Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation

Singh, Avinash

doi:10.1016/j.mechmachtheory.2009.10.009

Cited by 116 publications

(110 citation statements)

References 15 publications

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“…Kahraman et al studied statics load sharing characteristic of the planetary transmission systems [1][2][3][4]; Singh established analysis model of the load sharing characteristic of the planetary transmission systems [5,6]; Wink and Sepra studied the method of tooth surface load distribution [7]; Bao et al studied the static load sharing characteristics of star gear and closed differential transmission systems [8,9]; Du et al studied the load sharing characteristics of the planetary transmission systems and dual power splitting systems [10,11]; and Mo et al researched the natural characteristics of double-helical star gearing system for GTF aeroengine and load sharing behavior of wind turbine gearbox [12][13][14][15]; Mantriota deals with the performance of power split transmissions in wind energy systems to identify the power split configurations that require the minimum rated power of the regulator system, to reduce costs and the power losses [16]. Zhu et al established a dynamic analysis model for 2-stage star gear train, where in the transmission error and the time-varying stiffness and backlash the nonlinear differential equations with multiple backlashes were considered and solved [17].…”

Section: Prefacementioning

confidence: 99%

Research on Multiple‐Split Load Sharing Characteristics of 2‐Stage External Meshing Star Gear System in Consideration of Displacement Compatibility

Jin

et al. 2017

Mathematical Problems in Engineering

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This paper studies the multiple-split load sharing mechanism of gears in two-stage external meshing planetary transmission system of aeroengine. According to the eccentric error, gear tooth thickness error, pitch error, installation error, and bearing manufacturing error, we performed the meshing error analysis of equivalent angles, respectively, and we also considered the floating meshing error caused by the variation of the meshing backlash, which is from the floating of all gears at the same time. Finally, we obtained the comprehensive angle meshing error of the two-stage meshing line, established a refined mathematical computational model of 2-stage external 3-split loading sharing coefficient in consideration of displacement compatibility, got the regular curves of the load sharing coefficient and load sharing characteristic curve of full floating multiple-split and multiple-stage system, and took the variation law of the floating track and the floating quantity of the center wheel. These provide a scientific theory to determine the load sharing coefficient, reasonable load distribution, and control tolerances in aviation design and manufacturing. PrefaceTwo-stage external meshing planetary transmission system is widely used in aviation and special precision transmission field. The T53-L-11 turbo-axis aircraft engine produced by Lycoming (US Company) used two-stage external meshing planetary transmission system as its reducer. Located in the engine head and installed in the intake box, reducer transports the motivation from free turbine shaft to the second sun gear after decreasing speed and increasing torque. Two-stage star gear transmission has multiple duplicate gears with fixedaxes to share the load, its star gears do not revolve, and its characteristics are power split, high transmission power, and only one-side load bearing, and so on. Two-stage star gear transmission uses two-stage star gears, without the ring gear, directly output by two external gears, so that it overcomes the alternating load of planet gear in traditional planetary gear transmission, the difficulty in processing of ring gear, the centrifugal force caused by the rotation of carrier, and intermittent lubrication of planet gear. The system strength, stiffness, and working life and reliability of transmission system have greatly improved by using two-stage fixed-axis external meshing gears. In this paper, a precise load sharing characteristic analysis model is established for all gears with angular displacement compatibility, including bearing manufacturing errors, gear manufacturing errors (eccentricity error, tooth thickness error, and pitch error), installation error, and the meshing error caused by the variation of the meshing backlash resulting from simultaneous floating of all the gears. Research results can be used for aircraft engine and other precision special transmission systems in load sharing coefficients determination, vibration noise reduction, structure optimization, and error precision control. This paper provides sci...

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Section: Prefacementioning

confidence: 99%

Research on Multiple‐Split Load Sharing Characteristics of 2‐Stage External Meshing Star Gear System in Consideration of Displacement Compatibility

Jin

et al. 2017

Mathematical Problems in Engineering

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“…If a planet has an error "e" on the position of its pin hole, and all other planets are at their ideal position, then the force due to this error is given by (Singh, 2010):…”

Section: Effect Of Planet Position Errormentioning

confidence: 99%

Load Sharing Behavior in Planetary Gear Set

Hammami

Santamaria

Rincón

et al. 2015

Applied Condition Monitoring

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Abstract. The objective of this paper is to study the effects of meshing phase between planets, the effects of the gravity of carrier and the planet position error on the load sharing behavior in planetary gear set. These effects will be studied numerically under the stationary condition and will be validated experimentally by a back-to-back planetary gear test bench. In this test bench, strain gauges are installed on each planet's pin hole in order to compare strains in the pinhole of each planet.

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“…According to Singh A. [7], planetary gears with a floating sun can achieve better load sharing than nonfloating systems at the presence of misalignment.…”

Section: -1-2 Misalignment Load Sharing and Edge Contactmentioning

confidence: 99%

“…Research by August and Kasuba [8] concludes that the nonfloating sun gear arrangement generally performs better than a floating sun gear for errorless gears. Their work and many other studies [7,10,11,51] evaluates the dynamic loads on gears without considering bearings.…”

Section: -5-planet-bearing Fatigue Damage Comparisonmentioning

confidence: 99%

Effects of floating sun gear in a wind turbine's planetary gearbox with geometrical imperfections

et al. 2014

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This paper addresses the effect of gear geometrical errors in wind turbine planetary gearboxes with a floating sun gear. Numerical simulations and experiments are employed throughout the study. A National Renewable Energy Laboratory 750-kW gearbox is modelled in a multibody environment and verified using the experimental data obtained from a dynamometer test. The gear geometrical errors, which are both assembly-dependent and assembly-independent, are described, and planet-pin misalignment and eccentricity are selected as the two most influential and key errors for case studies. Various load cases involving errors in the floating and nonfloating sun gear designs are simulated, and the planet-bearing reactions, gear vibrations, gear mesh loads and bearing fatigue lives are compared. All tests and simulations are performed at the rated wind speed.

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Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation

Cited by 116 publications

References 15 publications

Research on Multiple‐Split Load Sharing Characteristics of 2‐Stage External Meshing Star Gear System in Consideration of Displacement Compatibility

Research on Multiple‐Split Load Sharing Characteristics of 2‐Stage External Meshing Star Gear System in Consideration of Displacement Compatibility

Load Sharing Behavior in Planetary Gear Set

Effects of floating sun gear in a wind turbine's planetary gearbox with geometrical imperfections

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