| DIAGNOSTIC
OF ROTATING MACHINERY |
Crack in Rotors
[1] O.N.L. Abraham, J.A. Brandon, and A.M. Cohen, Remark
on the determination of compliance coefficients at the crack section of
a uniform beam with circular cross-section, "Journal of Sound and
Vibration", 169/4, 1994, pp. 570-574.
[2] N. Bachschmid, A method for calculating the dynamic behavior of cracked shafts, in "Proceedings 6th IFToMM Conference", Wiley East, New Delhi, vol. 2, 1983, pp. 1343-1346.
[3] N. Bachschmid, G. Diana, and B. Pizzigoni The influence of unbalance on cracked rotors, in "Vibrations of rotating machinery, Institution of Mechanical Engineers", 1984, pp. 193-198.
[4] N. Bachschmid, P. Pennacchi, E. Tanzi, and A. Vania, Statical and Dynamical Behaviour of Rotors with Transversal Crack - Part I: Comparison between Different Models, in "Proc. of XIV Congresso Nazionale AIMETA, Como, 6-9 October 1999", 1999, pp. 1-12.
[5] N. Bachschimd, P. Pennacchi, E. Tanzi, and S. Audebert, Identification of Tranverse Cracks in Rotors Systems, to be printed in "Proceedings of ISROMAC-8 Conference, 26-30 March 2000", Honolulu, 2000, pp. 1-11.
[6] L. Changhe, O. Bernasconi, and N. Xenophontidis, A generalized approach to the dynamics of cracked shafts, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 111, 1989, pp. 257-263.
[7] L.W. Chen and H.K. Chen, Stability analyses of a cracked shaft subjected to the end load, "Journal of Sound and Vibration", 188/4, 1995, pp. 487-513.
[8] T.G. Chondros, A.D. Dimarogonas, and J. Yao, A consistent cracked bar vibration theory, "Journal of Sound and Vibration", 200/3, 1997, pp. 303-313.
[9] W.G.R. Davies and I.W. Mayes, The vibrational behavior of a multi-shaft, multi-bearing system in the presence of a propagating transverse crack, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 106, 1984, pp. 146-153.
[10] G. Diana, N. Bachschmid, and F. Angeli, An on-line Crack Detection Method for Turbogenerator Rotors, in "IFToMM International Conference on Rotordynamics", Tokyo, 1986.
[11] A.D. Dimarogonas, Dynamic response of cracked rotors, General Electric Company, New York, 1970.
[12] A.D. Dimarogonas, Vibration Engineering, West Publishers, St. Paul, 1976.
[13] A.D. Dimarogonas, A brief history of rotor dynamics. Rotordynamics, vol. 92, Springer-Verlag, Venice, 1992.
[14] A.D. Dimarogonas, Vibration of cracked structures. A state of the art review, "Engineering Fracture Mechanics", 55, 1996, pp. 831-857.
[15] A.D. Dimarogonas and G. Massouros, Torsional vibration of a shaft with a circumferential crack, "Engineering Fracture Mechanics", 15/3-4, 1980, pp. 439-444.
[16] A.D. Dimarogonas and S.A. Paipetis, Analytical methods in rotor dynamics, Applied Science Publishers, London, 1983.
[17] A.D. Dimarogonas and C.A. Papadopoulos, Vibration of cracked shafts in bending, "Journal of Sound and Vibration", 91/4, 1983, pp. 583-593.
[18] R. Gasch, Dynamic behaviour of a simple rotor with a cross-sectional crack, in "Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery", C178/76, 1976.
[19] R. Gasch, A survey of the dynamic behaviour of a simple rotating shaft with a transverse crack, "Journal of Sound and Vibration", 160/2, 1993, pp. 131-332.
[20] R. Gasch, M. Person, and B. Weitz, Dynamic behaviour of the Laval rotor with a cracked hollow shaft. A comparison of crack models, in "Tech. IMECH Conference Vibrations in Rotating Machinery, September 1988", Edinburgh, C314/88, 1988.
