Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-16T01:17:10.075Z Has data issue: false hasContentIssue false
  • English
  • Français

Analytical Solution for Rotational Rub-Impact Plate Under Thermal Shock

Published online by Cambridge University Press:  20 April 2016

T.-Y. Zhao ,
H.-Q. Yuan ,
B.-B. Li ,
Z.-J. Li  and
L.-M. Liu
T.-Y. Zhao
Affiliation:
School of Mechanical Engineering & AutomationNortheastern UniversityShenyang, China
H.-Q. Yuan*
Affiliation:
School of ScienceNortheastern UniversityShenyang, China
B.-B. Li
Affiliation:
School of Mechanical Engineering & AutomationNortheastern UniversityShenyang, China
Z.-J. Li
Affiliation:
College of Resources and Civil EngineeringNortheastern UniversityShenyang, China
L.-M. Liu
Affiliation:
School of ScienceNortheastern UniversityShenyang, China
*
Corresponding author ([email protected], [email protected])
Get access

Abstract

The analysis method is developed to obtain dynamic characteristics of the rotating cantilever plate with thermal shock and tip-rub. Based on the variational principle, equations of motion are derived considering the differences between rubbing forces in the width direction of the plate. The transverse deformation is decomposed into quasi-static deformation of the cantilever plate with thermal shock and dynamic deformation of the rubbing plate under thermal shock. Then deformations are obtained through the calculation of modal characteristics of rotating cantilever plate and temperature distribution function. Special attention is paid to the influence of tip-rub and thermal shock on the plate. The results show that tip-rub has the characteristics of multiple frequency vibrations, and high frequency vibrations are significant. On the contrary, thermal shock shows the low frequency vibrations. The thermal shock makes the rubbing plate gradually change into low frequency vibrations. Because rub-induced vibrations are more complicated than those caused by thermal shock, tip-rub is easier to result in the destruction of the blade. The increasing friction coefficient intensifies vibrations of the rubbing plate. Minimizing friction coefficients can be an effective way to reduce rub-induced damage through reducing the surface roughness between the blade tip and the inner surface of the casing.

