Application of Face-Gear Drives in Helicopter Transmissions

Litvin, Faydor L.; Wang, J.-C.; Bossler, R. B.; Chen, Y.-J. D.; Heath, Gregory F.; Lewicki, David G.

doi:10.1115/1.2919434

Cited by 101 publications

(42 citation statements)

References 1 publication

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“…M Guingand et al 5 have done the contact analysis on the tooth surface, and the analysis of bending stress and the general test methods of bending stress were presented. FL Litvin et al [6][7][8][9] studied the application and basic theories of face gear such as the modeling and modification of tooth surface, tooth contact analysis, and the analysis of contact stress. Also, the tooth contact analyses of the orthogonal offset face-gear drive have been investigated.…”

Section: Introductionmentioning

confidence: 99%

Loaded tooth contact analysis of curve-face gear pair

Lin

et al. 2017

Advances in Mechanical Engineering

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As a new gear pair with variable transmission ratio, curve-face gear can be applied to percussion drill to simplify the structure. For the application of curve-face gear pair, the loaded tooth contact analysis of curve-face gear pair should be taken into consideration. According to the gear meshing theory, the mathematical equations for the tooth surface of non-circular gear and curve-face gear were derived, and the meshing equations of this gear pair were also derived. Based on the method of the principal curvatures of space curve face, the variations in principal curvatures of non-circular gear and curve-face gear were proposed separately. With the mathematical method of Boussinesq problems, the loaded tooth contact analysis of curve-face gear pair was presented. The semi-major axis and semi-minor axis of contact ellipse on the surface of curve-face gear were proposed and simulated, and the maximum contact stress on contact area and its trend with the change in meshing situation were investigated, and the principles in the half cycle were also investigated. The tooth contact paths and the calculation method for the loaded tooth contact analysis of curve-face gear pair were verified by the rolling experiment.

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Section: Introductionmentioning

confidence: 99%

Loaded tooth contact analysis of curve-face gear pair

Lin

et al. 2017

Advances in Mechanical Engineering

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“…It can be used in engineering machinery, agricultural machinery, textile machinery and high-powered spacecraft, etc. [2], and will be developed towards high speeds and heavy loads [3]. Therefore, the research on the dynamic characteristics of curve-face gear has increasingly become prominent.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Model and Analysis of Nonlinear Vibration Characteristic of a Curve-Face Gear Drive

Cai

Lin

2017

SV-JME

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As a new type of face gear, curve-face gear combines the common characteristics of non-cylindrical gear, bevel gear, and face gear [1]. It can be used in engineering machinery, agricultural machinery, textile machinery and high-powered spacecraft, etc.[2], and will be developed towards high speeds and heavy loads [3]. Therefore, the research on the dynamic characteristics of curve-face gear has increasingly become prominent.The research of the nonlinear vibration characteristics of gears mainly focuses on the bevel gear, spur gear, face gear and planetary gear drive; the analytical approach of the system generally uses finite element method (FEM), and the Runge-Kutta method is applied to solve the differential equations of the system. For the simulation and vibration-based condition monitoring of a geared system, a system with an appropriate number of degrees of freedom (DOFs) was modelled [4]. An investigation of the performance of statistical fault detection indicators for three different series of crack propagation scenarios was presented [5]. From the vibration signal, the numbers of teeth on all gears, the calculation of tooth mesh frequencies and rotational speeds of all shafts were determined [6]. The dynamic behaviour of a single-stage spur gear reducer in a transient regime was studied [7]. However, for the rotary system with mass eccentricity, the Lagrange equation with generalized coordinates expression is over FEM, as it only relates to the kinetic energy and the potential energy of the system. Therefore, for the mechanical system composed of particles and rigid bodies, the system equation can be obtained quickly by using the Lagrange equation. However, due to the differential calculation of Lagrange function L, its simulation process is complex. To overcome the disadvantage of this modelling method, a new modelling method combined Lagrange equation and bond-graph is proposed. When the generalized coordinates, the parameter equation, the force input, and the velocity conversion matrix are determined, the mathematical simulation of the system can be obtained. Compared with the classical method, the modelling process of the Lagrange bond-graph is more regular, and the solving process is more efficient [8].Recently, few studies were available for the curve-face gear drive. Due to the time-varying characteristics of non-circular gears, the vibration response of this type of gear is much complex than that of normal gears. For general gears, the excitations of the vibration response are mainly time-varying mesh stiffness, tooth transmission error, and meshing impact, etc. The dynamic model of a spur gear pair, considering the backlash, time-varying stiffness, Dynamic Model and Analysis of Nonlinear VibrationCharacteristic of a Curve-Face Gear Drive

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“…The transmission has found application in helicopter transmissions [1] and other important aviation transmission device widely. Some domestic and foreign experts [2][3][4][5][6] have done the related research work in the principle of gear engagement, tooth surface contact strength, tooth root bending strength, tooth profile machining and profile modification.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration Analysis of Helical Face-Gear Transmission System with Multi-Factor

et al. 2016

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Abstract.A systematic analysis of the dynamics of a helical face-gear system with 8 degree of freedom is performed in this study under complex excitation. The nonlinear dynamic system is solved by the Runge-Kutta method. The bifurcation and dynamic load characteristics of the system is identified from a series of diagrams. The effect of multi-factor on bifurcation diagrams is also analysed. The results real that with the increase of dimensionless frequency, the system undergoes the process of periodic, chaotic and periodic motions. The amplitude of the dynamic load gradually increases in a certain range and begins to decrease at a certain value. A higher mesh damping coefficient or a higher input torque or a lower gear backlash can reduce the vibration or eliminate chaotic responses.

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Application of Face-Gear Drives in Helicopter Transmissions

Cited by 101 publications

References 1 publication

Loaded tooth contact analysis of curve-face gear pair

Loaded tooth contact analysis of curve-face gear pair

Dynamic Model and Analysis of Nonlinear Vibration Characteristic of a Curve-Face Gear Drive

Nonlinear Vibration Analysis of Helical Face-Gear Transmission System with Multi-Factor

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