Skip to main content Accessibility help

Analytical Solution for Rotational Rub-Impact Plate Under Thermal Shock

  • T.-Y. Zhao (a1), H.-Q. Yuan (a2), B.-B. Li (a1), Z.-J. Li (a3) and L.-M. Liu (a2)...


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.


Corresponding author


Hide All
1.Muszynska, A., “Rotor to Stationary Element Rub-Related Vibration Phenomena in Rotating Machinery,” Shock and Vibration, 21, pp. 311 (1989).
2.K.Choy, F. and Padovan, J., “Nonlinear Transient Analysis of Rotor-Casing Rub Events,” Journal of Sound and Vibration, 113, pp. 529545 (1987).
3.Yao, M. H., Chen, Y. P. and Zhang, W., “Nonlinear Vibrations of Blade with Varying Rotating Speed,” Nonlinear Dynamics, 68, pp. 487504 (2012).
4.Yoo, H. H. and Kim, S. K., “Flapwise Bending Vibration of Rotating Plates,” International Journal for Numerical Methods in Engineering, 55, pp. 785802 (2002).
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. 25782601 (2012).
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).
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. 478489 (1998).
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).
9.Garza, J. W., “Tip Rub Induced Blade Vibrations: Experimental and Computational Results,” Ph.D. Dissertation, the Ohio State University, Ohio, U.S. (2006).
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).
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. 855862 (2009).
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. 726735 (2005).
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. 713723 (2007).
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. 113149 (2005).
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. 505522 (2007).
16.Lesaffre, N., Sinou, J. J. and Thouverez, F., “Contact Analysis of a Flexible Bladed-Rotor,” European Journal of Mechanics A—Solids, 26, pp. 541557 (2007).
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. 10051032 (2007).
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. 55465562 (2010).
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. 5762 (2015).
20.Sadowski, T. and Nakonieczny, K., “Thermal Shock Response of FGM Cylindrical Plates with Various Grading Patterns,” Composite Mater Science, 43, pp. 171178 (2008).
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. 4151 (2012).
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. 135144 (2014).
23.Yoo, H. H. and Pierre, C., “Modal Characteristic of a Rotating Rectangular Cantilever Plate,” Journal of Sound and Vibration, 259, pp. 8196 (2003).



Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed