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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])
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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 

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