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

Huang, Qilin; Yong, Wang; Huo, Zhipu; Xie, Yudong

doi:10.1155/2013/149046

Cited by 9 publications

(8 citation statements)

References 7 publications

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“…In [16], a nonlinear dynamic model of the two-stage planetary mechanism was proposed and investigated, based on the analytical solution to dynamic equations in the MATLAB software, but the authors failed to consider the losses expressed by performance efficiency.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Determining performance efficiency of the differential in a device for speed change through epicycle

Малащенко

Strilets

2017

EEJET

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Визначений коефіцієнт корисної дії диференціалів, коли ведучою ланкою є сонячне колесо першої ступені, веденою -водило останньої, а ланками керування є епіцикли окремих ступеней. Отримані результати мають практичне застосу-вання при проектуванні нових пристроїв керування швидкістю, дозволяють оці-нити роботу диференціалів з огляду на енерговитрати і самогальмування та є підґрунтям для подальших досліджень Ключові слова: коефіцієнт корисної дії, зубчастий диференціал, зміна швид-кості, сателіт, епіцикл Определен коэффициент полезного действия дифференциалов, когда веду-щим звеном является солнечное коле-со первой ступени, ведомым -водило последней, а звеньями управления -эпи-циклы отдельных ступеней. Полученные результаты имеют практическое при-менение при проектировании новых устройств управления скоростью, позво-ляют оценить работу дифференциалов с точки зрения самоторможения и явля-ются подспорьем для дальнейших иссле-дований Ключевые слова: коэффициент полез-ного действия, зубчатый дифференциал, изменение скорости, сателлит, эпицикл UDC 621.833.65

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

Determining performance efficiency of the differential in a device for speed change through epicycle

Малащенко

Strilets

2017

EEJET

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“…This method can guide the design of the planetary gear system with high reliability and low vibration. Huang et al [ 5 ] proposed a nonlinear pure rotational dynamics model for a multistage closed planetary gear set consisting of two simple planetary stars. Gui et al [ 6 ] developed a centralized parameter model for a typical planetary gear system with different error types.…”

Section: Introductionmentioning

confidence: 99%

Study on nonlinear dynamic characteristics of a two-speed transmission system at low speed

Zhihui,

Zhang,

Zhang

et al. 2024

PLoS ONE

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A pure shear mechanical model of low gear of six-degree-of-freedom two-speed transmission system is established by using lumped parameter method. The Runge-Kutta method is used to numerically solve the aforementioned nonlinear system. The variation of transmission error between gears is analyzed by using global bifurcation, time domain diagram, phase diagram and Poincare cross section. Moreover, the transfer error bifurcation characteristics of the solar wheel and the first planetary wheel under different gear moduli are investigated. The results show that: by taking the excitation frequency as the control parameter, the system includes period-1 motion, period-2 motion, quasi-periodic motion, multiperiodic motion, and chaotic motion. With the increase of gear modulus, the system mainly presents chaotic motion in the medium frequency range (0.5<ωh≤2). It shows stable period-1 motion in the high frequency range (2<ωh≤3), and the higher the modulus, the wider the high frequency range of period-1 motion. The research results can provide reference for the design and optimization of this kind of two-speed transmission system in the future.

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“…M. Hamed [8] presented a mathematical model, where the dynamic transmission error was used to analyze the influence of nonlinear oscillations of spur gear pairs with backlash on planetary gear pairs. Q. L. Huang [9] built an optimized mathematical model of a gear transmission system on the basis of a nonlinear purely rotational dynamic model of a multistage closed-form planetary gear, aiming at minimizing the vibration displacement of the low-speed carrier. A lumped parameter nonlinear torsional vibration model of a single-stage planetary set is proposed by Shyyab and Kahraman [10].…”

Section: Introductionmentioning

confidence: 99%

“…Huang et al. 9 built an optimized mathematical model of a gear transmission system on the basis of a nonlinear purely rotational dynamic model of a multistage closed-form planetary gear, aiming at minimizing the vibration displacement of the low-speed carrier. A lumped parameter nonlinear torsional vibration model of a single-stage planetary set is proposed by Al-Shyyab and Kahraman.…”

Section: Introductionmentioning

confidence: 99%

Dynamic and tribological study of a planetary gearbox with local nonlinearities

Salagianni

Nikolakopoulos

Theodossiades

2017

Proceedings of the Institution of Mechanical Engineers, Part K:

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Citation: SALAGIANNI, K., NIKOLAKOPOULOS, P. and THEODOSSI-ADES, S., 2017. Dynamic and tribological study of a planetary gearbox with local nonlinearities.Proceedings of the Institution of Mechanical Engineers.Part K, Journal of Multi-body Dynamics, 231 (3), pp.504-518.Additional Information:• SALAGIANNI, K., NIKOLAKOPOULOS, P. and THEODOSSIADES, implemented and modal analysis is performed in order to predict the coupled mechanism of tribological and dynamic behavior, subjected to backlash and excited at the gear meshing frequency. The software used for the simulations is ADAMS MSc (Student Edition), where the model variables (concerning gear geometry and forcing functions) have been added in a parametric way. The results showed that small variations of the Dynamic Transmission Error (DTE) affect notably the viscous friction through changing the contact load between the engaged teeth pairs. Also, higher values of the Stribeck oil parameter due to higher film thickness or lower surface roughness in the mixed lubrication regime lead to reduction of the boundary friction, whereas a reduction of the total generated friction occurs when increasing the angular velocity of the input gear body (due to higher film thickness and smaller asperity interactions). The above are leading to reduced power loss of the mechanism. Finally, a characterization of the system dynamics is presented using the calculated eigenvalues and eigenmodes of the corresponding linearised system. Potential interactions with the gear meshing frequency of the system are also examined.

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

Cited by 9 publications

References 7 publications

Determining performance efficiency of the differential in a device for speed change through epicycle

Determining performance efficiency of the differential in a device for speed change through epicycle

Study on nonlinear dynamic characteristics of a two-speed transmission system at low speed

Dynamic and tribological study of a planetary gearbox with local nonlinearities

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