메뉴 건너뛰기




Volumn 44, Issue 1, 2005, Pages 95-104

Variational formulation of a rod under torsional vibration for crack identification

Author keywords

Continuous cracked rod formulation; Cracked cylindrical rod; Torsional vibration; Variational formulation

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; FRACTURE MECHANICS; NATURAL FREQUENCIES; SHAFTS (MACHINE COMPONENTS); STRAIN; STRESSES; TORSIONAL STRESS; VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL);

EID: 24144451338     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2005.05.008     Document Type: Article
Times cited : (26)

References (36)
  • 1
    • 84983680131 scopus 로고
    • On the dynamics of cracked rotors: A literature survey
    • J. Wauer On the dynamics of cracked rotors: A literature survey Appl. Mech. Rev. 43 1 1990 13-17
    • (1990) Appl. Mech. Rev. , vol.43 , Issue.1 , pp. 13-17
    • Wauer, J.1
  • 2
    • 0038368719 scopus 로고
    • Dynamic Response of Cracked Rotors
    • Internal Report, General Electric Co., Schenectady, NY, USA
    • A.D. Dimarogonas, Dynamic Response of Cracked Rotors, Internal Report, General Electric Co., Schenectady, NY, USA, 1970.
    • (1970)
    • Dimarogonas, A.D.1
  • 3
    • 0042130691 scopus 로고
    • Dynamics of Cracked Shafts
    • Internal Report, General Electric Co., Schenectady, NY, USA
    • A.D. Dimarogonas, Dynamics of Cracked Shafts, Internal Report, General Electric Co., Schenectady, NY, USA, 1971.
    • (1971)
    • Dimarogonas, A.D.1
  • 4
    • 0042130682 scopus 로고
    • Dynamic Behaviour of a Cracked Rotor
    • Technical Information Series, No. DF-74-LS-79, General Electric Co
    • T. Pafelias, Dynamic Behaviour of a Cracked Rotor, Technical Information Series, No. DF-74-LS-79, General Electric Co., 1974.
    • (1974)
    • Pafelias, T.1
  • 5
    • 33645583882 scopus 로고
    • A Methodology for Predicting Torsional Fatigue Life of Turbine Generator Shafts Using Crack Initiation Plus Propagation
    • EL-4333 Research Project 1531-1, Final Report, General Electric Co
    • A Methodology for Predicting Torsional Fatigue Life of Turbine Generator Shafts Using Crack Initiation Plus Propagation, EL-4333 Research Project 1531-1, Final Report, General Electric Co., 1985.
    • (1985)
  • 6
    • 0030290066 scopus 로고    scopus 로고
    • Vibration of cracked structures: A state of the art review
    • A.D. Dimarogonas Vibration of cracked structures: A state of the art review Eng. Fract. Mech. 55 5 1996 831-857
    • (1996) Eng. Fract. Mech. , vol.55 , Issue.5 , pp. 831-857
    • Dimarogonas, A.D.1
  • 7
    • 0031649984 scopus 로고    scopus 로고
    • Fault diagnosis of rotating machinery, the shock and vibration digest
    • S. Edwards A.W. Lees M.I. Friswell Fault diagnosis of rotating machinery, the shock and vibration digest Shock Vib. Dig. 30 1 1998 4-13
    • (1998) Shock Vib. Dig. , vol.30 , Issue.1 , pp. 4-13
    • Edwards, S.1    Lees, A.W.2    Friswell, M.I.3
  • 8
    • 0000707994 scopus 로고    scopus 로고
    • Dynamic response of a cracked rotor with some comments on crack detection
    • G. Meng E.J. Hahn Dynamic response of a cracked rotor with some comments on crack detection ASME J. Eng. Gas Turbines Power 119 1997 447-455
    • (1997) ASME J. Eng. Gas Turbines Power , vol.119 , pp. 447-455
    • Meng, G.1    Hahn, E.J.2
  • 9
    • 0032208882 scopus 로고
    • Condition monitoring of cracked rotors through transient response
    • A.S. Sekhar B.S. Prabhu Condition monitoring of cracked rotors through transient response Mech. Mach. Theory 33 8 1988 1167-1175
    • (1988) Mech. Mach. Theory , vol.33 , Issue.8 , pp. 1167-1175
    • Sekhar, A.S.1    Prabhu, B.S.2
  • 10
    • 0032634284 scopus 로고    scopus 로고
    • Failure analysis of a generator rotor with a deep crack detected during operation: Fractographic and fracture mechanics approach
    • a a
    • V. Bicego E. Lucon a C. Rinaldi a R. Crudeli Failure analysis of a generator rotor with a deep crack detected during operation: fractographic and fracture mechanics approach Nucl. Eng. Des. 188 1999 173-183
