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Impact vibration characteristics of a shrouded blade with asymmetric gaps under wake flow excitations

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Abstract

The vibro-impact mechanism of a rotating shrouded blade with asymmetric gaps is investigated. The Frobenius method is employed to determine the dynamic frequencies and corresponding mode functions of the shrouded blade under the action of dynamic stiffness. The mode functions are used to truncate the governing partial differential equation of the shrouded blade to ordinary differential equations by using the Galerkin method. Taking into account the influence of the rotating speed, the contact stiffness of adjacent blades is assumed to be an equivalent contact spring stiffness which is determined by the bending dynamic stiffness of the blade. Then the average method is employed to obtain the dynamic responses of the primary, the sub-harmonic and the super-harmonic resonances of the shrouded blade with wake flow excitation, respectively. Finally, the dynamical responses of a shrouded blade with a set of typical material constants and geometrical parameters are given to illustrate the influence of the blade shroud gaps on the vibration amplitude.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 11002037.

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, PO Box 137, Harbin, 150001, China

    Shiming Chu, Dengqing Cao, Shupeng Sun & Jianzhi Pan

  2. School of Science, Harbin Engineering University, Harbin, 150001, China

    Ligang Wang

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  1. Shiming Chu
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  2. Dengqing Cao
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  3. Shupeng Sun
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Correspondence to Dengqing Cao.

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Chu, S., Cao, D., Sun, S. et al. Impact vibration characteristics of a shrouded blade with asymmetric gaps under wake flow excitations. Nonlinear Dyn 72, 539–554 (2013). https://doi.org/10.1007/s11071-012-0732-4

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  • DOI: https://doi.org/10.1007/s11071-012-0732-4

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