메뉴 건너뛰기




Volumn 84, Issue 7, 2006, Pages 485-502

Geometrically non-linear free vibrations of clamped-clamped beams with an edge crack

Author keywords

Beam; Crack; Non linear vibrations

Indexed keywords

CLAMPING DEVICES; GEOMETRY; ITERATIVE METHODS; RESONANCE; VIBRATIONS (MECHANICAL);

EID: 30644460685     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2005.09.030     Document Type: Article
Times cited : (54)

References (54)
  • 4
    • 0003310311 scopus 로고
    • Identification of cracks in circular plates welded at the contour
    • 79-DET-106, St Louis
    • Chondros TG, Dimarogonas AD. ASME Design Eng. Technical Conf., 79-DET-106, St Louis. Identification of cracks in circular plates welded at the contour, 1979.
    • (1979) ASME Design Eng. Technical Conf.
    • Chondros, T.G.1    Dimarogonas, A.D.2
  • 5
    • 0019005211 scopus 로고
    • Identification of cracks in welded joints of complex structures
    • T.G. Chondros, and A.D. Dimarogonas Identification of cracks in welded joints of complex structures J Sound Vib 69 1980 531 538
    • (1980) J Sound Vib , vol.69 , pp. 531-538
    • Chondros, T.G.1    Dimarogonas, A.D.2
  • 7
    • 0024936970 scopus 로고
    • Fatigue crack propagation in resonating structures
    • A.J. Dentoras, and A.D. Dimarogonas Fatigue crack propagation in resonating structures Eng Fracture Mech 34 No. 3 1989 721 728
    • (1989) Eng Fracture Mech , vol.34 , Issue.3 , pp. 721-728
    • Dentoras, A.J.1    Dimarogonas, A.D.2
  • 8
    • 0016341458 scopus 로고
    • Etude de l'amorçage des fissures et de la vitesse de fissuration par fatigue de quelques aciers inoxydables austénitiques
    • P. Rabbe, and C. Amzallag Etude de l'amorçage des fissures et de la vitesse de fissuration par fatigue de quelques aciers inoxydables austénitiques Revue de Métallurgie 1974 931 941
    • (1974) Revue de Métallurgie , pp. 931-941
    • Rabbe, P.1    Amzallag, C.2
  • 10
    • 0025591601 scopus 로고
    • Developments in the acoustic fatigue design process for composite aircraft structures
    • R.G. White Developments in the acoustic fatigue design process for composite aircraft structures Compos Struct 16 1990 171 192
    • (1990) Compos Struct , vol.16 , pp. 171-192
    • White, R.G.1
  • 11
    • 0021758055 scopus 로고
    • The effect of large vibration amplitudes on the dynamic strain response of a clamped-clamped beam with consideration of fatigue life
    • M.M. Bennouna, and R.G. White The effect of large vibration amplitudes on the dynamic strain response of a clamped-clamped beam with consideration of fatigue life J Sound Vib 96 1984 281 308
    • (1984) J Sound Vib , vol.96 , pp. 281-308
    • Bennouna, M.M.1    White, R.G.2
  • 12
    • 0017951397 scopus 로고
    • A vibration technique for non-destructively assessing the integrity of structures
    • R.D. Adams, P. Cawley, C.J. Pey, and B.J. Stone A vibration technique for non-destructively assessing the integrity of structures J Mech Eng Sci 20 1978 93 100
    • (1978) J Mech Eng Sci , vol.20 , pp. 93-100
    • Adams, R.D.1    Cawley, P.2    Pey, C.J.3    Stone, B.J.4
  • 13
    • 0019601438 scopus 로고
    • Simple Static and Dynamic Models for Cracked Elastic Beams
    • H.J. Petroski Simple Static and Dynamic Models for Cracked Elastic Beams Int J Fracture 17 1972 71 76
    • (1972) Int J Fracture , vol.17 , pp. 71-76
    • Petroski, H.J.1
  • 14
    • 0022421708 scopus 로고
    • A numerical study of the eigenparameters of a damaged cantilever beam
    • M.M.F. Yuen A numerical study of the eigenparameters of a damaged cantilever beam J Sound Vib 103 3 1985 301 310
    • (1985) J Sound Vib , vol.103 , Issue.3 , pp. 301-310
    • Yuen, M.M.F.1
  • 16
    • 30644463684 scopus 로고
    • Coupling and bending of torsional vibration of cracked Timoshenko shaft
    • C.A. Papadopoulos, and A.D. Dimarogonas Coupling and bending of torsional vibration of cracked Timoshenko shaft Ing Arch 57 1987 495 505
    • (1987) Ing Arch , vol.57 , pp. 495-505
    • Papadopoulos, C.A.1    Dimarogonas, A.D.2
  • 17
    • 0019113364 scopus 로고    scopus 로고
    • A method of calculating the vibrational behaviour of coupled rotating shafts containing a transverse cracks
    • Paper No. C254/80
    • Mayes IW, Davies WGR. Paper No. C254/80, I. Mech. E. Conf. 1980. A method of calculating the vibrational behaviour of coupled rotating shafts containing a transverse cracks.
    • I. Mech. E. Conf. 1980
    • Mayes, I.W.1    Davies, W.G.R.2
