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COMPARATIVE ANALYSIS OF ANALYTICAL AND NUMERICAL CALCULATIONS OF CONTACT STRESSES AT ROTATIONAL ELEMENTS OF GEROTOR PUMPS
Authors:
Lozica Ivanović1, Boris Rakić2
, Blaža Stojanović3, Miloš Matejić4
1Lozica Ivanović, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
2Boris Rakić, PhD student, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
3Blaža Stojanović, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
4Miloš Matejić, Teaching Assistant, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
Received: 03 February 2016
Accepted: 17 February 2016
Available online: 30 June 2016
Abstract:
Numerical analysis of contact stresses at rotational elements of gerotor pumps with fixed position of shafts axis and with driving rotor acting as internal element, is presented in this paper. The basic characteristics and principles of functioning of this type of pumps are explained and review of researches in the area of numerical methods and developments and design optimizations of those pumps are presented. The basic assumptions, limitation and input values are defined in order to determine maximal stresses, numerical analysis of contact stresses, which are caused by transmitting of torque from internal to external gear. The obtained results of research contact stresses by numerical and analytical method are graphical presentations. The comparisons of results for better understanding of its deviations also were performed.
Keywords:
Trochoidal gearing, gerotor pump, rotational elements, contact stresses, numerical analysis.
References:
[1] Company Catalogs: PPT Hydraulics, Danfoss, Nichols Portland Company, Hydraulic Products Incorporated, CATIA Version 5 Release 7 Documentation.
[2] P. J. Gamez-Montero, Caracterizacion Fluidodinamica de una Bomba Oleohidraulica de Engranajes internos generados por Perfiles Trocoidales (Ph.D. Thesis), Universitat Politecnica de Catalunya, Terrassa, 2004.
[3] P. J. Gamez-Montero, E. Codina Macià, Fluid Dynamic Behaviour of an Internal Rotary Pump Generated by Trochoidal Profiles, Proc. of 1st FPNI-PhD Symposium, Hamburg, Germany, 20-22th September, 2000, pp.33-47.
[4] L. Ivanović, Identification of optimal trochoidal profile at elements of rotational pump (Ph.D. Thesis), University of Kragujevac, Faculty of Mechanical Engineering Kragujevac, Serbia, 2006.
[5] L. Ivanovic, G. Devedzic, S. Cukovic, N. Miric, Modeling of the Meshing of Trochoidal Profiles With Clearances, J Mech Des N Y, 134, 2012, No.4, 041003-1-041003-9.
[6] L. Ivanović, G. Devedžić, N. Mirić, S. Ćukovic, Analysis of forces and moments in the gerotor pumps, Proceedings of the Institution of Mechanical Engineers, Part C: JMES, 1, 2010, No.1, 1-13.
[7] L. Ivanović, D. Josifović, A. Ilić, Modelling of trochoidal gearing at the gerotor pump, 4th International Conference on Power Transmissions, Sinaia, Romania, 20-23 June, 2012, pp. 553-562.
[8] L. Ivanović, B. Rakić, D. Josifović, A. Ilić, Analysis of contact stresses at trochoidal gearing by numeric approach, The 8th International Symposium KOD 2014, Machine and Industrial Design in Mechanical Engineering, Balatonfüred, Hungary, 12-15 June, 2014, pp.205-210.
[9] F. Litvin, F. Feng Computerized design and generation of cycloidal gearings, MECH MACH THEORY, 31, 1996, No 7, pp.891-911.
[10] M. Chmurawa, A. Lokiec, Distribution of loads in cycloidal planetary gear (CYCLO) including modification of equidistant, 16th European ADAMS user conference, Berchtesgaden, Germany, 2001. http://web.mscsoftware.com/support/library/conf/adams/euro/2001/proceedings/papers_pdf/Paper_54.pdf
[11] L. Lixing, L. Xin, H. Weidong, Q. Yuanmei, Profile modification and accurate force analysis on cycloid drive, 4th World congress on gearing and power transmission, Paris, France, 16-18th Marth, 1999, pp.1141-1146.
[12] M. Blagojevic, N. Marjanovic, Z. Djordjevic, B. Stojanovic, V. Marjanovic, R. Vujanac, A. Disic, Numerical and experimental analysis of the cycloid disc stress state, Technical Gazette, 21, 2014, No.2, pp.377-382.