[21] B. Grabowski, The vibrational behavior of a turbine rotor containing a transverse crack, "Journal of Mechanical Design", 102, 1980, pp. 140-146.
[22] B. Grabowski, Shaft vibrations in turbomachinery excited by cracks, in "2nd workshop on rotordynamic instability problems in high-performance turbomachinery", Texas A&M University, NASA Conference Publication 2250, 1982, pp. 81-97.
[23] B. Grabowski, The vibrational behavior of a rotating shaft containing a transverse crack, in "Dynamics of rotors - Stability and system identification", CISM courses and lectures n. 273, Springer-Verlag, New York, 1984, pp. 423-465.
[24] B. Grabowski and O. Mahrenholtz, Theoretical and experimental investigations of shaft vibrations in turbomachinery excited by cracks, in " IFToMM International Conference on Rotordynamic problems in power plants", Rome, 1982, pp. 507-514.
[25] T.A. Henry and B.E. Okah-Avae, Vibrations in cracked shafts, Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery, C162/76, 1976.
[26] S. C. Huang, Y. M. Huang, and S. M. Shieh, Vibration and stability of a rotating shaft containing a transverse crack, "Journal of Sound and Vibration", 162, 1993, pp. 387-401.
[27] M. Ichimonji and S. Watanabe, The dynamics of a rotor system with a shaft having a slant crack, "JSME International Journal", Series III, 31/4, 1988, pp. 712-718.
[28] T. Inagaki, H. Kanki, and K. Shiraki, Transverse vibrations of a general crack-rotor bearing system, "Journal of Mechanical Design", 104, 1982, pp. 345-355.
[29] Y. Ishida, T. Ikeda, T. Yamamoyo, and N. Masuda, Vibrations of a rotating shaft containing a transverse crack, "JSME International Journal", Series III, 31/1, 1988, pp. 22-29.
[30] O.S. Jun, H.J. Eun, Y.Y. Earmme, and C.W. Lee, Modelling and vibration analysis of a simple rotor with a breathing crack, "Journal of Sound and Vibration", 155/2, 1992, pp. 273-290.
[31] M.L. Kikidis and C.A. Papadopoulos, Slenderness ratio effect on cracked beam, "Journal of Sound and Vibration", 155/1, 1992, pp. 1-11.
[32] D.R. Kolzow, Abnormal vibration - A symptom to cracked rotors, "Technical Information Letter", General Electric Company, TIL 727-4, 1974.
[33] C.W. Lee, J.S. Yun, and O.S. Jun, Modelling of a simple rotor with a switching crack and its experimental validation, "Journal of Vibration and Acoustics", American Society of Mechanical Engineers, 1992.
[34] I. Masayuki and Y. Hiroshi, A general method of analysis for dynamic problems of rotor systems, "Bulletin of the Japan Society of Mechanical Engineers", 27/230, 1984, pp. 1716-1722.
[35] I. Mayes, Crack propagation in rotating shafts, ASME paper 77-DET-164, 1977.
[36] I.W. Mayes and W.G.R. Davies, The vibrational behaviour of a rotating shaft system containing a transverse crack, in "Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery", C168/76, 1976.
[37] I.W. Mayes and W.G.R. Davies, A method of calculating the vibrational behaviour of coupled rotating shafts containing a transverse crack, in "Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery", C254/80, 1980.
[38] I.W. Mayes and W.G.R. Davies, Analysis of the response of a multi-rotor bearing system containing a transverse crack in a rotor, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 106, 1984, pp. 139-145.
[39] H.D. Nelson and C. Nataraj, The dynamics of a rotor system with a cracked shaft, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 108, 1986, pp. 189-196.
[40] L.R.K. Nilsson, On the vibrational behavior of a cracked rotor-bearing system, in "IFToMM International Conference on Rotordynamic problems in power plants", Rome, 1982, pp. 515-524.
[41] W.M. Ostachowicz and M. Krawwczuk, Coupled torsional and bending vibrations of a rotor with an open crack, in "Arch. Appl. Mech.", 62, 1992, pp. 191-201.
