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Experimental and theoretical investigations of the lateral vibrations of an unbalanced Jeffcott rotor

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Abstract

The current work experimentally explores and then theoretically examines the lateral vibrations of an unbalanced Jeffcott rotor-system working at several unbalance conditions. To this end, three conditions of eccentric masses are considered by using a Bently Nevada RK-4 rotor kit. Measurements of the steady-state as well as the startup data at rigid and flexible rotor states are captured by conducting a setup that mimics the vibration monitoring industrial practices. The linear governing equation of the considered rotor is extracted by adopting the Lagrange method on the basis of rigid rotor assumptions to theoretically predict the lateral vibrations. The dynamic features of the rotor system such as the linearized bearing induced stiffness are exclusively acquired from startup data. It is demonstrated that, with an error of less than 5%, the proposed two-degrees-of-freedom model can predict the flexural vibrations at rigid condition. While at flexible condition, it fails to accurately predict the dynamic response. In contrast to the other works where nonlinear mathematical models with some complexities are proposed to mathematically model the real systems, the present study illustrates the applicability of employing simple models to predict the dynamic response of a real rotor-system with an acceptable accuracy.

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References

  1. Krodkiewski J M, Ding J, Zhang N. Identification of unbalance change using a non-linear mathematical model for multi-bearing rotor systems. Journal of Sound and Vibration, 1994, 169(5): 685–698

    Article  Google Scholar 

  2. Sanches F D, Pederiva R. Rotor faults identification using correlation analysis and model order reduction. In: The 22nd International Congress of Mechanical Engineering (COBEM 2013). Ribeirão Preto, 2013

  3. Pjadatare H P, Pratiher B. Nonlinear frequencies and unbalanced response analysis of high speed rotor-bearing systems. Procedia Engineering, 2016, 144: 801–809

    Article  Google Scholar 

  4. Gunter E J. Introduction to Rotor Dynamics: Critical Speed and Unbalance Response Analysis. Charlottesville, VA: RODYN Vibration Analysis, Inc., 2001

    Google Scholar 

  5. Rabczuk T, Ren H, Zhuang X. A nonlocal operator method for partial differential equations with application to electromagnetic waveguide problem. Computers, Materials and Continua, 2019, 59(1): 31–55

    Article  Google Scholar 

  6. Taplak H, Uzmay I, Yıldırım S. Design of artificial neural networks for rotor dynamics analysis of rotating machine systems. Journal of Scientific and Industrial Research, 2005, 64: 411–419

    Google Scholar 

  7. Anitescu C, Atroshchenko E, Alajlan N, Rabczuk T. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials & Continua, 2019, 59(1): 345–359

    Article  Google Scholar 

  8. Malenovský E. Using the modal method in rotor dynamic systems. International Journal of Rotating Machinery, 2003, 9(3): 181–196

    Article  Google Scholar 

  9. Guo H, Zhuang X, Rabczuk T. A deep collocation method for the bending analysis of Kirchhoff Plate. Computers, Materials & Continua, 2019, 59(2): 433–456

    Article  Google Scholar 

  10. Hong J, Chen X, Wang T F, Ma Y. Optimization of dynamics of non-continuous rotor based on model of rotor stiffness. Mechanical Systems and Signal Processing, 2019, 131: 166–182

    Article  Google Scholar 

  11. Weder M, Horisberger B, Monette C, Sick M, Dual J. Experimental modal analysis of disk-like rotor-stator system coupled by viscous liquid. Journal of Fluids and Structures, 2019, 88: 198–215

    Article  Google Scholar 

  12. Chipato E, Shaw A D, Friswell M I. Frictional effects on the nonlinear dynamics of an overhung rotor. Communications in Nonlinear Science and Numerical Simulation, 2019, 78: 104875

    Article  Google Scholar 

  13. Saxena A, Chouksey M, Parey A. Measurement of FRFs of coupled geared rotor system and the development of an accurate finite element model. Mechanism and Machine Theory, 2018, 123: 66–75

    Article  Google Scholar 

  14. Sharan A S, Somashekhar S H, Venkatesha C S, Karunanidhi S. Investigation on the critical parameters affecting the working design dynamics of a torque motor employed in an electro-hydraulic servovalve. Simulation, 2019, 95(1): 31–49

    Article  Google Scholar 

  15. Yadav H K, Upadhyay S H, Harsha S P. Study of effect of unbalanced forces for high speed rotor. Procedia Engineering, 2013, 64: 593–602

