Analytical investigation on load sharing characteristics of herringbone planetary gear train with flexible support and floating sun gear

Mo, Shuai; Zhang, Ting; Jin, Guoguang; Cao, Xiaolin; Gao, Hangshan

doi:10.1016/j.mechmachtheory.2019.103670

Cited by 73 publications

(19 citation statements)

References 30 publications

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“…These methods can allow getting an important access to the future collaborative or smart manufacturing considering both the tooth flank geometric and physical performances. 39,40 For instance, in data-driven determination of the target flank, tooth contact strength is considered as main evaluation to optimize the prescribed ease-off flank topography, in additional to the geometric performance. 41,42…”

Section: Resultsmentioning

confidence: 99%

Adaptive data-driven modular control approach to computer aided process planning for manufacturing spiral bevel and hypoid gears

Rong

Ding

Tang

2020

Proceedings of the Institution of Mechanical Engineers, Part B:

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Machine setting modification has been an increasingly important access to the accurate flank manufacturing geometric accuracy control for spiral bevel and hypoid gears. More recently, machine setting driven integration of the theoretical design and the actual gear manufacturing is gaining more and more attention. In this paper, the traditional machine setting modification is extended to the case when higher-order component of the prescribed ease-off flank topography is investigated in form of high-order polynomial expression. Moreover, the actual gear manufacturing and general measurement are integrated into an adaptive data-driven high-order machine setting modification. In particular, this modification method is used to perform adaptive modular control for computer aided process planning (CAPP). Here, a data-driven operation and optimization is developed for adaptive high-order modification. It mainly includes: (i) Polynomial fitting and its optimization by using overall interpolation based on energy method, (ii) Data-driven ease-off flank parametrization based on the fastest descent Newton iteration method, (iii) adaptive control strategy by considering the sensitivity analysis, and (iv) Levenberg-Marquardt (L-M) based approximation for high-order machine setting modification. Given numerical test can verify the proposed method.

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Section: Resultsmentioning

confidence: 99%

Adaptive data-driven modular control approach to computer aided process planning for manufacturing spiral bevel and hypoid gears

Rong

Ding

Tang

2020

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…e phases ϕ sp and ϕ rp will be chosen subsequently such that the tooth separation is in-phase with the mesh deflection. Similar to the procedure as presented in references [24,27], an expression of the response amplitude a i and mesh frequency ω m can be obtained as Shock and Vibration…”

Section: Perturbation Analysis On Dynamic Mesh Forcesmentioning

confidence: 99%

“…It is believed that the manufacturing errors may significantly increase the dynamic vibrations [20][21][22], and the dynamic behaviours have different sensitivity to different kinds of errors [23]. Mo et al [24,25] conducted analytical investigation of load sharing characteristics for herringbone planetary gear train with flexible support and multipower face gear split flow system. e impacts of manufacturing errors, assembly errors, manufacturing error phases, assembly error phases, meshing damping, support stiffness, and the input power on the load sharing coefficients were analyzed.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Load Sharing Behaviours of Planetary Gear Trains and Parameter Study through Perturbation Analysis

Xun

Dai

2021

Shock and Vibration

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In this paper, an analytical solution on the dynamic mesh forces of planetary gear trains (PGTs) is proposed by investigating a lumped-parameter model. By using the method of multiple-scales (MMS), closed-form expressions of mesh force under the effects of manufacturing and assembly errors are obtained. From these expressions, the effects of several key factors such as the tooth thickness error, pin position error, applied torque, support stiffness of sun gear, and tooth profile modifications (TPM) on dynamic load sharing behaviours are explored. Numerical integration is carried out to verify the validation of the proposed method, and the developed expressions are also validated by comparing the results with previously published predictions. The results for several examined PGT systems show that the key factors abovementioned affect the dynamic load sharing behaviours as both static and dynamic factors. An important new conclusion obtained by this work is that proper tooth profile modifications keep the dynamic load sharing factors almost equal to the results obtained under static conditions. This conclusion provides the possibility to simplify the dynamic analysis to the static analysis on the dynamic load sharing problems.

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“…e effects of gear manufacturing and assembly errors on meshing loads have been deeply investigated by the authors in [9]. In addition, in [10], the connection between the stiffness of floating supports and the meshing forces has been extensively surveyed.…”

Section: Introductionmentioning

confidence: 99%

Design Multistage External Gear Pumps for Dry Sump Systems: Methodology and Application

Guerra

Polastri

Battarra

et al. 2021

Mathematical Problems in Engineering

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Thanks to their manufacturing simplicity, robustness, and consolidated design knowledge, external gear pumps are widely adopted in the automotive fields. With the purpose of leading the design procedure of these positive displacement machines, within this work, the authors integrate in a comprehensive tool the salient equations adopted for the design of the major gear pump features. The presented procedure is devoted to the design of multistage external gear pumps characterized by a singular floating driving shaft supported by fluid-dynamic journal bearings. Focusing the attention on the procedure flexibility, it has been structured in three iterative calculation phases. The core section of the methodology concerns the geometrical design of the involute gear tooth profile. It is oriented to ensure a proper volumetric displacement while complying with the space requirement and the tooth manufacturing limitations. Thus, through the analytical pressure loads estimation combined with the operational parameters, the second calculation step provides the design of the driving shaft and the relevant dimensions of the journal bearings. Finally, by means of a power loss approach, the third macrosection of the procedure leads to estimating the clearances between gear tip and housing. The potentials of the methodology are exposed by describing its applications to a case study of multistage gear pump employed in the dry sump lubrication system of an automotive heavy-duty engine. Each calculation step application is outlined with reference to the proposed analytical formulation and the results of the parameters calibration are presented. Within this context, the procedure is assessed by means of a CFD analysis. The results highlight the accuracy of the methodology on the estimation of the required delivery flow rate. Aside from being accurate, flexible, and reliable, the procedure stands out for being an innovative tool within the multistage gear pump framework.

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Analytical investigation on load sharing characteristics of herringbone planetary gear train with flexible support and floating sun gear

Cited by 73 publications

References 30 publications

Adaptive data-driven modular control approach to computer aided process planning for manufacturing spiral bevel and hypoid gears

Adaptive data-driven modular control approach to computer aided process planning for manufacturing spiral bevel and hypoid gears

Dynamic Load Sharing Behaviours of Planetary Gear Trains and Parameter Study through Perturbation Analysis

Design Multistage External Gear Pumps for Dry Sump Systems: Methodology and Application

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