Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics
Full Article - Open Access.
A COHESIVE ZONE MODEL FOR THE INVESTIGATION OF THE BREATHING MECHANISM OF TRANSVERSAL CRACKS IN ROTORS
Liong, R. T. ; Proppe, C. ;
Full Article:
The presence of a crack reduces the mean stiffness of the rotor system and introduces a stiffness variation during the revolution of the shaft. How the variable part of the rotor stiffness varies between a minimum (for a closed crack) and a maximum (for an open crack), depends on the so-called breathing mechanism. The breathing mechanism is known when the open and closed parts of the cracked area are known for all angular positions of the rotor. Here, finite element (FE) and multi-body simulation (MBS) is introduced. It is based on a representation of the fracture process zone by a cohesive zone model (CZM). First, the cracked elastic shaft with various relative crack depths is modelled by FE. As a second step, the FE model of the shaft is transferred into an MBS model in order to analyze the dynamic loads, due to the crack, and the inertia force acting during rotation at different rotating speeds. Finally, the vibration responses in the centroid of the shaft obtained from the MBS have been exported into the FE model in order to observe the breathing mechanism. This proposed technique provides a useful tool for the analysis of rotor systems containing cracks, reveals the shape of the open crack part during rotation and helps investigating the dynamic behaviour of cracked shafts.
Full Article:
Palavras-chave: Cohesive zone model, Breathing mechanism, Stiffness variation, Finite element, Multi-body simulation.,
Palavras-chave:
DOI: 10.5151/meceng-wccm2012-18800
Referências bibliográficas
- [1] Georgantzinos S.K., Anifantis N.K., “An insight into the breathing mechanism of a crack in a rotating shaft”. J. Sound and Vibration 318, 279-295, 2008.
- [2] Sabnavis G., Kirk R.G., Kasarda M., “Cracked shaft detection and diagnostics: a literature review”. Shock- Vibration Digest 36(4), 287-296, 2004.
- [3] Kumar V., Rastogi C., “A brief review on dynamics of a cracked rotor”. Int. J. Rotating Machinery, 1-6, 2009.
- [4] Bachschmid N., Pennachi P., Tanzi E., “Some remarks on breathing mechanism, on non-linear effects and on slant and helicoidal cracks”. Mechanical Systems and Signal Processing 22, 879-904, 2008.
- [5] Bachschmid N., Pennachi P., Tanzi E., “ Cracked rotors”. Springer-Verlag Berlin, 109-144, 2011.
- [6] Andrieux S., Var´e C., “A 3D cracked beam model with unilateral contact. Application to rotors”. European J. Mechanics A/Solids 21, 793-810, 2005.
- [7] Var´e C., Andrieux S., “Modeling of a cracked beam section under bending”. Proc. the 18th Int. Conf. on Structural Mechanics in Reactor Technolohy (SMiRT 18, Beijing, China, 2005.
- [8] Arem S.A., Maitournam H., “A cracked beam finite element for rotating shaft dynamics and stability analysis”. J. Mechanics and Structures 3(5), 893-910, 200
- [9] Bouboulas A.S., Anifantis N.K., “Finite element modeling of a vibrating beam with a breathing crack: observations on crack detection”. Structural Health Monitoring, 1-15, 2010.
- [10] Dugdale D.S., “Yielding of steel sheets containing slits”. J. Mechanics and Physics Solid 7, 100-104, 1960.
- [11] Barenblatt G.I., “The mathematical theory of equilibrium crack in brittle fracture”. Adv. Applied Mechanics 7, 55-129, 1962.
- [12] Siegmund T., BrocksW., “Tensile decohesion by local failure criteria”. Technische Mechanik, Band 18 Heft 4, 261-270, 1998.
- [13] Siegmund T., Brocks W., “A numerical study on the correlation between the work of separation and the dissipation rate in ductile fracture”. Eng. Fracture Mechanics 67, 139-154, 2000.
- [14] Anvari M., Scheider I., Thaulow C., “Simulation of dynamic ductile crack growth using strain-rate and triaxiality-dependent cohesive elements”. Eng. Fracture Mechanics 73, 2210-2228, 2006.
- [15] Scheider I., “Derivation of separation laws for cohesive models in the course of ductile fracture”. Eng. Fracture Mechanics 76, 1450-1459, 2009.
- [16] Banerjee A., Manivasagam R., “Triaxiality dependent cohesive zone model”. Eng. Fracture Mechanics 76, 1761-1770, 2009.
- [17] Shet C.. Chandra N., “Analysis of energy balance when using cohesive zone models to simulate fracture processes”. ASME 124, 440-450, 2002.
- [18] Li H., Chandra N., “ Analysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models”. Int. J. Plasticity 19, 849-882, 2003.
- [19] Bachschmid N., Pennachi P., Tanzi E., “On the evolution of vibrations in cracked rotors. ”. Proc. the 8th IFToMM Int. Conf. on Rotor Dynamics, Seoul, Korea, 2010.
- [20] Darpe A.K., Gupta K., Chawla A., “Coupled bending, longitudinal and torsional vibrations of a cracked rotor”. J. Sound and Vibration 269(1-2), 33-60, 2004.
- [21] Jun O.S, Eun H.J., Earmme Y.Y:, Lee C.W., “Modelling and vibration analysis of a simple rotor with a breathing crack”. J. Sound and Vibration 155(2), 273-290, 1992.
- [22] Sinou J.J., Lees A.W., “The influence of cracks in rotating shaft”. J. Sound and Vibration 285(4-5), 1015- 1037, 2005.
- [23] Shih Y.S., Chen J.J., “Analysis of fatigue crack growth on a cracked shaft”. Int. J. Fatigue 19(6), 477-485, 1997.
- [24] Liong R.T., Proppe C., “Application of the cohesive zone model to the analysis of a rotor with a transverse crack”. Proc. the 8th Int. Conf. on Structural Dynamics, Leuven, Belgium, 2011.
Como citar:
Liong, R. T.; Proppe, C.; "A COHESIVE ZONE MODEL FOR THE INVESTIGATION OF THE BREATHING MECHANISM OF TRANSVERSAL CRACKS IN ROTORS", p. 2288-2301 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1].
São Paulo: Blucher,
2014.
ISSN 2358-0828,
DOI 10.5151/meceng-wccm2012-18800
últimos 30 dias | último ano | desde a publicação
downloads
visualizações
indexações