Calculating optimum gear ratios of a two-stage helical reducer with first stage double gear sets

Pi, Vu Ngoc; Hong, Tran Thi; Thảo, Trần Thị Phương; Tuan, Nguyen Khac; Hưng, Lê Xuân; Tung, Luu Anh

doi:10.1088/1757-899x/542/1/012017

Cited by 11 publications

(4 citation statements)

References 1 publication

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“…1. The dependence of the mass of gears on the partial gear ratios [4] Optimal determination of the partial gearbox ratios has been conducted by several researchers so far [5,6]. The methodology used in gearbox optimization is methods based on graph, practice, and model.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the partial gear ratios of the two-stage worm gearbox for minimizing total gearbox cost

Quang¹,

Linh

Huy³

et al. 2022

EEJET

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Optimizing the design of a worm gearbox is complex to get due to considering multiple objectives and numerous main design parameters. Hence, a more consistent and robust optimization technique will be considered in obtaining the optimized results. This paper presents the optimization process of the Two-Stage Worm Gearbox with the objective function of minimizing total gearbox cost. Ten main design parameters are chosen as input parameters for evaluating their impacts on the response of the partial gear ratio u2. In this study, the simulation experiments were used, which do not need cost to perform all potential tests. In order to do this, a 2^(10-3) model and using 1/16 fractional model were selected due to the limitation of the built-in function in Minitab@18. Moreover, the screening experiments are purposely used to determine the number of parameters, which has a minor influence on the response. Compared to using the Taguchi technique, the model of 2^11 corresponding to L32 or 32 tests is a simple method to achieve the objectives. The results show that Total gearbox ratio exhibits the biggest effect on the response compared to others. Furthermore, the interactions between these factors to the remaining are significant. The high reliability of the proposed model is verified by simulation experiments. The random tendency of data shows that u2 is not crucially influenced by other than the input parameters. The data in versus order prove that the response is not varied to the time factor. Moreover, the coefficients of adjusted R2 and R2 are both greater than 99 %, it can be concluded that the proposed regression model is appropriate. The proposed optimization process in this study is reliable and the optimal design method can provide a useful reference on performance improvement of other worm gears.

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Section: Introductionmentioning

confidence: 99%

Optimizing the partial gear ratios of the two-stage worm gearbox for minimizing total gearbox cost

Quang¹,

Linh

Huy³

et al. 2022

EEJET

Self Cite

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“…8 Several authors are concerned with volume optimization, for example Sanghvi et al, 9 who compared different optimization techniques. The minimum cross section area of a two-stage helical reducer was obtained by Pi et al 10 by determination of optimum gear ratios of the reducer.…”

Section: Introductionmentioning

confidence: 99%

Optimum dog-leg angle for mass and bearing force optimization of multistage gear reduction

Svahn

Hjelm

2021

Proceedings of the Institution of Mechanical Engineers, Part D:

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This paper describes a method to minimize bearing forces as well as bearing and housing mass for a multistage gear reduction. This is done by finding the optimum dog-leg angles for the stages while leaving other aspects of the design unaltered. The optimization is demonstrated first for spur gears, and then for helical gears typically used in electric vehicles. A numerical example shows how bearing forces and mass of bearings and housing are reduced considerably by choosing the optimum dog-leg angle.

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“…From that comment, the optimum gear ratios are given. The most common method is the model method [3,4,[14][15][16]. In this method, models for calculating optimum gear ratios are determined by solving optimum problems with different target solving optimum problems with different target functions such as minimal gearbox length [3,4,15], minimal mass of gears [4] or minimal gearbox cross section [4,14,16].…”

Section: Introductionmentioning

confidence: 99%

“…The most common method is the model method [3,4,[14][15][16]. In this method, models for calculating optimum gear ratios are determined by solving optimum problems with different target solving optimum problems with different target functions such as minimal gearbox length [3,4,15], minimal mass of gears [4] or minimal gearbox cross section [4,14,16]. In literature these studies have investigated various levels of gear stages such as two-stage gearboxes [17][18][19][20], three-stage gearbox [4,14], and four-stage gearboxes [21].…”

Section: Introductionmentioning

confidence: 99%

The Influence of Main Design Parameters on the Overall Cost of a Gearbox

Nguyen

Luu

et al. 2020

Applied Sciences

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This study is aimed at determining optimum partial gear ratios to minimize the cost of a three-stage helical gearbox. In this work, eleven input parameters were investigated to find their influence on the optimum gear ratios of the second and the third stages ( u 2 and u 3 ). To reach the goal, a simulation experiment was designed and implemented by a cost optimization program. The results revealed that in addition to the input parameters, their interactions also have important effects in which the total ratio gearbox ratio ( u t ) and the cost of shaft ( C s ) have the most impact on u 2 and u 3 responses, respectively. Moreover, the proposed models of the two responses are highly consistent to the experimental results. The proposed regression equations can be applied to solve optimization cost problems.

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Calculating optimum gear ratios of a two-stage helical reducer with first stage double gear sets

Cited by 11 publications

References 1 publication

Optimizing the partial gear ratios of the two-stage worm gearbox for minimizing total gearbox cost

Optimizing the partial gear ratios of the two-stage worm gearbox for minimizing total gearbox cost

Optimum dog-leg angle for mass and bearing force optimization of multistage gear reduction

The Influence of Main Design Parameters on the Overall Cost of a Gearbox

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