Tolerance analysis (static and dynamic) of the gearbox assembly to achieve correct manufacturing tolerances
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیکEhsan Mehrabi Gohari 1 , Iman Pishkar 2 , Mohammad Alipour 3
1 - Department of Mechanical Engineering, Payame Noor University, PO Box 19395-3697, Tehran, Iran
2 - Department of Mechanical engineering, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
3 - Department of Mechanical Engineering, Payame Noor University, PO Box 19395-3697, Tehran, Iran
کلید واژه: Static tolerance analysis, Dynamic tolerance analysis, Dimensional tolerance, Geometric tolerance, Inventor software,
چکیده مقاله :
Tolerance analysis is one of the most important parameters affecting the quality and production costs of a product. In this research, using the tolerance analysis capabilities in Inventor software to set the tolerance of the speed reducer gearbox. First, the dimensions of the conical rotor of the elevator gearbox were obtained by Geomagic reverse engineering software, and then the results were used in Inventor software to develop the gearbox model into a three-speed gearbox. Dimensional and geometric static tolerance analysis of this collection was done by using the worst-case, sum of square roots, process capability index and sigma methods. The results showed the worst-case method in tolerance analysis works more cautiously than other methods, as well as the residual sum of squares method, shows less laxity and interference than the worst-case method. Process index method, confirmed the assembly and in the sigma method, the sigma function considers the level of tolerance to be acceptable. Also, to ensure the correctness of the obtained tolerances, dynamic analysis has been done by using ADAMS software. The results showed that the set did not have any excessive slack or interference during movement. For validation, the results of this study were compared with Monte Carlo simulation results and showed good agreement.
Tolerance analysis is one of the most important parameters affecting the quality and production costs of a product. In this research, using the tolerance analysis capabilities in Inventor software to set the tolerance of the speed reducer gearbox. First, the dimensions of the conical rotor of the elevator gearbox were obtained by Geomagic reverse engineering software, and then the results were used in Inventor software to develop the gearbox model into a three-speed gearbox. Dimensional and geometric static tolerance analysis of this collection was done by using the worst-case, sum of square roots, process capability index and sigma methods. The results showed the worst-case method in tolerance analysis works more cautiously than other methods, as well as the residual sum of squares method, shows less laxity and interference than the worst-case method. Process index method, confirmed the assembly and in the sigma method, the sigma function considers the level of tolerance to be acceptable. Also, to ensure the correctness of the obtained tolerances, dynamic analysis has been done by using ADAMS software. The results showed that the set did not have any excessive slack or interference during movement. For validation, the results of this study were compared with Monte Carlo simulation results and showed good agreement.
[1] Bag, S., Gupta, S. and Kumar, S. (2021). Industry 4.0 adoption and 10R advance manufacturing capabilities for sustainable development. International journal of production economics, 231, 107844.
[2] Chen, L. Y., Liang, S. X., Liu, Y., & Zhang, L. C. (2021). Additive manufacturing of metallic lattice structures: Unconstrained design, accurate fabrication, fascinated performances, and challenges. Materials Science and Engineering: R: Reports, 146, 100648.
[3] Khorasani, M., Ghasemi, A., Rolfe, B., & Gibson, I. (2022). Additive manufacturing a powerful tool for the aerospace industry. Rapid prototyping journal, 28(1), 87-100.
[4] Azman, M. A., Asyraf, M. R. M., Khalina, A., Petrů, M., Ruzaidi, C. M., Sapuan, S. M., ... & Suriani, M. J. (2021). Natural fiber reinforced composite material for product design: A short review. Polymers, 13(12), 1917.
[5] Gao, S., Jin, R., & Lu, W. (2020). Design for manufacture and assembly in construction: a review. Building research & information, 48(5), 538-550.
[6] Agha Beigi, M., Movahedi, M., Rajabi, A., (2013). Tolerance analysis of mechanical assemblies using reliability box diagram, 12th National Conference on Manufacturing and Production Engineering of Iran, Tehran, Iran.
[7] Hasani , H., Khodaygan, S., (1401). Tolerance analysis of mechanical assemblies using the one-variable dimensional reduction method, the 30th annual international conference of the Iranian Mechanical Engineers Association, Tehran, Iran.
[8] Khodaygan, S., Movahedi, M., (2018). Tolerance analysis of the three-dimensional set of welding fixtures based on the direct-fuzzy linearization method, the 10th National Conference on Construction and Production Engineering, Babol ,Iran.
[9] Varga, J., Tóth, T., Frankovský, P., Dulebová, Ľ., Spišák, E., Zajačko, I., & Živčák, J. (2021). The influence of automated machining strategy on geometric deviations of machined surfaces. Applied sciences, 11(5), 2353.
[10] Xu, J., Buswell, R. A., Kinnell, P., Biro, I., Hodgson, J., Konstantinidis, N., & Ding, L. (2020). Inspecting manufacturing precision of 3D printed concrete parts based on geometric dimensioning and tolerancing. Automation in Construction, 117, 103233.
[11] Feng, J., Fu, J., Yao, X., & He, Y. (2022). Triply periodic minimal surface (TPMS) porous structures: From multi-scale design, precise additive manufacturing to multidisciplinary applications. International Journal of Extreme Manufacturing, 4(2), 022001.
[12] Walter, M. S., Klein, C., Heling, B., & Wartzack, S. (2021). Statistical tolerance analysis—A survey on awareness, use and need in German industry. Applied Sciences, 11(6), 2622.
[13] Umaras, E., Barari, A., & Tsuzuki, M. S. G. (2021). Tolerance analysis based on Monte Carlo simulation: A case of an automotive water pump design optimization. Journal of Intelligent Manufacturing, 32, 1883-1897.
[14] Polini, W., Corrado, A. (2023). Tolerance analysis by static analogy: numerical and experimental results. Proceedings of the institution of mechanical engineers. Part b, journal of engineering manufacture, 237(10), 1161-1170.
[15] Armillotta, A. (2019). Tolerance analysis of gear trains by static analogy. Mechanism and Machine Theory, 135, 65-80.
[16] Wisniewski, D.M., Gomer, P. (1998). Tolerance Analysis Using VSA-3D® for Engine Applications. In: ElMaraghy, H.A. Geometric Design Tolerancing: Theories, Standards and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5797-5_36 .
[17] Chen, H., Li, X., Jin, S.(2021) A statistical method of distinguishing and quantifying tolerances in assemblies. Computers & Industrial Engineering, 156(1), 107259.
[18] Amda, S.K., Srinivasulu, N.V., Sivarama Krishna, L. (2023). A review on tolerance analysis approaches in mechanical assemblies, Materials Today: Proceedings, https://doi.org/10.1016/j.matpr.2023.07.217
[19] Hassani, H., Khodaygan, S. (2022). Direct tolerance analysis of mechanical assemblies with normal and non-normal tolerances for predicting product quality, International Journal of Computer Integrated Manufacturing, 35:7, 743-760, DOI: 10.1080/0951192X.2021.2023221.
[20] O’Connor, M. A., & Srinivasan, V. (1998). Composing distribution function zones for statistical tolerance analysis. In Geometric design tolerancing: Theories, standards and applications (pp. 64-76- Springer, Boston, MA
[21] Varghese, P., Braswell, R. N., Wang, B., & Zhang, C. (1996). Statistical tolerance analysis using FRPDF and numerical convolution. Computer-Aided Design, 28(9), 723-732.