[42] T. Pafelias, Dynamic behaviour of a cracked rotor. Technical Information Series, General Electric Company, N. DF-74-LS-79, 1974.
[43] C.A. Papadopoulos and A.D. Dimarogonas, Coupled longitudinal and bending vibrations of a rotating shaft with an open crack, "Journal of Sound and Vibration", 117/1, 1987, pp. 81-93.
[44] C.A. Papadopoulos and A.D. Dimarogonas Coupling of bending and torsional vibration of a cracked Timoshenko shaft, "Ingenieur Archiv", 57, 1987, pp. 257-266.
[45] C.A. Papadopoulos and A.D. Dimarogonas, Coupled longitudinal and bending vibrations of a cracked shaft, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 110, 1988, pp. 1-8.
[46] C.A. Papadopoulos and A.D. Dimarogonas, Stability of cracked rotors in the coupled vibrations, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 110, 1988, pp. 356-359.
[47] R.H. Plaut, R.H. Andruet, and S. Suherman, Behaviour of a cracked rotating shaft during passage through a critical speed, "Journal of Sound and Vibration", 173/5, 1994, pp. 577-589.
[48] G.L. Qian, S.N. Gu, and J.S. Jiang, The dynamic behaviour and crack detection of a beam with a crack, "Journal of Sound and Vibration", 138/2, 1990, pp. 233-243.
[49] M.D. Rajab and Al-Sabeeh, Vibrational characteristics of cracked shafts, "Journal of Sound and Vibration", 147/3, 1991, pp. 465-473.
[50] X. Raud and P. Richard, Structure et validation du calcul non-linéaire de rotor fissuré CADYRO 2.0, in "EDF-DER, HP-61/93.108", 1993.
[51] P.F. Rizos, N. Aspragathos, and A.D. Dimarogonas, Identification of crack location and magnitude of a cantilever beam from the vibration modes, "Journal of Sound and Vibration", 138/3, 1990, pp. 381-388.
[52] J. Schmied and E. Kramer, Vibrational behaviour of a rotor with a cross-sectional crack, in "Institution of Mechanical Engineers Conference Publication", C279/84, 1984.
[53] A.S. Sekhar and B.S. Prabhu, Crack detection and vibration characteristics of cracked shafts, "Journal of Sound and Vibration", 157/2, 1992, pp. 375-381.
[54] A.S. Sekhar and B.S. Prabhu, Transient analysis of a cracked rotor passing through critical speed, "Journal of Sound and Vibration, 173/3, 1994, pp. 415-421.
[55] A.S. Sekhar and A.S. Rao, Crack versus misalignment in rotor-coupling bearing system, "Machine Vibration", 5, 1996, pp. 179-188.
[56] J. Shatoff, Using vibration analysis to determine the dynamic health of turbine generators, "Power", 120/5, 1976, pp. 23-28.
[57] J.C. Sol, Comportement vibratoire d’un arbre comportant une fissure transverse. Quelques remarques sur la mise en équations du problème, EDF-DER, HP/34-0153, 1997, pp. 1-45.
[58] J.N. Sundermeyer and R.L. Weaver, On crack identification and characterization in a beam by non-linear vibration analysis, "Journal of Sound and Vibration", 183/5, 1995, pp. 857-871.
[59] H. Tada, P.C. Paris, and G.R. Irwin, The stress analysis of cracks handbook, Paris Production Incorporated and Del Research Corporation, 226 Woodbourne Dr., St. Louis, Missouri 63105, 2nd ed., 1985.
[60] G.B. Thomas, The application of non-linear methods to turbo-generator rotordynamics, "I. Mech. E.", C186/79, 1979, pp. 209-216.
[61] J. Wauer, On the dynamics of cracked rotors: a literature survey, "Applied Mechanics Reviews", 43/1, 1990, pp. 13-17.
[62] J. Wauer, Modelling and formulation of equations for cracked rotating shafts, "Int. J. Solids Structures", 26/8, 1990, pp. 901-914.
