transmission system is established, which is in non-inertial system of aerospace environment. The motion variation law of planetary gear transmission system in the non-inertial system and the dynamic behavior of each component in different non-inertial conditions are researched based on the hovering motion of the airframe. The results indicate that the radial equilibrium position of the planetary gear has great offset due to the influence of non-inertial system inside the planetary gear train when the airframe has no spatial motion. Moreover, the gravity on each component will generate radial force, which and additional inertial force will vary with the external non-inertia conditions when the airframe is in the state of spatial motion. In addition, different non-inertial conditions have significant influence on the motion trajectory, bearing force and acceleration of each component, and have different influence rules on the central component and planetary gear.

Modeling and Dynamic Characteristics of Planetary Gear Transmission in Non-inertial System of Aerospace Environment

2019 ◽  
Vol 142 (3) ◽  
Author(s):  
Jing Wei ◽  
Aiqiang Zhang ◽  
Lei Shi ◽  
Datong Qin ◽  
Teik C. Lim
Keyword(s):  
Dynamic Behavior ◽  
Dynamic Characteristics ◽  
Planetary Gear ◽  
Gear Transmission ◽  
Dynamic Responses ◽  
Inertial System ◽  
Dominant Factor ◽  
Central Component ◽  
Traditional Research ◽  
Planet Gear

Abstract The traditional research on the dynamics of planetary gear transmission (PGT) is based on the assumption that the support is on the ground. However, the PGT inside the aircraft is spatially moved along with the airframe, which is not only subject to gravity, but also to additional inertia forces. These loads should affect the dynamic characteristics of the PGT. The PGT itself is a non-inertial system (NIS) and is called the internal non-inertial system (INIS). By contrast, an airframe in the aerospace environment is named an external non-inertial system (ENIS). In order to investigate the dynamic behavior of the PGT in a compound NIS, the kinematic equations of various components in arbitrary spatial motion state of the airframe are deduced. Subsequently, the coupled dynamics model of PGT in NIS is improved. The dynamic responses of PGT in different non-inertial conditions are compared based on the hovering motion of the airframe. The results indicate that INIS is the main factor affecting the trajectory of planet gear, while ENIS is the force source changing the trajectory of the central component. The aircraft’s hovering motion makes the gravity effect become a relatively time-varying excitation, but the dominant factor is still the additional inertial forces. The non-inertial effect during aerospace operation can significantly affect the bearing force, vibration and load sharing performance. It will lead to serious errors if the traditional research method is still used to obtain the dynamic behavior of PGT in the aerospace environment.

scholarly journals Dynamic Characteristics and Load Sharing of Herringbone Wind Power Gearbox

2018 ◽  
Vol 2018 ◽  
pp. 1-24 ◽  
Author(s):  
Shuai Mo ◽  
Ting Zhang ◽  
Guoguang Jin ◽  
Zhanyong Feng ◽  
Jiabei Gong ◽  
...  
Keyword(s):  
Dynamic Characteristics ◽  
Planetary Gear ◽  
Load Sharing ◽  
Transmission System ◽  
Gear Transmission ◽  
Torsional Stiffness ◽  
Gear Transmission System ◽  
Herringbone Gear ◽  
Stagger Angle ◽  
The Impact

In this study, the dynamic model for the herringbone planetary gear transmission system is established by the lumped parameter method based on the system dynamics and the Lagrange equation, and the impact of the support stiffness and the torsional stiffness on dynamic characteristics is studied. The research results have a guiding significance for the design of the herringbone gear transmission system. In this model, the herringbone gear is treated as a special gear coupled by 2 opposite helical gears, where the stagger angle, comprehensive meshing error, support stiffness, support damping, and load inertia are considered in the analysis of dynamics. Moreover, the dynamic characteristic of the carrier is considered as well. By calculating the meshing force curve of the transmission system, the impact of the stagger angle, supporting stiffness, and the torsional stiffness on meshing force and load sharing coefficient is analyzed. The results show that the stagger angle has an obvious impact on load sharing coefficient while it has little impact on maximum meshing force. And the support stiffness has a more obvious impact on the dynamic characteristics of the system. The recommendary support stiffness of the system is that all of the support stiffness of the sun gear, planetary gear, ring gear, and carrier is 107 N/m. The torsional stiffness has little impact on the dynamic characteristics of transmission system, except the torsional stiffness of planetary gear, and carrier has an obvious impact on load sharing coefficient. The commercial software ADAMS carried out dynamics analysis of the transmission system to verify the necessity validity of the theoretical analysis.