    • (1999) Nucl. Eng. Des. , vol.188 , pp. 173-183
    • Bicego, V.1    Lucon, E.2    Rinaldi, C.3    Crudeli, R.4
  • 11
    • 0033099175 scopus 로고    scopus 로고
    • Mathematical foundations of experimental modal analysis in rotor dynamics
    • H. Irretier Mathematical foundations of experimental modal analysis in rotor dynamics Mech. Syst. Signal Process. 13 2 1999 183-191
    • (1999) Mech. Syst. Signal Process , vol.13 , Issue.2 , pp. 183-191
    • Irretier, H.1
  • 12
    • 0034904720 scopus 로고    scopus 로고
    • Using genetic algorithms and finite element methods to detect shaft crack for rotor-bearing system
    • Yongyong He Dan Guo Fulei Chu Using genetic algorithms and finite element methods to detect shaft crack for rotor-bearing system Math. Comput. Simulat. 57 2001 95-108
    • (2001) Math. Comput. Simulat. , vol.57 , pp. 95-108
    • He, Y.1    Guo, D.2    Chu, F.3
  • 13
    • 0037060433 scopus 로고    scopus 로고
    • Crack identification in rotating shafts by coupled response measurements
    • G.D. Gounaris C.A. Papadopoulos Crack identification in rotating shafts by coupled response measurements Eng. Fract. Mech. 69 2002 339-352
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 339-352
    • Gounaris, G.D.1    Papadopoulos, C.A.2
  • 14
    • 0037173826 scopus 로고    scopus 로고
    • Comparison of different modelling techniques to simulate the vibration of a cracked rotor
    • H. Keiner M.S. Gadala Comparison of different modelling techniques to simulate the vibration of a cracked rotor J. Sound Vib. 254 5 2002 1012-1024
    • (2002) J. Sound Vib. , vol.254 , Issue.5 , pp. 1012-1024
    • Keiner, H.1    Gadala, M.S.2
  • 15
    • 33645588447 scopus 로고    scopus 로고
    • Rotor dynamics analysis of rotating machine systems using artificial neural networks
    • M. Kalkat S. Yildirim I. Uzmay Rotor dynamics analysis of rotating machine systems using artificial neural networks Int. J. Rotat. Machinery 9 2003 255-262
    • (2003) Int. J. Rotat. Machinery , vol.9 , pp. 255-262
    • Kalkat, M.1    Yildirim, S.2    Uzmay, I.3
  • 16
    • 0942300315 scopus 로고    scopus 로고
    • Interpretation of crack-induced rotor non-linear response using instantaneous frequency
    • B. Yang C.S. Suh Interpretation of crack-induced rotor non-linear response using instantaneous frequency Mech. Syst. Signal Process. 18 2004 491-513
    • (2004) Mech. Syst. Signal Process. , vol.18 , pp. 491-513
    • Yang, B.1    Suh, C.S.2
  • 17
    • 2442505690 scopus 로고    scopus 로고
    • Model-based identification of two cracks in a rotor system
    • A.S. Sekhar Model-based identification of two cracks in a rotor system Mech. Syst. Signal Process. 18 2004 977-983
    • (2004) Mech. Syst. Signal Process. , vol.18 , pp. 977-983
    • Sekhar, A.S.1
  • 18
    • 0344062609 scopus 로고    scopus 로고
    • Detection and monitoring of crack in a coast-down rotor supported on fluid film bearings
    • A.S. Sekhar Detection and monitoring of crack in a coast-down rotor supported on fluid film bearings Tribol. Int. 37 2004 279-287
    • (2004) Tribol. Int. , vol.37 , pp. 279-287
    • Sekhar, A.S.1
  • 19
    • 0030575480 scopus 로고    scopus 로고
    • A time domain method for the localization of cracks in rotors
    • S. Seibold K. Weinert A time domain method for the localization of cracks in rotors J. Sound Vib. 195 1 1996 57-73
    • (1996) J. Sound Vib. , vol.195 , Issue.1 , pp. 57-73
    • Seibold, S.1    Weinert, K.2
  • 20
    • 0030568622 scopus 로고    scopus 로고
    • On-line identification and location of rotor cracks
    • S. Ratan H. Baruh J. Rodriguez On-line identification and location of rotor cracks J. Sound Vib. 194 1 1996 67-82
    • (1996) J. Sound Vib. , vol.194 , Issue.1 , pp. 67-82
    • Ratan, S.1    Baruh, H.2    Rodriguez, J.3
  • 21
    • 0015636630 scopus 로고
    • Some basic problems in fracture mechanics and new concepts
    • G.C. Sih Some basic problems in fracture mechanics and new concepts Eng. Fract. Mech. 5 1973 365-377
    • (1973) Eng. Fract. Mech. , vol.5 , pp. 365-377
    • Sih, G.C.1
  • 22