[63] H. Ziebarth and R.J. Baumgartner, Early detection of cross-sectional rotor cracks by turbine shaft vibration monitoring techniques, ASME, paper 81-JPGC-Pwr-26, 1981.
[2] N. Bachschmid, A method for calculating the dynamic behavior of cracked shafts, in "Proceedings 6th IFToMM Conference", Wiley East, New Delhi, vol. 2, 1983, pp. 1343-1346.
[3] N. Bachschmid, G. Diana, and B. Pizzigoni The influence of unbalance on cracked rotors, in "Vibrations of rotating machinery, Institution of Mechanical Engineers", 1984, pp. 193-198.
[4] N. Bachschmid, P. Pennacchi, E. Tanzi, and A. Vania, Statical and Dynamical Behaviour of Rotors with Transversal Crack - Part I: Comparison between Different Models, in "Proc. of XIV Congresso Nazionale AIMETA, Como, 6-9 October 1999", 1999, pp. 1-12.
[5] N. Bachschimd, P. Pennacchi, E. Tanzi, and S. Audebert, Identification of Tranverse Cracks in Rotors Systems, to be printed in "Proceedings of ISROMAC-8 Conference, 26-30 March 2000", Honolulu, 2000, pp. 1-11.
[6] L. Changhe, O. Bernasconi, and N. Xenophontidis, A generalized approach to the dynamics of cracked shafts, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 111, 1989, pp. 257-263.
[7] L.W. Chen and H.K. Chen, Stability analyses of a cracked shaft subjected to the end load, "Journal of Sound and Vibration", 188/4, 1995, pp. 487-513.
[8] T.G. Chondros, A.D. Dimarogonas, and J. Yao, A consistent cracked bar vibration theory, "Journal of Sound and Vibration", 200/3, 1997, pp. 303-313.
[9] W.G.R. Davies and I.W. Mayes, The vibrational behavior of a multi-shaft, multi-bearing system in the presence of a propagating transverse crack, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 106, 1984, pp. 146-153.
[10] G. Diana, N. Bachschmid, and F. Angeli, An on-line Crack Detection Method for Turbogenerator Rotors, in "IFToMM International Conference on Rotordynamics", Tokyo, 1986.
[11] A.D. Dimarogonas, Dynamic response of cracked rotors, General Electric Company, New York, 1970.
[12] A.D. Dimarogonas, Vibration Engineering, West Publishers, St. Paul, 1976.
[13] A.D. Dimarogonas, A brief history of rotor dynamics. Rotordynamics, vol. 92, Springer-Verlag, Venice, 1992.
[14] A.D. Dimarogonas, Vibration of cracked structures. A state of the art review, "Engineering Fracture Mechanics", 55, 1996, pp. 831-857.
[15] A.D. Dimarogonas and G. Massouros, Torsional vibration of a shaft with a circumferential crack, "Engineering Fracture Mechanics", 15/3-4, 1980, pp. 439-444.
[16] A.D. Dimarogonas and S.A. Paipetis, Analytical methods in rotor dynamics, Applied Science Publishers, London, 1983.
[17] A.D. Dimarogonas and C.A. Papadopoulos, Vibration of cracked shafts in bending, "Journal of Sound and Vibration", 91/4, 1983, pp. 583-593.
[18] R. Gasch, Dynamic behaviour of a simple rotor with a cross-sectional crack, in "Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery", C178/76, 1976.
[19] R. Gasch, A survey of the dynamic behaviour of a simple rotating shaft with a transverse crack, "Journal of Sound and Vibration", 160/2, 1993, pp. 131-332.
[20] R. Gasch, M. Person, and B. Weitz, Dynamic behaviour of the Laval rotor with a cracked hollow shaft. A comparison of crack models, in "Tech. IMECH Conference Vibrations in Rotating Machinery, September 1988", Edinburgh, C314/88, 1988.
[21] B. Grabowski, The vibrational behavior of a turbine rotor containing a transverse crack, "Journal of Mechanical Design", 102, 1980, pp. 140-146.
[22] B. Grabowski, Shaft vibrations in turbomachinery excited by cracks, in "2nd workshop on rotordynamic instability problems in high-performance turbomachinery", Texas A&M University, NASA Conference Publication 2250, 1982, pp. 81-97.