Effects of Gear Manufacturing Error on the Dynamic Characteristics of Planetary Gear Transmission System of Wind Turbine

2011 ◽  
Vol 86 ◽  
pp. 518-522 ◽  
Author(s):  
Hui Tao Chen ◽  
Xiao Ling Wu ◽  
Da Tong Qin ◽  
Jun Yang ◽  
Zhi Gang Zhou
Keyword(s):  
Wind Turbine ◽  
Dynamic Characteristics ◽  
Planetary Gear ◽  
Transmission System ◽  
Gear Transmission ◽  
Statistical Characteristics ◽  
Direct Drive ◽  
Manufacturing Error ◽  
Gear Transmission System ◽  
Gear Manufacturing

The effects of gear manufacturing error on the dynamic characteristics of planetary gear transmission system of wind turbine are studied in this paper. Firstly, the static transmission error combined with manufacturing error of the gear is deduced. Then, the nonlinear dynamic model of planetary gear transmission system of wind turbine is set up with the consideration of time-varying mesh stiffness, backlash and manufacturing error. Finally, the statistical characteristics of Vibration displacement response process of each component of planetary gear transmission system are obtained by simulation analysis of the planetary gear system of 1.5MW Semi-direct drive wind turbine with the consideration of the torque fluctuation caused by wind speed. The research results lay a foundation for reliability design and optimizing of gear transmission system of wind turbine.

scholarly journals Dynamic characteristics analysis of planetary gear system with internal and external excitation under turbulent wind load

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110356
Author(s):  
Hexu Yang ◽  
Xiaopeng Li ◽  
Jinchi Xu ◽  
Zemin Yang ◽  
Renzhen Chen
Keyword(s):  
Wind Speed ◽  
Wind Turbine ◽  
Nonlinear Dynamic ◽  
Planetary Gear ◽  
Wind Load ◽  
Transmission System ◽  
Gear Transmission ◽  
Stiffness Ratio ◽  
Gear Transmission System ◽  
Planetary Gear System

According to the working characteristics of a 1.5 MW wind turbine planetary gear system under complex and random wind load, a two-parameter Weibull distribution model is used to describe the distribution of random wind speed, and the time-varying load caused by random wind speed is obtained. The nonlinear dynamic model of planetary gear transmission system is established by using the lumped parameter method, and the relative relations among various components are derived by using Lagrange method. Then, the relative relationship between the components is solved by Runge Kutta method. Considering the influence of random load and stiffness ratio on the planetary gear transmission system, the nonlinear dynamic response of cyclic load and random wind load on the transmission system is analyzed. The analysis results show that the variation of the stiffness ratio makes the planetary gear have abundant nonlinear dynamics behavior and the planetary gear can get rid of chaos and enter into stable periodic motion by changing the stiffness ratio properly on the premise of ensuring transmission efficiency. For the variable pitch wind turbine, the random change of external load increases the instability of the system.

Dynamic Simulation Analysis of Asymmetric Involute Gear Drive System

2012 ◽  
Vol 215-216 ◽  
pp. 974-977 ◽  
Author(s):  
Li Ming Lian ◽  
Gui Min Liu
Keyword(s):  
Dynamic Simulation ◽  
Dynamic Characteristics ◽  
Simulation Analysis ◽  
Dynamic Performance ◽  
Transmission System ◽  
Drive System ◽  
Gear Transmission ◽  
Gear Drive ◽  
Involute Gear ◽  
Gear Transmission System

The dynamic performance of asymmetric involute gear transmission system is analyzed by the MSC.ADAMS software during the paper. By comparative analyzed with the traditional dynamic characteristics of symmetrical involute straight gear transmission, it can be summarized that the asymmetric involute gear transmission system has better vibration characteristics in the course of transmission.

