An investigation the effects of geometric tolerances on the natural frequencies of rotating shafts

Document Type: Technical Brief

Authors

1 Amirkabir University of Technology

2 Ferdowsi University of Mashhad

Abstract

This paper examines the effects of geometric tolerances on the natural frequencies of rotating shafts. In order to model the tolerances, a code is written in MATLAB 2013 that produces deviated points. Deviated points are controlled by different geometric tolerances, including cylindricity, total run-out and coaxiality tolerances. Final surfaces and models passing through the points are created using SolidWorks 2013 and finally modal analysis is carried out with FE software. It is observed whenever the natural frequency is higher or the geometric tolerances are greater, natural frequencies of the real and ideal shafts are more distant. Also, the difference percentage between ideal and real frequencies is investigated. The results show that the percentage value is approximately constant for every mode shapes.

Keywords

Main Subjects

Xu, M., Marangoni, R. D., “Vibration Analysis Of A Motor-Flexible Coupling-Rotor System Subject To Misalignment And Unbalance, Part I: Theoretical Model And Analysis”, Journal of Sound and Vibration, Vol. 176, No. 5, pp. 663-679, 1994.

[1]      

Xu, M., Marangoni, R. D., “Vibration Analysis Of A Motor-flexible Coupling-Rotor System Subject To Misalignment And Unbalance, Part II: Experimental Validation”, Journal of Sound and Vibration, Vol. 176, No. 5, pp. 681-691, 1994.

[2]      

Lee, Y. S., Lee, C. W., “Modelling and Vibration Analysis of Misaligned Rotor-Ball Bearing Systems”, Journal of Sound and Vibration, Vol. 224, No. 1, pp. 17-32, 1999.

[3]      

Patel, T. H., Darpe, A. K., “Vibration response of misaligned rotors”, Journal of Sound and Vibration, Vol. 325, No. 3, pp.609-628, 2009.

[4]      

Patel, T. H., Darpe, A. K., “Experimental investigations on vibration response of misaligned rotors”, Mechanical Systems and Signal Processing, Vol. 23, No. 7, pp. 2236-2252, 2009.

[5]      

Dimarogonas, A. D., Papadopoulos, C. A., “Vibration of Cracked Shafts in Bending”, Journal of Sound and Vibration, Vol. 91, No. 4, pp. 583-593, 1983.

[6]      

Huang, S. C., Huang, Y. M., Shieh, S. M., “Vibration And Stability Of A Rotating Shaft Containing A Transverse Crack” Journal of Sound and Vibration, Vol. 162, No. 3, pp. 387-401, 1993.

[7]      

Flowers, G. T., Fansheng Wu, “Disk/Shaft Vibration Induced by Bearing Clearance Effects: Analysis and Experiment”, ASME Journal of Vibration and Acoustics, Vol. 118, No. 2, pp. 204-208, 1996.

[8]      

Akturk, N., “Some Characteristic Parameters Affecting the Natural Frequency of a Rotating Shaft Supported by Defect-Free Ball Bearings”, Journal of Multi-Body Dynamics, Vol. 217, No. 2, pp. 145-151, 2003.

[9]      

Henzold, G.,Handbook of Geometrical Tolerancing: Design, Manufacturing and Inspection, John Wiley & Sons, New York, 1999.

[10]  

ISO 1101,Geometrical Tolerancing, International Organization For Standardization, Switzerland, 1stEdition, 1983, See also URL http://www.iso.org

[11]  

ASME Y14.5, Dimensioning and Tolerancing, The American Society of Mechanical Engineers, New York, 1994, See also URL https://www.asme.org

[12]  

Kolar, J. W., “ETH Zurich Researchers and Industry Break World Record”, On the WWW, November, 2008, URL http://www.eurekalert.org.

[13]  

Swanson, E., Powell, C. D., Weissman, S., “A Practical Review of Rotating Machinery Critical Speeds and Modes”, Journal of Sound and Vibration, Vol. 12, No. 11, pp. 91-100, 1991.

[14]  

Thomson, W. T., Mechanical Vibration, George Allen and Unwin, Australia, 1st Edition, 1950.

[15]  

Soong, T. T., Fundamentals of Probability and Statistics for Engineers, John Wiley and Sons, New York, 2004.

[16]