[23] B. Grabowski, The vibrational behavior of a rotating shaft containing a transverse crack, in "Dynamics of rotors - Stability and system identification", CISM courses and lectures n. 273, Springer-Verlag, New York, 1984, pp. 423-465.
[24] B. Grabowski and O. Mahrenholtz, Theoretical and experimental investigations of shaft vibrations in turbomachinery excited by cracks, in " IFToMM International Conference on Rotordynamic problems in power plants", Rome, 1982, pp. 507-514.
[25] T.A. Henry and B.E. Okah-Avae, Vibrations in cracked shafts, Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery, C162/76, 1976.
[26] S. C. Huang, Y. M. Huang, and S. M. Shieh, Vibration and stability of a rotating shaft containing a transverse crack, "Journal of Sound and Vibration", 162, 1993, pp. 387-401.
[27] M. Ichimonji and S. Watanabe, The dynamics of a rotor system with a shaft having a slant crack, "JSME International Journal", Series III, 31/4, 1988, pp. 712-718.
[28] T. Inagaki, H. Kanki, and K. Shiraki, Transverse vibrations of a general crack-rotor bearing system, "Journal of Mechanical Design", 104, 1982, pp. 345-355.
[29] Y. Ishida, T. Ikeda, T. Yamamoyo, and N. Masuda, Vibrations of a rotating shaft containing a transverse crack, "JSME International Journal", Series III, 31/1, 1988, pp. 22-29.
[30] O.S. Jun, H.J. Eun, Y.Y. Earmme, and C.W. Lee, Modelling and vibration analysis of a simple rotor with a breathing crack, "Journal of Sound and Vibration", 155/2, 1992, pp. 273-290.
[31] M.L. Kikidis and C.A. Papadopoulos, Slenderness ratio effect on cracked beam, "Journal of Sound and Vibration", 155/1, 1992, pp. 1-11.
[32] D.R. Kolzow, Abnormal vibration - A symptom to cracked rotors, "Technical Information Letter", General Electric Company, TIL 727-4, 1974.
[33] C.W. Lee, J.S. Yun, and O.S. Jun, Modelling of a simple rotor with a switching crack and its experimental validation, "Journal of Vibration and Acoustics", American Society of Mechanical Engineers, 1992.
[34] I. Masayuki and Y. Hiroshi, A general method of analysis for dynamic problems of rotor systems, "Bulletin of the Japan Society of Mechanical Engineers", 27/230, 1984, pp. 1716-1722.
[35] I. Mayes, Crack propagation in rotating shafts, ASME paper 77-DET-164, 1977.
[36] I.W. Mayes and W.G.R. Davies, The vibrational behaviour of a rotating shaft system containing a transverse crack, in "Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery", C168/76, 1976.
[37] I.W. Mayes and W.G.R. Davies, A method of calculating the vibrational behaviour of coupled rotating shafts containing a transverse crack, in "Institution of Mechanical Engineers Conference Publication. Vibration in rotating machinery", C254/80, 1980.
[38] I.W. Mayes and W.G.R. Davies, Analysis of the response of a multi-rotor bearing system containing a transverse crack in a rotor, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 106, 1984, pp. 139-145.
[39] H.D. Nelson and C. Nataraj, The dynamics of a rotor system with a cracked shaft, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 108, 1986, pp. 189-196.
[40] L.R.K. Nilsson, On the vibrational behavior of a cracked rotor-bearing system, in "IFToMM International Conference on Rotordynamic problems in power plants", Rome, 1982, pp. 515-524.
[41] W.M. Ostachowicz and M. Krawwczuk, Coupled torsional and bending vibrations of a rotor with an open crack, in "Arch. Appl. Mech.", 62, 1992, pp. 191-201.
[42] T. Pafelias, Dynamic behaviour of a cracked rotor. Technical Information Series, General Electric Company, N. DF-74-LS-79, 1974.