[13] M. Blagojevic, N. Marjanovic, Z. Djordjevic, B. Stojanovic, A. Disic, A new design of a two-stage cycloidal speed reducer, J Mech Des N Y, 133, 2011, No.8, pp. 085001-1-085001-7.
[14] S.K. Malhotra, M.A. Parameswaran Analysis of a cycloidal speed reducer, MECH MACH THEORY, 18, 1983 No 6, pp.491-499.
[15] M. Blagojević, V. Nikolić-Stanojević, Influence of magnitude of eccentricity on tooth profile of cyclo gear and distribution of forces, IRMES, 2004, Kragujevac, Serbia, 16-17th September, 2004, pp.673-678
[16] M. Blagojević, N. Marjanović, (2007) The force distribution on two stage cyclo speed reducer with new concept, DEMI Banja Luka, Bosnia and Hercegovina, 25-26 Maj, 2007, pp.51-56.
[17] M. Blagojević, Stress and strain state of cyclo speed reducer`s elements under dynamic loads (Ph.D. Thesis), University of Kragujevac, Faculty of Mechanical Engineering Kragujevac, Serbia, 2008.
[18] M. Blagojević, V. Nikolić, N. Marjanović, LJ. Veljović, Analysis of cycloid drive dynamic behavior, Scientific Technical Review, LIX, 2009, No.1, pp 52-56.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 4
December 2025
Last Edition
Volume 10
Number 4
December 2025
How to Cite
L. Ivanović, B. Rakić, B. Stojanović, M. Matejić, Comparative Analysis of Analytical and Numerical Calculations of Contact Stresses at Rotational Elements of Gerotor Pumps. Applied Engineering Letters, 1(1), 2016: 1-7.
More Citation Formats
Ivanović, L., Rakić, B., Stojanović, B., & Matejić, M. (2016). Comparative Analysis of Analytical and Numerical Calculations of Contact Stresses at Rotational Elements of Gerotor Pumps. Applied Engineering Letters, 1(1), 1-7.
Ivanović, Lozica, et al. “Comparative Analysis of Analytical and Numerical Calculations of Contact Stresses at Rotational Elements of Gerotor Pumps.“ Applied Engineering Letters, vol. 1, no. 1, 2016, pp. 1-7.
Ivanović, Lozica, Boris Rakić, Blaža Stojanović, Miloš Matejić. 2024.“Comparative Analysis of Analytical and Numerical Calculations of Contact Stresses at Rotational Elements of Gerotor Pumps.“ Applied Engineering Letters, 1 (1): 1-7.
Ivanović, L., Rakić, B., Stojanović, B. and Matejić, M. (2016). Comparative Analysis of Analytical and Numerical Calculations of Contact Stresses at Rotational Elements of Gerotor Pumps. Applied Engineering Letters, 1(1), pp. 1-7.
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COMPARATIVE ANALYSIS OF ANALYTICAL AND NUMERICAL CALCULATIONS OF CONTACT STRESSES AT ROTATIONAL ELEMENTS OF GEROTOR PUMPS
Authors:
Lozica Ivanović1, Boris Rakić2
, Blaža Stojanović3, Miloš Matejić4
1Lozica Ivanović, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
2Boris Rakić, PhD student, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
3Blaža Stojanović, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
4 Miloš Matejić, Teaching Assistant, Faculty of Engineering University of Kragujevac, Sestre Janjić 6, 34000 Kragujevac, Serbia
Received: 03.02.2016.
Accepted: 17.02.2016.
Available online: 30.06.2016.
Abstract:
Numerical analysis of contact stresses at rotational elements of gerotor pumps with fixed position of shafts axis and with driving rotor acting as internal element, is presented in this paper. The basic characteristics and principles of functioning of this type of pumps are explained and review of researches in the area of numerical methods and developments and design optimizations of those pumps are presented. The basic assumptions, limitation and input values are defined in order to determine maximal stresses, numerical analysis of contact stresses, which are caused by transmitting of torque from internal to external gear. The obtained results of research contact stresses by numerical and analytical method are graphical presentations. The comparisons of results for better understanding of its deviations also were performed.
Keywords:
Trochoidal gearing, gerotor pump, rotational elements, contact stresses, numerical analysis.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 4
December 2025
Last Edition
Volume 10
Number 4
December 2025