Analysis of dynamic characteristics of a multi-stage gear transmission system

2019 ◽  
Vol 25 (10) ◽  
pp. 1653-1662 ◽  
Author(s):  
Wei Li ◽  
Jingdong Sun ◽  
Jiapeng Yu
Keyword(s):  
Dynamic Characteristics ◽  
Noise Control ◽  
Nonlinear Behavior ◽  
Transmission System ◽  
Gear Transmission ◽  
Transmission Systems ◽  
Multi Stage ◽  
Gear Transmission System ◽  
Characteristics Analysis ◽  
Dynamic Characteristics Analysis

The two-parallel shaft gear transmission system is the most widely used system among the multi-stage gear transmission systems. The dynamic characteristics analysis of the two-parallel shaft gear transmission system is of great significance for nonlinear behavior research and noise control of gear transmission systems. This paper establishes a dynamic model and equations for the two-parallel shaft gear transmission system. According to the solution to the dynamic equations, the effects are studied of parameters such as speed, damping, modulus, and precision on the dynamic characteristics of the system. The results provide the basis for reducing vibration and noise control in multi-stage gear transmission systems.

The Gap Nonlinear Characteristics of Gear Transmission System under External Excitation

2012 ◽  
Vol 215-216 ◽  
pp. 1067-1070
Author(s):  
Kang Huang ◽  
Jue Li ◽  
Xin Jin ◽  
Qi Chen
Keyword(s):  
Dynamic Characteristics ◽  
Nonlinear Dynamic ◽  
Degrees Of Freedom ◽  
Transmission System ◽  
Gear Transmission ◽  
Engineering Practice ◽  
Nonlinear Dynamic Model ◽  
Gear Transmission System ◽  
Nonlinear Dynamic Characteristics ◽  
Domain Of Parameters

For the study of nonlinear dynamic characteristics of a pair of gears in an external torque under gear meshing error excitation, we will establish two degrees of freedom nonlinear torsional vibration model. The use of Matlab / Simulink for numerical simulation solves the nonlinear dynamic model of the gear gap. Study the dynamic characteristics of the system in a certain domain of parameters on external incentive conditions, as well as external motivation of gear transmission system dynamic characteristics influence. The results have important practical value for future engineering practice on gear transmission system's dynamic design, and have important theoretical significance for complex gear transmission system dynamics study.

scholarly journals Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Qilin Huang ◽  
Yong Wang ◽  
Zhipu Huo ◽  
Yudong Xie
Keyword(s):  
Differential Equations ◽  
Closed Form ◽  
Dynamic Model ◽  
Total Mass ◽  
Nonlinear Differential Equations ◽  
Equations Of Motion ◽  
Planetary Gear ◽  
Transmission System ◽  
Gear Transmission ◽  
Gear Transmission System

A nonlinear purely rotational dynamic model of a multistage closed-form planetary gear set formed by two simple planetary stages is proposed in this study. The model includes time-varying mesh stiffness, excitation fluctuation and gear backlash nonlinearities. The nonlinear differential equations of motion are solved numerically using variable step-size Runge-Kutta. In order to obtain function expression of optimization objective, the nonlinear differential equations of motion are solved analytically using harmonic balance method (HBM). Based on the analytical solution of dynamic equations, the optimization mathematical model which aims at minimizing the vibration displacement of the low-speed carrier and the total mass of the gear transmission system is established. The optimization toolbox in MATLAB program is adopted to obtain the optimal solution. A case is studied to demonstrate the effectiveness of the dynamic model and the optimization method. The results show that the dynamic properties of the closed-form planetary gear transmission system have been improved and the total mass of the gear set has been decreased significantly.

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