[43] C.A. Papadopoulos and A.D. Dimarogonas, Coupled longitudinal and bending vibrations of a rotating shaft with an open crack, "Journal of Sound and Vibration", 117/1, 1987, pp. 81-93.
[44] C.A. Papadopoulos and A.D. Dimarogonas Coupling of bending and torsional vibration of a cracked Timoshenko shaft, "Ingenieur Archiv", 57, 1987, pp. 257-266.
[45] C.A. Papadopoulos and A.D. Dimarogonas, Coupled longitudinal and bending vibrations of a cracked shaft, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 110, 1988, pp. 1-8.
[46] C.A. Papadopoulos and A.D. Dimarogonas, Stability of cracked rotors in the coupled vibrations, "Journal of Vibration, Acoustics, Stress, and Reliability in design", 110, 1988, pp. 356-359.
[47] R.H. Plaut, R.H. Andruet, and S. Suherman, Behaviour of a cracked rotating shaft during passage through a critical speed, "Journal of Sound and Vibration", 173/5, 1994, pp. 577-589.
[48] G.L. Qian, S.N. Gu, and J.S. Jiang, The dynamic behaviour and crack detection of a beam with a crack, "Journal of Sound and Vibration", 138/2, 1990, pp. 233-243.
[49] M.D. Rajab and Al-Sabeeh, Vibrational characteristics of cracked shafts, "Journal of Sound and Vibration", 147/3, 1991, pp. 465-473.
[50] X. Raud and P. Richard, Structure et validation du calcul non-linéaire de rotor fissuré CADYRO 2.0, in "EDF-DER, HP-61/93.108", 1993.
[51] P.F. Rizos, N. Aspragathos, and A.D. Dimarogonas, Identification of crack location and magnitude of a cantilever beam from the vibration modes, "Journal of Sound and Vibration", 138/3, 1990, pp. 381-388.
[52] J. Schmied and E. Kramer, Vibrational behaviour of a rotor with a cross-sectional crack, in "Institution of Mechanical Engineers Conference Publication", C279/84, 1984.
[53] A.S. Sekhar and B.S. Prabhu, Crack detection and vibration characteristics of cracked shafts, "Journal of Sound and Vibration", 157/2, 1992, pp. 375-381.
[54] A.S. Sekhar and B.S. Prabhu, Transient analysis of a cracked rotor passing through critical speed, "Journal of Sound and Vibration, 173/3, 1994, pp. 415-421.
[55] A.S. Sekhar and A.S. Rao, Crack versus misalignment in rotor-coupling bearing system, "Machine Vibration", 5, 1996, pp. 179-188.
[56] J. Shatoff, Using vibration analysis to determine the dynamic health of turbine generators, "Power", 120/5, 1976, pp. 23-28.
[57] J.C. Sol, Comportement vibratoire d’un arbre comportant une fissure transverse. Quelques remarques sur la mise en équations du problème, EDF-DER, HP/34-0153, 1997, pp. 1-45.
[58] J.N. Sundermeyer and R.L. Weaver, On crack identification and characterization in a beam by non-linear vibration analysis, "Journal of Sound and Vibration", 183/5, 1995, pp. 857-871.
[59] H. Tada, P.C. Paris, and G.R. Irwin, The stress analysis of cracks handbook, Paris Production Incorporated and Del Research Corporation, 226 Woodbourne Dr., St. Louis, Missouri 63105, 2nd ed., 1985.
[60] G.B. Thomas, The application of non-linear methods to turbo-generator rotordynamics, "I. Mech. E.", C186/79, 1979, pp. 209-216.
[61] J. Wauer, On the dynamics of cracked rotors: a literature survey, "Applied Mechanics Reviews", 43/1, 1990, pp. 13-17.
[62] J. Wauer, Modelling and formulation of equations for cracked rotating shafts, "Int. J. Solids Structures", 26/8, 1990, pp. 901-914.
[63] H. Ziebarth and R.J. Baumgartner, Early detection of cross-sectional rotor cracks by turbine shaft vibration monitoring techniques, ASME, paper 81-JPGC-Pwr-26, 1981.