    Article  Google Scholar 

  16. Shad M R, Michon G, Berlioz A. Modeling and analysis of nonlinear rotordynamics due to higher order deformation bending. Applied Mathematical Modelling, 2011, 35(5): 2145–2159

    Article  MathSciNet  Google Scholar 

  17. Gunter E J. Understanding amplitude and phase in rotating machinery RODYN vibration analysis. In: Vibration Institute 33rd Annual Meeting. Harrisburg, PA: Vibration Institute, 2009

    Google Scholar 

  18. RK-4 Rotor Kit. Bently Nevada Asset Condition Monitroing. Minden, Nevada, 1631

  19. Ginsperg J. Advanced Engineering Dynamics. 2nd ed. Cambridge: Cambridge University Press, 1998

    Google Scholar 

  20. Yukio I, Toshio Y. Linear and Nonlinear Rotordynamics: A Modern Treatment with Applications. 2nd ed. Wiley-VCH Verlag & Co., 2012

  21. Butterworth J, Lee J H, Davidson B. Experimental determination of modal damping form full scale testing. In: The 13th World Conference on Earthquake Engineering. Bently Parkway South, 2004

  22. Singh B, Nanda B K. Estimation of damping in layered welded structures with unequal thickness. Shock and Vibration, 2012, 19(6): 1463–1475

    Article  Google Scholar 

  23. API 670. American Petroleum Institute Standard, Machinery Protection Systems. 5th ed. 2014

  24. Littler J D. An assessment of some of the different methods for estimating damping from full Scale testing. Journal of Wind Engineering and Industrial Aerodynamics, 1995, 57(2–3): 179–189

    Article  Google Scholar 

  25. Apuzzo A, Barretta R, Faghidian S A, Luciano R, Marotti de Sciarra F. Free vibrations of elastic beams by modified nonlocal strain gradient theory. International Journal of Engineering Science, 2018, 133: 99–108

    Article  MathSciNet  Google Scholar 

  26. Barretta R, Čanađija M, Luciano R, de Sciarra F M. Stress-driven modeling of nonlocal thermoelastic behavior of nanobeams. International Journal of Engineering Science, 2018, 126: 53–67

    Article  MathSciNet  Google Scholar 

  27. Barretta R, Ali Faghidian S, Luciano R, Medaglia C M, Penna R. Stress-driven two-phase integral elasticity for torsion of nanobeams. Composites. Part B, Engineering, 2018, 145: 62–69

    Article  Google Scholar 

  28. Apuzzo A, Barretta R, Luciano R, Marotti de Sciarra F, Penna R. Free vibrations of Bernoulli-Euler nano-beams by the stress-driven nonlocal integral model. Composites. Part B, Engineering, 2017, 123: 105–111

    Article  Google Scholar 

  29. Beer F B, Russell Johnston Jr. E, DeWolf J T, Mazurek D F. Mechanics of Materials. 7th ed. McGraw-Hill Education, 2014

  30. Kelm R D. Journal Bearing Analysis. Oak Brook: Vibration Institute Publications, 2004

    Google Scholar 

  31. Nicholas J C, Barrett L E. The effect of bearing support flexibility on critical speed prediction. ASLE Transactions, 1986, 29(3): 329–338

    Article  Google Scholar 

  32. Abduljabbar Z, ElMadany M M, Al-Bahkali E. On the vibration and control of a flexible rotor mounted on fluid film bearings. Journal of Computers and Structures, 1997, 65(5): 849–856

    Article  Google Scholar 

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Authors and Affiliations

  1. Saudi Arabian Oil Company (ARAMCO), Dhahran, 31311, Saudi Arabia

    Ali Alsaleh

  2. Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43337, Iran

    Hamid M. Sedighi

  3. Drilling Center of Excellence and Research, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43337, Iran

    Hamid M. Sedighi

  4. Mechanical and Industrial Engineering Department, Sultan Qaboos University, Al-Khoudh Muscat, Oman

    Hassen M. Ouakad

Authors
  1. Ali Alsaleh
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  2. Hamid M. Sedighi
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  3. Hassen M. Ouakad
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Correspondence to Hassen M. Ouakad.

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Alsaleh, A., Sedighi, H.M. & Ouakad, H.M. Experimental and theoretical investigations of the lateral vibrations of an unbalanced Jeffcott rotor. Front. Struct. Civ. Eng. 14, 1024–1032 (2020). https://doi.org/10.1007/s11709-020-0647-y

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  • DOI: https://doi.org/10.1007/s11709-020-0647-y

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