Free and Forced Vibrations of a Shaft and Propeller Using the Couple of Finite Volume Method, Boundary Element Method and Finite Element Method
Authors
Abstract
The main objective of this paper is to provide an applied algorithm for analyzing propeller-shaft vibrations in marine vessels. Firstly an underwater marine vehicle has been analyzed at different speed in unsteady condition using the finite volume method. Based on the results of this analysis, flow field of marine vehicle (wake of stern) and velocity inlet to the marine propeller is extracted at different times. Propeller inlet flow field is applied in the boundary element code and using this code, marine propeller has been analyzed in unsteady state. In continue, main / lateral forces and moments over the propeller are extracted. Then the data obtained from the boundary element code alongwith exact geometry of the propeller and shaft have been studied, using finite element code. Natural and forced frequency of the propeller have been determined in various modes of vibration. According to obtained data from Finite Element Method (FEM) numerical analysis, maximum displacement of propeller is for displacement of the propeller tip in forced vibration state
Keywords
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2. Aleyaasin, M., Ebrahimi, M., and Whalley, R., “Flexural Vibration of Rotating Shafts by Frequency Domain Hybrid Modelling”, Computers and Structures, Vol. 79, pp. 319-331, 2001.
3. Kinns, R., and Bloor, C.D., “Hull Vibration Excitation Due to Monopole and Dipole Propeller Sources”, Journal of Sound and Vibration, Vol. 270, pp. 951-980, 2004.
4. Dylejko, P. G., Kessissoglou, N. J., Tso, Y. and Norwood, Ch. J., “Optimisation of a Resonance Changer to Minimise the Vibration Transmission in Marine Vessels”, Journal of Sound and Vibration, Vol. 300, pp. 101-116, 2007.
5. Chen, G. H., and Shih, Y. Sh., “Basic Design of a Series Propeller with Vibration Consideration by Genetic Algorithm”, Journal of Marine Science and Technology, Vol. 12, pp. 119-129, 2007.
6. Mutasher, S. A., “Prediction of the Torsional Strength of the Hybrid Aluminum/Composite Drive Shaft”, Journal of Materials and Design, Vol. 30, pp. 215-220, 2009.
7. Merz, S., Kessissoglou, N., Kinns, R., and Marburg, S., “Minimisation of the Sound Power Radiated by a Submarine through Optimisation of Its Resonance Changer”, Journal of Sound and Vibration, Vol. 329. pp. 980-993, 2010
8. Verichev, N. N., “Chaotic Torsional Vibration of Imbalanced Shaft Driven by a Limited Power Supply”, Journal of Sound and Vibration, Vol. 331, pp. 384-393, 2012.
9. Hong, Y., He, X. D., and Wang, R.G., “Vibration and Damping Analysis of a Composite Blade”, Journal of Materials and Design, Vol. 34, pp. 98-105, 2012.
10. Wei, Y. S., Wang, Y.Sh., Chang, Sh. P., and Fu, J., “Numerical Prediction of Propeller Excited Acoustic Response of Submarine Structure Based on CFD, FEM and BEM”, Journal of Hydrodynamics, Vol. 24, No. 2, pp. 207-216, 2012.
11. Versteeg, H. K., and Malalasekera, W., “An Introduction to Computational Fluid Dynamics”, First ed., Longman Malaysia, 1995.
12. Boudet, J., Casalino, D., Jacob, M. C., and Ferrand, P. M, “Unsteady RANS Computations of the Flow Past an Airfoil in the Wake of a Rod”, ASME 2002 Joint U.S.-European Fluids Engineering Division Conference, Montreal, Canada, July, 14-18, 2002.
13. Hess, J. L. and Valarezo, W. O., “Calculation of Steady Flow About Propeller Using a Surface Panel Method”, Journal of Propulsion Power, Vol. 1, No. 6, pp. 470-476, 1985.
14. Hsin, C., “Development and Analysis of Panel Methods for Propellers in Unsteady Flow”, Ph.D Thesis, Massachusetts Institute of Technology- MIT, September 1990.
15. Fine, N., “Non-Linear Analysis of Cavitating Propellers in Nonuniform Flow”, Ph.D Thesis, Massachusetts Institute of Technology- MIT, October 1992.
16. Kim, Y. G., Lee, C. S., and Suh, J. C., “Surface Panel Method for Prediction of Flow Around 3d Steady or Unsteady Cavitating Hydrofoil”, Proceedings of the 2nd International Symposium on Cavitation , Tokyo, pp. 113-120, April 1994.
17. Kim, Y. G., and Lee, C. S., “Prediction of Unsteady Performance on Marine Propellers with Cavitation Using a Surface Panel Method”, Proceedings of the 21st Symposium on Naval Hydrodynamics, Norway, June 1996.
18. Vaz, G. “Modelling of Sheet Cavitation on Hydrofoils and Marine Propellers”, Ph.D Thesis Technical University of Lisbon -IST, 2005.
19. Hess, J. T., and Smith, A. M., “Calculation of Nonlifting Potential Flow About Arbitrary Three-Dimentional Bodies”, Journal of Ship Research, Vol. 8, No. 2, 1964.
20. Morino, L., and Kuo, C., “Subsonic Potential Aerodynamics for Complex Configurations: a General Theory”, American Institute of Aeronautics and Astronautics , Vol. 12, No. 2, pp. 191-197, 1974.
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