Determining Optimum Gear Ratios of Mechanical Driven Systems Using Three Stage Bevel Helical Gearbox and Chain Drive

Thảo, Trần Thị Phương; Hong, Tran Thi; Cuong, Nguyen Van; Ky, Le Hong; Tú, Nguyễn Thanh; Hưng, Lê Xuân; Pi, Vu Ngoc

doi:10.1007/978-3-030-37497-6_29

Cited by 15 publications

(8 citation statements)

References 4 publications

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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%

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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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…It can be seen from the figure that with the optimum value of u 2 (u 2 = 2), the mass of gears is merely about 178 (kg) whereas it reaches about 275 (kg) when u 2 = 6. Therefore, there has been various research work dealing with optimizing gear ratios so far [1][2][3][4][5][6][7][8][9][10][11]. The methodology of gear ratio optimization can basically be divided into three groups, e.g., graph method, practical method, and model method.…”

Section: Introductionmentioning

confidence: 99%

“…Also, the determination of optimum gear ratios of bevel gearbox was carried in [22][23][24][25]. Recently, the optimum partial gear ratios have been found for mechanical driven systems using a gearbox and a chain drive [5,9,25] or a V-belt drive [24,26,27].…”

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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“…In recent years, there have been several researches regarding bevel gears. The calculation of gear ratios for three-stage bevel helical gearboxes has been investigated in [19,24]. Vu and Nguyen [25] proposed the determination partial ratios of a chain drive and gear ratios of a two-step bevel helical gearbox.…”

Section: Introductionmentioning

confidence: 99%

Optimization of Transmission Ratios for Two-stage Bevel Helical Gearboxes Based on Mass Function

Hong¹,

Tuyen²,

Danh³

et al. 2020

International Journal of Engineering Research and Technology

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This study presents a methodology to compute the mass of a two-stage bevel helical gearbox. The objective function depending on the transmission ratios of two stages was examined with the constraint conditions of the important input parameters. These input parameters were given for designing the screening experiment with the help of Minitab 19. The results indicate that not only input parameters but also their interactions have important influences on the optimal transmission ratios. Based on the regression and variance analysis, a mathematical model to compute the optimum transmission ratios was resulted as an explicit equation. The reliability of the mathematical model is verified by the results of the screening experiment. Therefore, the transmission ratios are determined simply. This can increase the economic and technical effectiveness in gearbox design process.

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Determining Optimum Gear Ratios of Mechanical Driven Systems Using Three Stage Bevel Helical Gearbox and Chain Drive

Cited by 15 publications

References 4 publications

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

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

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

Optimization of Transmission Ratios for Two-stage Bevel Helical Gearboxes Based on Mass Function

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