    • 0016101548 scopus 로고
    • Strain energy density factor applied to mixed mode problems
    • G.C. Sih Strain energy density factor applied to mixed mode problems Eng. Fract. Mech. 10 1974 305-321
    • (1974) Eng. Fract. Mech. , vol.10 , pp. 305-321
    • Sih, G.C.1
  • 23
    • 0016101010 scopus 로고
    • Fracture mechanics applied to engineering problems, strain energy density fracture criterion
    • G.C. Sih B. McDonald Fracture mechanics applied to engineering problems, strain energy density fracture criterion Eng. Fract. Mech. 6 1974 493-507
    • (1974) Eng. Fract. Mech. , vol.6 , pp. 493-507
    • Sih, G.C.1    McDonald, B.2
  • 24
    • 0019187022 scopus 로고
    • Mixed mode fatigue crack growth predictions
    • G.C. Sih B.M. Barthelemy Mixed mode fatigue crack growth predictions Eng. Fract. Mech. 13 1980 439-451
    • (1980) Eng. Fract. Mech. , vol.13 , pp. 439-451
    • Sih, G.C.1    Barthelemy, B.M.2
  • 25
    • 2942582878 scopus 로고    scopus 로고
    • Parameter identification of a rotor with an open crack
    • G.M. Dong J. Chen J. Zou Parameter identification of a rotor with an open crack Eur. J. Mech. A/Solids 23 2004 325-333
    • (2004) Eur. J. Mech. A/Solids , vol.23 , pp. 325-333
    • Dong, G.M.1    Chen, J.2    Zou, J.3
  • 26
    • 0019716163 scopus 로고
    • Torsional vibration of a shaft with a circumferential crack
    • A.D. Dimarogonas G. Massouros Torsional vibration of a shaft with a circumferential crack Eng. Fract. Mech. 15 3-4 1981 439-444
    • (1981) Eng. Fract. Mech. , vol.15 , Issue.3-4 , pp. 439-444
    • Dimarogonas, A.D.1    Massouros, G.2
  • 27
    • 38249043357 scopus 로고
    • Torsional vibration of cracked beams of non-circular cross-section
    • S. Christides A.D.S. Barr Torsional vibration of cracked beams of non-circular cross-section Int. J. Mech. Sci. 28 7 1986 473-490
    • (1986) Int. J. Mech. Sci. , vol.28 , Issue.7 , pp. 473-490
    • Christides, S.1    Barr, A.D.S.2
  • 28
    • 0001527963 scopus 로고
    • An extension of the Hu-Washizu variational principle in linear elasticity for dynamic problems
    • A.D.S. Barr An extension of the Hu-Washizu variational principle in linear elasticity for dynamic problems Trans. ASME J. Appl. Mech. 33 2 1966 465
    • (1966) Trans. ASME J. Appl. Mech. , vol.33 , Issue.2 , pp. 465
    • Barr, A.D.S.1
  • 29
    • 0003565638 scopus 로고
    • Technical Report 25-18, Contract No. N5-07833, Massachusetts Institute of Technology, Cambridge, MA
    • K. Washizu, On the Variational Principles of Elasticity and Plasticity. Technical Report 25-18, Contract No. N5-07833, Massachusetts Institute of Technology, Cambridge, MA, 1955.
    • (1955) On the Variational Principles of Elasticity and Plasticity
    • Washizu, K.1
  • 30
    • 0037690311 scopus 로고
    • On some variational principles in the theory of elasticity and plasticity
    • H.C. Hu On some variational principles in the theory of elasticity and plasticity Sci. Sinica 4 1955 33-55
    • (1955) Sci. Sinica , vol.4 , pp. 33-55
    • Hu, H.C.1
  • 31
    • 0001088369 scopus 로고
    • The distribution of stress in the neighborhood of a crack in an elastic solid
    • I.N. Sneddon The distribution of stress in the neighborhood of a crack in an elastic solid Proceedings Royal Society London vol. A 1946 187
    • (1946) Proceedings Royal Society London , vol.A , pp. 187
    • Sneddon, I.N.1
  • 33
    • 85123615747 scopus 로고
    • Analysis of stresses and strains near the end of a crack traversing a plate
    • G.R. Irwin Analysis of stresses and strains near the end of a crack traversing a plate J. Appl. Mech. 24 1957 361-364
    • (1957) J. Appl. Mech. , vol.24 , pp. 361-364
    • Irwin, G.R.1
  • 36
    • 0025075574 scopus 로고
    • Modelling and formulation of equation of motion for cracked rotating shafts
    • J. Wauer Modelling and formulation of equation of motion for cracked rotating shafts Int. J. Solids Struct. 26 4 1990 901-914
    • (1990) Int. J. Solids Struct. , vol.26 , Issue.4 , pp. 901-914
    • Wauer, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.