The stiffness of The Open Gearing of Tumbling MillS

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Authors:

B.V.Vinogradov, Dr. Sci. (Tech.), Professor, State Higher Educational Institution “Ukrainian State University of Chemical Technology”, Dnepropetrovsk, Ukraine, е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

D.O.Fedin, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “Ukrainian State University of Chemical Technology”, Dnepropetrovsk, Ukraine, е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Development of the calculation technique of gear wheels tooth pair stiffness in one-pair gearing by the finite elements method and its application for an estimation of tumbling mills open tooth gearings stiffness.

Technique. The calculation of stress state was carried out by the finite elements method. At the first stage the analytical model of a gearing was formed. Based on the key geometrical parameters and drawings the three-dimensional geometrical model of the tooth gearing was designed. The physical properties of the constructional materials were set. The geometrical model split into finite elements. The boundary conditions that ensure the kinematic stability of model, and the condition of contact of working surfaces of teeth were set. An external loading in the form of the torque applied to a seat contact surface of a gear wheel was set. The equations of balance were solved. The displacement unit of the contact line of the teeth was defined. The stiffness of the tooth pair was calculated.

Findings. The current situation in the field of the tooth gearings stiffness calculation was investigated. The special attention was paid to shortcomings of the existing standards with reference to the large-sized tooth gearings. We sowed the advantages of the finite elements method use for calculation of the tooth gearing elements strain state. The algorithm and a calculation technique of the tooth gearings stiffness by means of the finite elements method was presented. The geometrical model and the analytical model were validated. The algorithm of calculation includes creation of a geometrical model of gearing, definition of mechanical properties of constructional materials, splitting of geometrical model into finite elements, calculation of displacements and stiffness of gearing. The calculation results of the tumbling mill МШРГУ 4500х6000 gearing stiffness received by the developed technique, standard technique and results of an experimental determination were compared. There appeared a wide disagreement of the results received by the standard technique and by the experiments. It was shown that the developed technique allows for more exact estimation of the stiffness as it takes into account the design features of the ring gear.

Originality. The influence of the gear rim design on gearing stiffness was established. The quantitative estimation of the stiffness of the open tooth gearing of tumbling mill МШРГУ 4500х6000 was presented.

Practical value. The algorithm of calculation technique for the tumbling mills open tooth gearings stiffness by the finite elements method was developed.

 
Список літератури / References:

1. Lin, T.J., Ou, H. and Li, R.F., 2007. A finite element method for 3D static and dynamic contact/impact analysis of gear drives. Comput. Methods Appl. Mech. Eng., no. 196, pp. 1716–28.

2. Vinogradov, B.V., 2014. The irregularity of the load distribution by the contact line of the tumbling mill open gearing. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 5, pp. 33–38.

Виноградов Б.В. Неравномерность распределения нагрузки по длинне контактных линий открытых зуб-чатых передач барабанных мельниц / Б.В. Виноградов // Науковий вісник НГУ. − Днепропетровск, 2014. − №5. − С.33−38.

3. International Standard Organization, 2006. ISO6336–1, Calculation of Load Capacity of Spur and Helical Gears. Part 1, Geneva: ISO.

4. Ma, H., Song, R., Pang, X. and Wen, B., 2014, Time-varying mesh stiffness calculation of cracked spur gears, Engineering Failure Analysis, no. 44, pp. 179–194.

5. Pedersen, N.L. and Jorgensen, M.F., 2014. On gear tooth stiffness evaluation. Computers and Structures, no. 135, pp. 109–117.

6. Jose, I. Pedrero, Pleguezuelos, M., Artes, M. and Antona, J.A., 2010. Load distribution model along the line of contact for involute external gears. Mechanism and Machine Theory, no. 45, pp. 780–794.

7. Ma, H., Song, R., Pang, X., and Wen, B., 2014. Time-varying mesh stiffness calculation of cracked spur gears. Engineering Failure Analysis, no. 44, pp. 179–194.

8. Marunić, G., 2006. Comparison of Solid Spur Gear Face Load Factors. In: Springer, 16th European Conference of Fracture “Fracture of Nano and Engineering Materials and Structures”. Dordrecht, pp. 1229 −1230.

9. Ma, H., Song, R., Pang, X., and Wen, B., 2014. Time-varying mesh stiffness calculation of cracked spur gears. Engineering Failure Analysis, no. 44, pp. 179−194.

10. Vinogradov, B.V. and Sladkovskiy, S.A., 2001. The stress state of the tumbling mill open gearing. Metallurgical and Mining Industry, no. 3, pp. 63–65.

Виноградов Б.В. Напряженное состояние зубьев открытых передач барабанных мельниц / Б.В. Виноградов, Ю.А. Сладковский // Металлургическая и горнорудная промышленность. Днепропетровск, 2001. − №3. − С.63−65.

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ISSN (print) 2071-2227,
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