Modal properties of a two-stage planetary gear system with sliding friction and elastic continuum ring gear

2019 ◽  
Vol 135 ◽  
pp. 251-270 ◽  
Author(s):  
Wei Liu ◽  
Zhijun Shuai ◽  
Yibin Guo ◽  
Donghua Wang
Keyword(s):  
Sliding Friction ◽  
Planetary Gear ◽  
Gear System ◽  
Ring Gear ◽  
Two Stage ◽  
Elastic Continuum ◽  
Modal Properties ◽  
Planetary Gear System

Torsional Vibrations and Dynamic Loads in a Basic Planetary Gear System

1986 ◽  
Vol 108 (3) ◽  
pp. 348-353 ◽  
Author(s):  
R. August ◽  
R. Kasuba
Keyword(s):  
Dynamic Model ◽  
Degrees Of Freedom ◽  
Planetary Gear ◽  
Gear System ◽  
Dynamic Loads ◽  
Ring Gear ◽  
Gear Mesh ◽  
Input And Output ◽  
Planetary Gear System ◽  
Three Degrees Of Freedom

An interative method has been developed for analyzing dynamic loads in a light weight basic planetary gear system. The effects of fixed, semi-floating, and fully-floating sun gear conditions have been emphasized. The load dependent variable gear mesh stiffnesses were incorporated into a practical torsional dynamic model of a planetary gear system. The dynamic model consists of input and output units, shafts, and a planetary train. In this model, the sun gear has three degrees of freedom; two transverse and one rotational. The planets, ring gear, and the input and output units have one degree of freedom, (rotation) thus giving a total of nine degrees of freedoms for the basic system. The ring gear has a continuous radial support. The results indicate that the fixed sun gear arrangement with accurate or errorless gearing offers in general better performance than the floating sun gear system.

scholarly journals Effect of the radial support stiffness of the ring gear on the vibrations for a planetary gear system

2019 ◽  
Vol 39 (4) ◽  
pp. 1024-1038 ◽  
Author(s):  
Hongwu Li ◽  
Jing Liu ◽  
Jinlei Ma ◽  
Yimin Shao
Keyword(s):  
Dynamic Model ◽  
Planetary Gear ◽  
Peak Frequency ◽  
Gear System ◽  
Ring Gear ◽  
Planetary Gear System ◽  
Critical Components ◽  
The Time Domain ◽  
Multi Body ◽  
Body Dynamic

Planter gear system is one of the critical components of various industrial transmission systems. In general, the ring gear is elastically fixed with the gearbox. The gearbox materials and their assembly relationships will affect the support stiffness of the ring gear and system vibrations. In this paper, a multi-body dynamic model for a planetary gear system with the elastic support of ring gear is developed to discuss the influence of the radial support stiffness of ring gear on the system vibrations. The planet bearings are also considered in the multi-body dynamic model. The rotational speed of the planet gear and carrier from the simulation and theoretical results are compared to validate the developed multi-body dynamic model. The influences of the radial support stiffness of the ring gear, carrier moment, and sun gear speed on the time- and frequency-domain vibrations of the planetary gear system are analyzed. The results denote that the waveform and amplitude of the time-domain vibration of the ring gear are greatly affected by the radial support stiffness of ring gear as well as the peak frequency amplitude and its sidebands. The peak frequency in the spectrum of ring gear is slightly affected by the radial support stiffness. It indicates that this study can give some guidance for the vibration control approaches for the planetary gear systems.

An analyzing method of coupled modes in multi-stage planetary gear system

2014 ◽  
Vol 15 (11) ◽  
pp. 2357-2366 ◽  
Author(s):  
Wei Sun ◽  
Xin Ding ◽  
Jing Wei ◽  
Xinglong Hu ◽  
Qingguo Wang
Keyword(s):  
Planetary Gear ◽  
Gear System ◽  
Coupled Modes ◽  
Multi Stage ◽  
Planetary Gear System

Analysis of nonlinear dynamic characteristic of a planetary gear system considering tooth surface friction

2021 ◽  
pp. 135065012199174
Author(s):  
Jingyue Wang ◽  
Ning Liu ◽  
Haotian Wang ◽  
Jiaqiang E
Keyword(s):  
Damping Ratio ◽  
Excitation Frequency ◽  
Planetary Gear ◽  
Gear System ◽  
Tooth Surface ◽  
Lumped Mass ◽  
Heavy Load ◽  
Light Load ◽  
Planetary Gear System ◽  
Bifurcation Behavior

Based on the lumped mass method, a torsional vibration model of the planetary gear system is established considering the nonlinear factors such as friction, time-varying meshing stiffness, backlash, and comprehensive error. The Runge–Kutta numerical method is used to analyze the motion characteristics of the system with various parameters and the influence of tooth friction on the bifurcation and chaos characteristics of the system. The numerical simulation results show that the system has rich bifurcation behavior with the excitation frequency, damping ratio, comprehensive error amplitude, load and backlash, and experiences multiple periodic motion and chaotic motion. Tooth friction makes the bifurcation behavior of the system fuzzy in the high frequency and heavy load areas, makes the chaos of the system restrained in the low-damping ratio and light load areas, advances the bifurcation point of the system in the small comprehensive error amplitude area, and makes the period window of the chaos area larger in the large-backlash area, which makes the bifurcation behavior of the system more complex.

Free Vibration Analysis of Two-Stage Planetary Gear With Friction

2018 ◽  
Author(s):  
Wei Liu ◽  
Yunbo Yuan ◽  
Tao He ◽  
Donghua Wang
Keyword(s):  
Free Vibration ◽  
Degrees Of Freedom ◽  
Sliding Friction ◽  
Free Vibration Analysis ◽  
Planetary Gear ◽  
Two Stage ◽  
Second Stage ◽  
Torsional Coupling ◽  
Coupling Dynamic ◽  
First Time

Considering the effect of teeth surface sliding friction, free vibration of two-stage planetary gears (TPG) is studied theoretically for the first time. The lateral-torsional coupling dynamic model and equation are established with three degrees of freedom: two translations and one rotation. The change rule of natural frequency is discussed with the case of first stage planetary gear’s number 4 and second stage planetary gear’s number 3, 4 and 5. Afterwards three vibration modes are summarized by calculating the free vibration. In order to understand the behavior of friction, the effect of friction on natural frequencies is analyzed for the case of considering friction and not considering friction. Furthermore, the ‘self-coupling’ phenomenon is obtained from the vibration of center component of TPG Meanwhile, the ‘mutual coupling’ is obtained between the first-stage planetary gear (FPG) and the second-stage planetary gear (SPG).

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