Computerized simulation of meshing of conventional helical involute gears and modification of geometry

Litvin, Faydor L.; Lu, Jian; Townsend, D. P.; Howkins, M.

doi:10.1016/s0094-114x(98)00013-5

Cited by 64 publications

(35 citation statements)

References 2 publications

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“…LTCA model is shown in Figure 4, where the two pairs of teeth which contacted each other at a specific moment in the meshing cycle are denoted by I and II [19][20][21][22]. As shown in Figure 4, the tooth surface curve is vertical along the relative principal direction in the normal plane.…”

Section: Time-varying Mesh Stiffness Based On Loaded Tooth Contact Anmentioning

confidence: 99%

Load-Sharing Characteristics of Power-Split Transmission System Based on Deformation Compatibility and Loaded Tooth Contact Analysis

Hao

Duan²,

Zhang

et al. 2015

International Journal of Aerospace Engineering

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In order to implement the uniform load distribution of the power-split transmission system, a pseudostatic model is built. Based on the loaded tooth contact analysis (LTCA) technique, the actual meshing process of each gear pair is simulated and the fitting curve of time-varying mesh stiffness is obtained. And then, the torsional angle deformation compatibility conditions are proposed according to the closed-loop characteristic of power flow, which will be combined with the torque equilibrium conditions and elastic support conditions to calculate the transfer torque of each gear pair. Finally, the load-sharing coefficient of the power-split transmission system is obtained, and the influences of the installation errors are analyzed. The results show that the above-mentioned installation errors comprehensively influence the load-sharing characteristics, and the reduction of only one error could not effectively achieve perfect load-sharing characteristics. Allowing for the spline clearance floating and constrained by the radial spacing ring, the influence of the floating pinion is analyzed. It shows that the floating pinion can improve the load-sharing characteristics. Through the comparison between the theoretical and related experimental data, the reasonability and feasibility of the above-proposed method and model are verified.

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Section: Time-varying Mesh Stiffness Based On Loaded Tooth Contact Anmentioning

confidence: 99%

Load-Sharing Characteristics of Power-Split Transmission System Based on Deformation Compatibility and Loaded Tooth Contact Analysis

Hao

Duan²,

Zhang

et al. 2015

International Journal of Aerospace Engineering

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“…In addition, related references (Kin, 1994;Li, 2002;Litvin et al, 1999;Litvin et al, 2003;Litvin, 2007) also referred to them. Thus, by the calculation of TCA and LTCA of double helical gears, the loading transmission error and tooth surface load can be obtained.…”

Section: Modification Optimizationmentioning

confidence: 99%

Investigation of a design modification for double helical gears reducing vibration and noise

Wang

Fang

Hai-tao

2010

J. Marine. Sci. Appl.

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To reduce vibration and noise and increase transmission efficiency, a three segment method for modifying the pinion profile was proposed. Cutter surface equations were deduced by changing the shape of the cutter-edge, substituting three segment parabolas for the line. The influence of longitudinal tooth modifications on tooth surface load distributions was discussed. Transmission error minimization and uniformity of tooth surface load distribution were chosen as optimization goals and the modified parameters were obtained by applying the complex method. Finally, an experiment comparing the loaded transmission error, vibration, and noise both before and after modifications was carried out. The results indicate that the modified design is reliable.

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“…A pair of circular profiles for the generating cutters was proposed in [7] and mismatch of the circular profiles of the cutters was proposed for localization of the bearing contact in [8]. Modification of pinion tooth surfaces by application of parabolic profiles instead of straight profiles of the cutters has been proposed in [9] for the localization of the bearing contact. Localization of the bearing contact by the application of mismatched profiles of the cutters makes the contact less sensitive to the errors of alignment but, at the same time, increase contact and bending stresses, and transmission errors.…”

Section: Introductionmentioning

confidence: 99%

Modified geometry of spur gear drives for compensation of shaft deflections

2015

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One of the greatest concern of spur gears is the edge contact of tooth surfaces that is caused by misalignment of the gear drive. Such a misalignment is caused partially by the deflections of the shafts where the gears are mounted. As a result of the edge contact a non favorable condition of bearing contact is achieved, providing a high level of contact and bending stresses. An intensive research and many practical solutions have been directed to modify the gear tooth surfaces in order to avoid edge contact. An innovative procedure is proposed here for: (i) determination of the errors of alignment at the gear drive caused by shaft deflections, (ii) incorporation of such errors of alignment in the generation process of spur gears for compensation of shaft deflections, and (iii), determination of a favorable function of transmission errors for the design load. A finite element model of a spur gear drive including pinion and wheel shafts is used for the determination of the errors of alignment along the cycle of meshing. Compensation of misalignments in gear generation is then accomplished by modification of pinion tooth surfaces whereas the wheel tooth surfaces are kept unmodified. Additional modifications of pinion tooth surfaces may

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Computerized simulation of meshing of conventional helical involute gears and modification of geometry

Cited by 64 publications

References 2 publications

Load-Sharing Characteristics of Power-Split Transmission System Based on Deformation Compatibility and Loaded Tooth Contact Analysis

Load-Sharing Characteristics of Power-Split Transmission System Based on Deformation Compatibility and Loaded Tooth Contact Analysis

Investigation of a design modification for double helical gears reducing vibration and noise

Modified geometry of spur gear drives for compensation of shaft deflections

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