A Study on Determination of Optimum Gear Ratios of a Two-Stage Worm Gearbox

Tung, Luu Anh; 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_8

Cited by 15 publications

(4 citation statements)

References 5 publications

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“…transmission ratios [7] The model method used for optimizing the gearbox ratios is widely applied by research communities [8][9][10]. Various types of output responses being minimizing gearbox width [11][12][13], shaft mass [14] or cross-section area [15][16][17] make this method attractive for many researchers. This may be due to the significant development of computers, experimental design methods, which can serve well for the treatment of huge analyzed data.…”

Section: Fig 2 the Relation Between Partial And Totalmentioning

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: Fig 2 the Relation Between Partial And Totalmentioning

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

View full text Add to dashboard Cite

show abstract

“…As the experiment in this work is a simulation experiment, it is not necessary to reduce the number of experiments required to be performed like real experiments. Therefore, it is desired to perform full factorial design of 2 11 instead of the Taguchi method as the usual practice. Nevertheless, the expecting function is not available in Minitab@19, therefore the model of 2 11−4 and 1/16 fraction is purposely adopted.…”

Section: Experimental Workmentioning

confidence: 99%

“…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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“…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%

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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A Study on Determination of Optimum Gear Ratios of a Two-Stage Worm Gearbox

Cited by 15 publications

References 5 publications

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

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

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

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