A Study on Determining Optimum Gear Ratios of Mechanical Driven Systems Using Two-Step Helical Gearbox with First Step Double Gear Sets and Chain Drive

Tuan, Nguyen Khac; Hong, Tran Thi; Cuong, Nguyen Van; Ky, Le Hong; Tú, Nguyễn Thanh; Tung, Luu Anh; Hưng, Lê Xuân; Pi, Vu Ngoc

doi:10.1007/978-3-030-37497-6_9

Cited by 11 publications

(3 citation statements)

References 2 publications

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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%

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: 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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“…With the practical method, partial transmissions ratios are commonly given in a table by the professional experiences from expert designers [7]. For the model method as found in [8][9][10][11], gear ratios are regularly led to mathematical models. For concerning the study on types of gearboxes, the partial transmission ratios have been investigated for two-step gearboxes [5,6,[12][13][14][15][16], for three-step gearboxes [17][18][19][20][21][22], and for four-step gearboxes [4,23].…”

Section: Introductionmentioning

confidence: 99%

“…In which, is the total gearbox ratio; is the efficiency of the bevel gear set, ℎ = 0.95 ÷ 0.97 [27]; ℎ is the efficiency of helical gear set, ℎ = 0.96 ÷ 0.98 [27]; is the efficiency of a rolling bearing pair = 0.99 ÷ 9.995 [27]. Choosing = 0.96; ℎ = 0.97, = 0.992, 11 can be rewritten as:…”

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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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