Optimal Vibration Reduction of the Flexible Shaft-Disk-Blades System Using a Set of Nonlinear Energy Sink

Document Type : Research Article

Authors

1 PhD Candidate, Faculty of Mechanical & Energy Engineering, Shahid Beheshti University, Tehran, Iran

2 Faculty of Mechanical & Energy Engineering,Shahid Beheshti University

3 Assistant professor, Faculty of Mechanical & Energy Engineering, Shahid Beheshti University, A.C., Tehran, Iran

4 Department of Mechanical Rotary equipment, Niroo Reseach Institute, Tehran, Iran

Abstract

In this paper, the application of nonlinear energy sinks for indirect vibration reduction of the blades in a flexible shaft-disk-blades system of a real steam turbine is conducted. 37 packets of seven-connected blades are mounted on the disk. The cyclic symmetric finite element analysis is employed to perform frequency analysis of this system. For the 11th mode, which is a combination of the second bending mode of shaft and the third bending mode of disk-blades, a two degrees of freedom reduced order model is identified. Nonlinear energy sinks with a small mass, an essential nonlinear stiffness and a linear damping are installed on the reduced order model in the anti-node position of the disk. The Runge-Kutta method is used to solve the nonlinear equations of motion numerically. Optimum stiffness and damping of the absorbers are determined to minimize the vibration amplitude of the blades. The results show that the occurrence of strongly modulated response around the resonance leads to the desired vibration reduction of the blades. If the absorbers have large nonlinear stiffness or low damping, a saddle-node bifurcation and a wide island is appeared in the negative detuning frequencies, and the blade could experience large amplitude periodic oscillation.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 52, Issue 12
March 2021
Pages 3425-3444

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