Analysis of the Housing Vibration of a Rotorcraft Planetary Gear Using a Finite Element/Contact Mechanics Model

Author(s):  
Christopher G. Cooley ◽  
Adrian A. Hood

This study investigates the planetary gear housing vibration for rotorcraft systems with equally spaced and diametrically opposed planets using a finite element/contact mechanics model. This approach permits accurate housing deflection calculations at each time instant that result from the changing contact conditions on all gear teeth and elastic deformations of each gear. Planetary gears with diametrically opposed planets have larger amplitude vibrations and more frequency content than those with equally spaced planets. Parametric studies show that although the frequency content does not change with changes in the system’s parameters, the amplitudes of response at these frequencies are meaningfully impacted. The frequency components of the acceleration spectra can have additional content when the planetary gear has manufacturing and assembly errors. Each error case results in different frequency content in the acceleration spectra. Understanding these housing vibrations is beneficial for interpreting measured accelerometer signals to detect and classify damage.

Author(s):  
Xiang Dai ◽  
Christopher G. Cooley ◽  
Robert G. Parker

Spur gear tooth root strains are calculated using a finite element/contact mechanics formulation for varying gear speeds and applied torques. Extensive comparisons with experiments, including those from the literature and new ones, confirm that the finite element/contact mechanics formulation accurately predicts the quasi-static and dynamic tooth root strains. The finite element/contact mechanics model is used to investigate the features of the tooth root strain curves as the gears rotate kinematically and the tooth contact conditions change. Tooth profile modifications are shown to strongly affect the shape of the strain curve. At non-resonant speeds the dynamic tooth root strain curves have similar shapes as the quasi-static strain curves. At resonant speeds, however, the dynamic tooth root strain curves are drastically different because large amplitude vibration causes tooth contact loss.


2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Liu Hong ◽  
Yongzhi Qu ◽  
Yuegang Tan ◽  
Mingyao Liu ◽  
Zude Zhou

The application of conventional vibration based diagnostic techniques to planetary gearboxes is a challenge because of the complexity of frequency components in the measured spectrum, which is the result of relative motions between the rotary planets and the fixed accelerometer. In practice, since the fault signatures are usually contaminated by noises and vibrations from other mechanical components of gearboxes, the diagnostic efficacy may further deteriorate. Thus, it is essential to develop a novel vibration based scheme to diagnose gear failures for planetary gearboxes. Following a brief literature review, the paper begins with the introduction of an analytical model of planetary gear-sets developed by the authors in previous works, which can predict the distinct behaviors of fault introduced sidebands. This analytical model is easy to implement because the only prerequisite information is the basic geometry of the planetary gear-set. Afterwards, an automated diagnostic scheme is proposed to cope with the challenges associated with the characteristic configuration of planetary gearboxes. The proposed vibration based scheme integrates the analytical model, a denoising algorithm, and frequency domain indicators into one synergistic system for the detection and identification of damaged gear teeth in planetary gearboxes. Its performance is validated with the dynamic simulations and the experimental data from a planetary gearbox test rig.


2015 ◽  
Vol 784 ◽  
pp. 369-376 ◽  
Author(s):  
Manoj Kumar ◽  
P.M. Dixit

A Continuum Damage Mechanics model, that incorporates a crack closure parameter and a cut-off on negative triaxiality, is employed to simulate the damage growth in upsetting problem using the finite element package ABAQUS. Parametric studies are carried out to find the effect of the crack closure parameter and the cut-off. It is shown that the correct location of the maximum damage in upsetting problem (i.e., the location reported in the experimental literature) is predicted only if these parameters are incorporated.


2021 ◽  
Author(s):  
Chao Xun ◽  
He Dai

Abstract A stick-slip dynamic model of a two-gear set is proposed. In this model, time-varying mesh stiffness, tooth separation, friction between the gear teeth surfaces and potential stick-slip are considered. Considering the contributions of the vibration velocity to the gear teeth sliding velocity, transition conditions between the stick state and slip state are revealed. Dynamic analysis shows that, when stick appears, the vibration amplitudes are dramatically increased, and tooth separation occurs. Additionally, stick also induces half-frequency components of the mesh frequency and causes chaos. Parametric studies show that heavy loads and rough tooth surfaces increase the probability of stick and increase the time of the stick state over a single mesh period. However, due to the complex nonlinearity, the existence of a certain relationship between the gear rotation speed and the stick time is not confirmed.


Author(s):  
Phillip E. Prueter ◽  
Robert G. Parker ◽  
Frank Cunliffe

Wind energy has received a great deal of attention in recent years in part due to its minimal environmental impact and improving efficiency. Increasingly complex wind turbine gear train designs, well-known failures in gear train rolling element bearings, and the constant push to manufacture more reliable, longer lasting systems generate the need for more advanced analysis techniques. The objectives of this paper are to examine the mechanical design of an Orbital2 flexible pin multi-stage planetary wind turbine gear train using a three dimensional finite element/contact mechanics model and to compare to full system experiments. Root strain is calculated at multiple locations across the facewidth of ring gears from the computational model and compared to experimental data. Gear misalignment and carrier eccentricity are also considered. Design recommendations for improving load distribution across gear facewidths are also discussed.


2011 ◽  
Vol 314-316 ◽  
pp. 1218-1221
Author(s):  
Hao Min Huang

Conventional methods of design to be completed ordinary hydraulic transmission gear gearbox design, but for such a non-planet-rule entity, and the deformation of the planet-gear contact stress will have a great impact on the planet gear, it will be very difficult According to conventional design. In this paper, ANSYS software to the situation finite element analysis, the planetary gear to simulate modeling study.


2021 ◽  
Vol 11 (13) ◽  
pp. 6094
Author(s):  
Hubdar Hussain ◽  
Xiangyu Gao ◽  
Anqi Shi

In this study, detailed finite element analysis was conducted to examine the seismic performance of square and circular hollow steel braces under axial cyclic loading. Finite element models of braces were constructed using ABAQUS finite element analysis (FEA) software and validated with experimental results from previous papers to expand the specimen’s matrix. The influences of cross-section shape, slenderness ratio, and width/diameter-to-thickness ratio on hysteretic behavior and compressive-tensile strength degradation were studied. Simulation results of parametric studies show that both square and circular hollow braces have a better cyclic performance with smaller slenderness and width/diameter-to-thickness ratios, and their compressive-tensile resistances ratio significantly decreases from cycle to cycle after the occurrence of the global buckling of braces.


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