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Optimum Design of Damped Vibration Absorber for Rotationally Periodic Structures

Published online by Cambridge University Press:  14 April 2016

A. A. Ghaderi ,
A. Mohammadzadeh  and
M. N. Bahrami
A. A. Ghaderi
Affiliation:
Department of Mechanical and Aerospace Engineering Science and Research Branch Islamic Azad University Tehran, Iran
A. Mohammadzadeh*
Affiliation:
Department of Mechanical and Aerospace Engineering Science and Research Branch Islamic Azad University Tehran, Iran
M. N. Bahrami
Affiliation:
Department of Mechanical and Aerospace Engineering Science and Research Branch Islamic Azad University Tehran, Iran
*
*Corresponding author ([email protected])

Abstract

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In this study, a damped centrifugally driven order-tuned vibration absorber designed for vibration reduction in rotating flexible structures, bladed disk assemblies and blisk such as turbine blades, compressor and fan blades, pump and helicopter rotor blades etc. during steady operation with constant speed and under engine order excitation (e.o excitation). Effect of mistuning is disregarded. System is assumed with fully cyclic symmetry. The disk is imposed as being rigid. Elastic behavior for blades is supposed. A model with two degree of freedom is extracted for the blades. Each blade is fitted with nominally identical damped order-tuned vibration absorber that is moved in a circular path. Aerodynamic damping and coupling effects between the blades are considered. Optimal values of parameters of the absorber, to suppress blade vibration especially in resonance condition, are derived by Genetic Algorithm (GA) and MATLAB software. H2 optimization criterion is used. It is observed that with the deviation of each parameter from the optimal condition, the system response is moved away from the ideal design situation and all of the absorbers’ design parameters have definite effects on the system frequency response and on the dissipated energy during vibration. Therefore, ignorance of the effect of one of those parameters (which was happened in literature) affected the system response completely. Literature is reviewed and validity of the results is confirmed.

Keywords

Order tuned vibration absorberDampingRotationally periodic structureOptimization
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 4 , August 2016 , pp. 381 - 390
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

References

1. Bhagi, L. K., Gupta, P. and Rastogi, V., “Fractographic Investigations of the Failure of L-1 Low- Pressure Steam Turbine Blade,” Case Studies in Engineering Failure Analysis, 1, pp. 72–78 (2013).Google Scholar
2. Yang, B., “Blade Containment Evaluation of Civil Aircraft Engines,” Chinese Journal of Aeronautics, 26, pp. 9–16 (2013).Google Scholar
3. Chou, J. S., Chiu, C. K., Huang, I. K. and Chi, K. N., “Failure Analysis of Wind Turbine Blade Under Critical Wind Loads,” Engineering Failure Analysis, 27, pp. 99–118 (2013).CrossRefGoogle Scholar
4. Faudot, C. and Dahlhaug, O. G., “Prediction of Wave Loads on Tidal Turbine Blades,” Energy Procedia, 20, pp. 116–133 (2012).CrossRefGoogle Scholar
5. Poursaeidi, E., Babaei, A., Mohammadi Arhani, M. R. and Arablu, M., “Effects of Natural Frequencies on the Failure of Rl Compressor Blades,” Engineering Failure Analysis, 25, pp. 304–315 (2012).CrossRefGoogle Scholar
6. Rao, R. and Dutta, B. K., “Vibration Analysis for Detecting Failure of Compressor Blade,” Engineering Failure Analysis, 25, pp. 211–218. (2012).Google Scholar
7. Astle, C., et al., “Timber for Small Wind Turbine Blades,” Energy for Sustainable Development, 17, pp. 671–676 (2013).Google Scholar
8. Taplak, H. and Parlak, M., “Evaluation of Gas Turbine Rotor Dynamic Analysis Using the Finite Element Method,” Measurement, 45, pp. 1089–1097. (2012).Google Scholar
9. Luo, R., “Free Transverse Vibration of Rotating Blades in a Bladed Disk Assembly,” Acta Mechanics 223, pp. 1385–1396 (2012).CrossRefGoogle Scholar
10. Ewins, D. J., “Vibration Characteristics of Bladed Disc Assemblies,” Journal of Mechanical Engineering Science, 15, pp. 165–186 (1973).CrossRefGoogle Scholar
11. Chellil, A., Noura, A., Lecheba, S., Kebirb, H. and Chevalier, Y., “Impact of the Fuselage Damping Characteristics and the Blade Rigidity on the Stability of Helicopter,” Aerospace Science and Technology, 29, pp. 235–252 (2013).Google Scholar
12. Kaneko, Y., Ohta, M., Mori, K. and Ohyama, H., “Study on Vibration Response Reduction of Bladed Disk by Use of Asymmetric Vane Spacing,” International Journal of Gas Turbine, Propulsion and Power Systems, 4, pp. 35–42 (2012).CrossRefGoogle Scholar
13. Rastogi, V., Kumar, V. and Bhagi, L. K., “Dynamic Modeling of Underplateform Damper Used in Turbomachinery,” International Scholarly and Scientific Research & Innovation, 6, pp. 460–469 (2012).Google Scholar
14. Pennacchi, P., Chatterton, S., Bachschmid, N., Pesatori, E. and Turozzi, G., “A Model to Study the Reduction of Turbine Blade Vibration Using the Snubbing Mechanism,” Mechanical Systems and Signal Processing, 25, pp. 1260–1275 (2010).CrossRefGoogle Scholar
15. Hollkamp, J. J., Bagley, R. L. and Gordon, R.W., “A Centrifugal Pendulum Absorbers for Rotating Hollow Engine Blades,” Journal of Sound and Vibration, 219, pp. 539–549 (1999).Google Scholar
16. Shaw, S. W. and Pierre, C., “The Dynamic Response of Tuned Impact Absorbers for Rotating Flexible Structures,” Journal of Computational and Nonlinear Dynamics, 1, pp. 13–25 (2006).Google Scholar
17. Olson, B. J., “Order-Tuned Vibration Absorbers for Systems with Cyclic Symmetry with Applications to Turbomachinery,” Ph.D. Dissertation, Department of Mechanical Engineering, Michigan State University, Michigan, U.S.A. (2006).Google Scholar
18. Gozen, S., Olson, B. J., Shaw, S. W. and Pierre, C., “Resonance Suppression in Multi-Dof Rotating Flexible Structures Using Order-Tuned Absorbers,” Journal of Vibration and Acoustics, 134, pp. 845–854 (2012).CrossRefGoogle Scholar
19. Asami, T., Nishihara, O. and Baz, A. M., “Analytical Solutions to H∞ and H2 Optimization of Dynamic Vibration Absorbers Attached to Damped Linear Systems,” Journal of Vibration and Acoustics, 124, pp. 284–295 (2002).CrossRefGoogle Scholar
20. Duffy, K. P., Bagley, R. L. and Mehmed, O., “On a Self-Tuning Impact Vibration Damper for Rotating Turbomachinery,” Technical Report, National Aeronautics and Space Administration (2000).Google Scholar