Cost Optimization of Two-Stage Helical Gearboxes with Second Stage Double Gear-Sets

EUREKA: Physics and Engineering, (6), 89–101. doi: https://doi.org/10.21303/2461-4262.2021.001855, 2021

13 Pages Posted: 8 Feb 2022

See all articles by Le Hoang Anh

Le Hoang Anh

Vinh Long University

Nguyen Hong Linh

North China Electric Power University

Nguyen Huu Quang

University of Economics - Technology for Industries

Pham Duc Lam

Nguyen Tat Thanh University

Nguyen Anh Tuan

University of Economics - Technology for Industries

Nguyen Khac Tuan

Thai Nguyen University of Technology, Thai Nguyen city, Vietnam

Nguyen Thi Thanh Nga

Thai Nguyen University of Technology

Vu Ngoc Pi

Thai Nguyen University of Technology, Thai Nguyen city, Vietnam

Date Written: November 18, 2021

Abstract

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.

Keywords: cost optimization, optimization design, gear ratios, optimal gear ratios, helical gearbox

Suggested Citation

Anh, Le Hoang and Linh, Nguyen Hong and Quang, Nguyen Huu and Duc Lam, Pham and Anh Tuan, Nguyen and Khac Tuan, Nguyen and Thi Thanh Nga, Nguyen and Ngoc Pi, Vu, Cost Optimization of Two-Stage Helical Gearboxes with Second Stage Double Gear-Sets (November 18, 2021). EUREKA: Physics and Engineering, (6), 89–101. doi: https://doi.org/10.21303/2461-4262.2021.001855, 2021, Available at SSRN: https://ssrn.com/abstract=3967632

Le Hoang Anh (Contact Author)

Vinh Long University

Vinh Long
Vietnam

Nguyen Hong Linh

North China Electric Power University

School of Business Administration,NCEPU
No. 2 Beinong Road, Changqing District
Beijing, Beijing 102206
China

Nguyen Huu Quang

University of Economics - Technology for Industries

456 Minh Khai str., Vinh Tuy ward, Hai Ba Trung
Hanoi, 11622
Vietnam

Pham Duc Lam

Nguyen Tat Thanh University

Faculty of Food and Environmental Engineering
Vietnam

Nguyen Anh Tuan

University of Economics - Technology for Industries

456 Minh Khai str., Vinh Tuy ward, Hai Ba Trung
Hanoi, 11622
Vietnam

Nguyen Khac Tuan

Thai Nguyen University of Technology, Thai Nguyen city, Vietnam ( email )

Km 9, 3/2 Street
Tich Luong District
Thai Nguyen, Thai Nguyen
Vietnam

Nguyen Thi Thanh Nga

Thai Nguyen University of Technology

Vietnam

Vu Ngoc Pi

Thai Nguyen University of Technology, Thai Nguyen city, Vietnam ( email )

Km 9, 3/2 Street
Tich Luong District
Thai Nguyen, Thai Nguyen
Vietnam

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Downloads
3
Abstract Views
40
PlumX Metrics