Keywords

Rotating plateRubbing modelThermal shockTheoretical solution
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 3 , June 2016 , pp. 297 - 311
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Muszynska, A., “Rotor to Stationary Element Rub-Related Vibration Phenomena in Rotating Machinery,” Shock and Vibration, 21, pp. 3–11 (1989).Google Scholar
2.K.Choy, F. and Padovan, J., “Nonlinear Transient Analysis of Rotor-Casing Rub Events,” Journal of Sound and Vibration, 113, pp. 529–545 (1987).CrossRefGoogle Scholar
3.Yao, M. H., Chen, Y. P. and Zhang, W., “Nonlinear Vibrations of Blade with Varying Rotating Speed,” Nonlinear Dynamics, 68, pp. 487–504 (2012).Google Scholar
4.Yoo, H. H. and Kim, S. K., “Flapwise Bending Vibration of Rotating Plates,” International Journal for Numerical Methods in Engineering, 55, pp. 785–802 (2002).Google Scholar
5.Legrand, M., Batailly, A., Magnain, B., Cartraud, P. and Pierre, C., “Full Three-Dimensional Investigation of Structural Contact Interactions in Turbo Machines,” Journal of Sound and Vibration, 331, pp. 2578–2601 (2012).CrossRefGoogle Scholar
6.Batailly, A., Legrand, M., Millecamps, A. and Garcin, F., “Numerical-Experimental Comparison in the Simulation of Rotor/Stator Interaction Through Blade-Tip/Abradable Coating Contact,” Journal of Engineering for Gas Turbines and Power, 134, p. 082504 (2012).CrossRefGoogle Scholar
7.Jiang, J., Ahrens, J. and Ulbrich, H., “A Contact Model of a Rotating Rubbing Blade. Proceedings of the 5th International Conference on Rotor Dynamics,” Darmstadt: International Federation for the Promotion of Mechanism and Machine Science Main, pp. 478–489 (1998).Google Scholar
8.Young, G., “Development of a General Predictive Model for Blade Tip/Shroud Interference; Interactive Forces,” Ph.D. Dissertation, the Ohio State University, Ohio, U.S. (2006).Google Scholar
9.Garza, J. W., “Tip Rub Induced Blade Vibrations: Experimental and Computational Results,” Ph.D. Dissertation, the Ohio State University, Ohio, U.S. (2006).Google Scholar
10.Ferguson, J. L., “A Moving Load Finite Element-Based Approach to Determining Blade Tip Forces During a Blade-on-Casing Incursion in a Gas Turbine Engine,” Ph.D. Dissertation, the Ohio State University, Ohio, U.S. (2008).Google Scholar
11.Millecamps, A., Brunel, J. F., Dufrenoy, P., Garcin, F. and Nucci, M., “Influence of Thermal Effects During Blade-Casing Contact Experiments,” ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, San Diego, California, U.S., pp. 855–862 (2009).Google Scholar
12.Padova, C., Barton, J., Dunn, M. G. and Manwaring, S., “Development of an Experimental Capability to Produce Controlled Blade Tip/Shroud Rubs at Engine Speed,” Journal of Turbomach, 127, pp. 726–735 (2005).Google Scholar
13.Padova, C., Barton, J., Dunn, M. G. and Manwaring, S., “Experimental Results From Controlled Blade Tip/Shroud Rubs at Engine Speed,” Journal of Turbomach, 129, pp. 713–723 (2007).Google Scholar
14.Sinha, S. K., “Non-Linear Dynamic Response of a Rotating Radial Timoshenko Beam with Periodic Pulse Loading at the Free-End,” International Journal of Non-Linear Mechanics, 40, pp. 113–149 (2005).Google Scholar
15.Sinha, S. K., “Combined Torsional-Bending-Axial Dynamics of a Twisted Rotating Cantilever Timoshenko Beam with Contact-Impact Loads,” Journal of Applied Mechanics, 74, pp. 505–522 (2007).Google Scholar
16.Lesaffre, N., Sinou, J. J. and Thouverez, F., “Contact Analysis of a Flexible Bladed-Rotor,” European Journal of Mechanics A—Solids, 26, pp. 541–557 (2007).Google Scholar
17.Lesaffre, N., Sinou, J. J. and Thouverez, F., “Stability Analysis of Rotating Beams Rubbing on an Elastic Circular Structure,” Journal of Sound and Vibration, 299, pp. 1005–1032 (2007).CrossRefGoogle Scholar
18.Batailly, A., Legrand, M., Cartraud, P. and Pierre, C., “Assessment of Reduced Models for the Detection of Modal Interaction Through Rotor Stator Contacts,” Journal of Sound and Vibration, 329, pp. 5546–5562 (2010).Google Scholar
19.Pereira, T. R., Engelen, A. H. and Pearson, G. A., “Response of Kelps from Different Latitudes to Consecutive Heat Shock,” Journal of Experimental Marine Biology and Ecology, 463, pp. 57–62 (2015).CrossRefGoogle Scholar
20.Sadowski, T. and Nakonieczny, K., “Thermal Shock Response of FGM Cylindrical Plates with Various Grading Patterns,” Composite Mater Science, 43, pp. 171–178 (2008).Google Scholar
21.Hein, J., Storm, J. and Kuna, M., “Numerical Thermal Shock Analysis of Functionally Graded and Layered Materials,” International Journal of Thermal Sciences, 60, pp. 41–51 (2012).Google Scholar
22.Song, Z. G. and Li, F. M., “Aerothermoelastic Analysis of Nonlinear Composite Laminated Panel with Aerodynamic Heating in Hypersonic Flow,” Mechanical Mater, 34, pp. 135–144 (2014).Google Scholar
23.Yoo, H. H. and Pierre, C., “Modal Characteristic of a Rotating Rectangular Cantilever Plate,” Journal of Sound and Vibration, 259, pp. 81–96 (2003).Google Scholar