Crack modeling of rotating blades with cracked hexahedral finite element method

Dynamic analysis is the basis in investigating vibration features of cracked blades, where the features can be applied to monitor health state of blades, detect cracks in an early stage and prevent failures. This work presents a cracked hexahedral finite element method for dynamic analysis of cracked blades, with the purpose of addressing the contradiction between accuracy and efficiency in crack modeling of blades in rotor system. The cracked hexahedral element is first derived with strain energy release rate method, where correction of stress intensity factors of crack front and formulation of load distribution of crack surface are carried out to improve the modeling accuracy. To consider nonlinear characteristics of time-varying opening and closure effects caused by alternating loads, breathing function is proposed for the cracked hexahedral element. Second, finite element method with contact element is analyzed and used for comparison. Finally, validation of the cracked hexahedral element is carried out in terms of breathing effects of cracked blades and natural frequency in different crack depths. Good consistency is acquired between the results with developed cracked hexahedral element and contact element, while the computation time is significantly reduced in the previous one. Therefore, the developed cracked hexahedral element achieves good accuracy and high efficiency in crack modeling of rotating blades.

[1]  Jonathan M. Nichols,et al.  The Effects of Crack Size on Crack Identification in a Freely Vibrating Plate Using Bayesian Parameter Estimation , 2010 .

[2]  Jörg Wauer Vibrations of Cracked Rotating Blades , 1992 .

[3]  Ji-Hwan Kim,et al.  Rotating composite beam with a breathing crack , 2003 .

[4]  Akira Saito,et al.  Estimation and veering analysis of nonlinear resonant frequencies of cracked plates , 2009 .

[5]  Genki Yagawa,et al.  Finite element analysis of stress intensity factors for plane extension and plate bending problems , 1979 .

[6]  Jean-Jacques Sinou,et al.  The vibration signature of chordal cracks in a rotor system including uncertainties , 2012 .

[7]  Qinkai Han,et al.  Dynamic analysis of a geared rotor system considering a slant crack on the shaft , 2012 .

[8]  Marek Krawczuk,et al.  A finite plate element for dynamic analysis of a cracked plate , 1994 .

[9]  Fulei Chu,et al.  Local flexibility of an elliptical cracked shaft under bending and tension , 2011 .

[10]  Fulei Chu,et al.  Parametric instability of a rotor-bearing system with two breathing transverse cracks , 2012 .

[11]  M. Kısa,et al.  Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods , 1998 .

[12]  Andrew D. Dimarogonas,et al.  A finite element of a cracked prismatic beam for structural analysis , 1988 .

[13]  M. Kısa,et al.  THE EFFECTS OF CLOSURE OF CRACKS ON THE DYNAMICS OF A CRACKED CANTILEVER BEAM , 2000 .

[14]  N. K. Anifantis,et al.  Finite element modeling of a vibrating beam with a breathing crack: observations on crack detection , 2011 .

[15]  Zdzislaw Mazur,et al.  Steam turbine blade failure analysis , 2008 .

[16]  B. Muñoz-Abella,et al.  Static behaviour of a shaft with an elliptical crack , 2011 .

[17]  S. Cheng,et al.  VIBRATIONAL RESPONSE OF A BEAM WITH A BREATHING CRACK , 1999 .

[18]  Marco Boniardi,et al.  Failure analysis of a third stage gas turbine blade , 2011 .

[19]  Kemal Mazanoglu,et al.  A frequency based algorithm for identification of single and double cracked beams via a statistical approach used in experiment , 2012 .

[20]  Ma Venkataswamy,et al.  Failure of turbine rotor blisk of an aircraft engine , 2002 .

[21]  Hiroshi Tada,et al.  The stress analysis of cracks handbook , 2000 .

[22]  Paolo Pennacchi,et al.  Some remarks on breathing mechanism, on non-linear effects and on slant and helicoidal cracks , 2008 .

[23]  Paolo Pennacchi,et al.  A sensitivity analysis of vibrations in cracked turbogenerator units versus crack position and depth , 2010 .

[24]  Marek Krawczuk,et al.  Hexahedral finite element with an open crack , 1993 .

[25]  Ranjan Ganguli,et al.  Vibration characteristics of a rotating blade with localized damage including the effects of shear deformation and rotary inertia , 1990 .

[26]  Akira Saito,et al.  Effects of a Cracked Blade on Mistuned Turbine Engine Rotor Vibration , 2009 .

[27]  M. Petyt,et al.  Introduction to Finite Element Vibration Analysis , 2016 .

[28]  Fulei Chu,et al.  Numerical and experimental investigations of flexural vibrations of a rotor system with transverse or slant crack , 2009 .

[29]  Marek Krawczuk,et al.  A new finite element for the static and dynamic analysis of cracked composite beams , 1994 .