Determination of optimum gear ratios of a three stage bevel helical gearbox

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

doi:10.1088/1757-899x/542/1/012007

Cited by 14 publications

(6 citation statements)

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“…As a result, the cost of a three-stage helical gearbox, namely , can be calculated as the Equation 1: In literature these studies have investigated various levels of gear stages such as two-stage gearboxes [17,18], three-stage gearbox [4,14], and four-stage gearboxes [19]. Also, the determination of optimum gear ratios of bevel gearbox was carried in [20][21][22][23]. Recently, the optimum partial gear ratios have been found for mechanical driven systems using a gearbox and a chain drive [5,9,23] or a V-belt drive [22,24,25].…”

Section: Cost Analysis Of Three-stage Helical Gearboxmentioning

confidence: 99%

“…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]. Also, the determination of optimum gear ratios of bevel gearbox was carried in [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Cost Analysis Of Three-stage Helical Gearboxmentioning

confidence: 99%

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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“…Relation between gear mass and gear ratio of second stage [1] Up to now, the optimal gear ratio of a gearbox has been determined using various methods such as using graphs [2,3], using «practical formulas» [4] which have been found based on the results from gearbox companies, or using optimal models [5,6]. In addition, the problem of calculating the optimal gear ratio has been performed for different types of gearboxes such as helical gear boxes [6][7][8], bevel gear boxes [9][10][11], worm gearboxes [12][13][14][15]. Besides, the optimal gear ratios have been determined for two-stage [7,8,14], three-stage [6,10,11], and four-stage gearbo xes [16,17].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the problem of calculating the optimal gear ratio has been performed for different types of gearboxes such as helical gear boxes [6][7][8], bevel gear boxes [9][10][11], worm gearboxes [12][13][14][15]. Besides, the optimal gear ratios have been determined for two-stage [7,8,14], three-stage [6,10,11], and four-stage gearbo xes [16,17]. Also, different objectives have also been selected when solving this problem such as the minimum mass of gears [16,18], minimum mass of gearbox [19], the minimum gearbox cross-section section [8,10,14], the minimum gearbox length [17,20], or minimum gearbox cost [9,21].…”

Section: Introductionmentioning

confidence: 99%

“…Besides, the optimal gear ratios have been determined for two-stage [7,8,14], three-stage [6,10,11], and four-stage gearbo xes [16,17]. Also, different objectives have also been selected when solving this problem such as the minimum mass of gears [16,18], minimum mass of gearbox [19], the minimum gearbox cross-section section [8,10,14], the minimum gearbox length [17,20], or minimum gearbox cost [9,21].…”

Section: Introductionmentioning

confidence: 99%

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Cost optimization of two-stage helical gearboxes with second stage double gear-sets

Anh

Linh

Quang³

et al. 2021

Eureka: PE

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In practice, the cost of a gearbox plays a very important role in the trade. Therefore, reducing the cost of gearboxes is an important task not only when manufacturing the gearboxes but also when designing them. In order to reduce the cost of a gearbox, there are many solutions in which determining the optimal partial gear ratios of a gearbox is an effective measure. This is because it not only the size, the mass but also the cost of a gearbox depends greatly on the partial gear ratios. This work presents a method for calculating the cost function of two-stage helical gearboxes with second-stage double gear-sets based on the mass of the components that construct the gearbox. The cost objective function is minimized to achieve the optimal transmission ratios. Furthermore, screening experiments are carried out with nine important input parameters that have significant effects on the optimum transmission ratio of the second stage. These parameters are the total gearbox ratio, the coefficient of wheel face width of the first stage, coefficient of wheel face width of the second stage, the allowable contact stress of the first stage, the allowable contact stress of the second stage, the output torque, the cost of gearbox housing, the cost of gears, and the shaft cost. The experimental results of were analysed by using the Analysis of Variance (ANOVA) method with the help of Minitab 19 software. The results demonstrate that the effective weight of the input parameters and their interactions on the output response was investigated. Also, a regression model for computing the optimal transmission ratio of the second stage was proposed. This brings significance not only in the design process but also in manufacturing since the gearbox cost can decrease

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