  • 18
    • 0021583924 scopus 로고
    • Changes in modal parameters resulting from small cracks
    • Orlando, Union college, NY, USA
    • Gudmundson P. In: Proceedings of 2nd international modal analysis conference, vol. 2, Orlando, Union college, NY, USA. Changes in modal parameters resulting from small cracks, 1984. p. 690-7.
    • (1984) Proceedings of 2nd International Modal Analysis Conference , vol.2 , pp. 690-697
    • Gudmundson, P.1
  • 19
    • 0023213223 scopus 로고
    • Coupling of bending and torsional vibration of cracked Timoshenko shaft
    • C.A. Papadopoulos, and A.D. Dimarogonas Coupling of bending and torsional vibration of cracked Timoshenko shaft Ing Arch 57 1987 495 505
    • (1987) Ing Arch , vol.57 , pp. 495-505
    • Papadopoulos, C.A.1    Dimarogonas, A.D.2
  • 20
    • 0025703027 scopus 로고
    • Identification of crack location and magnitude in a cantilever beam from the vibration modes
    • P.E. Rizos, N. Aspragathos, and A.D. Dimarogonas Identification of crack location and magnitude in a cantilever beam from the vibration modes J Sound Vib 138 1990 381 388
    • (1990) J Sound Vib , vol.138 , pp. 381-388
    • Rizos, P.E.1    Aspragathos, N.2    Dimarogonas, A.D.3
  • 21
    • 0000848243 scopus 로고    scopus 로고
    • Parameterisation of damage in reinforced concrete structures using model updating
    • M.M. Abdel Wahab, G. De Roeck, and B. Peeters Parameterisation of damage in reinforced concrete structures using model updating J Sound Vib 228 1999 717 730
    • (1999) J Sound Vib , vol.228 , pp. 717-730
    • Abdel Wahab, M.M.1    De Roeck, G.2    Peeters, B.3
  • 22
    • 0028381522 scopus 로고
    • Free vibrations of beams with a single edge crack
    • M.H.H. Shen, and C. Pierre Free vibrations of beams with a single edge crack J Sound Vib 170 1994 237 259
    • (1994) J Sound Vib , vol.170 , pp. 237-259
    • Shen, M.H.H.1    Pierre, C.2
  • 23
    • 0035913340 scopus 로고    scopus 로고
    • Comments on the free vibrations of beams with a single edge crack
    • S.H.S. Carniero, and D.J. Inman Comments on the free vibrations of beams with a single edge crack J Sound Vib 244 2001 729 737
    • (2001) J Sound Vib , vol.244 , pp. 729-737
    • Carniero, S.H.S.1    Inman, D.J.2
  • 24
    • 0037149207 scopus 로고    scopus 로고
    • Simplified models for the location of cracks in beam structures using measured vibration data
    • J.K. Sinha, M.I. Friswell, and S. Edwards Simplified models for the location of cracks in beam structures using measured vibration data J Sound Vib 251 2002 13 38
    • (2002) J Sound Vib , vol.251 , pp. 13-38
    • Sinha, J.K.1    Friswell, M.I.2    Edwards, S.3
  • 25
    • 0029345601 scopus 로고
    • The modelling of the opening and closure of a crack
    • O.N.L. Abraham, J.A. Brandon, and J. vibration The modelling of the opening and closure of a crack Acoustics 117 1995 371 377
    • (1995) Acoustics , vol.117 , pp. 371-377
    • Abraham, O.N.L.1    Brandon, J.A.2    Vibration, J.3
  • 26
    • 0018918815 scopus 로고
    • The vibrational behaviour of turbine rotor containing a transverse crack
    • B. Grabowski The vibrational behaviour of turbine rotor containing a transverse crack J Mech Design 102 1979 140 146
    • (1979) J Mech Design , vol.102 , pp. 140-146
    • Grabowski, B.1
  • 28
    • 0034322769 scopus 로고    scopus 로고
    • The effects of closure of cracks on the dynamics of a cracked cantilever beams
    • M. Kisa, and J.A. Brandon The effects of closure of cracks on the dynamics of a cracked cantilever beams J Sound Vib 238 2000 1 18
    • (2000) J Sound Vib , vol.238 , pp. 1-18
    • Kisa, M.1    Brandon, J.A.2
  • 29
    • 84983680131 scopus 로고
    • Cracked rotor dynamics: A state of the art survey
    • J. Wauer Cracked rotor dynamics: A state of the art survey Appl Mech Rev 43 1990 13 17
    • (1990) Appl Mech Rev , vol.43 , pp. 13-17
    • Wauer, J.1
  • 30
    • 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 1996 831 857
    • (1996) Eng Fract Mech , vol.55 , pp. 831-857
    • Dimarogonas, A.D.1
  • 31
    • 0032023438 scopus 로고    scopus 로고
    • A summary review of vibration-based damage Identification methods
    • S.W. Doebling, C.R. Ferrar, and M.B. Prome A summary review of vibration-based damage Identification methods Shock Vib Dig 30 1998 91 105
    • (1998) Shock Vib Dig , vol.30 , pp. 91-105
    • Doebling, S.W.1    Ferrar, C.R.2    Prome, M.B.3
  • 33
    • 0026419989 scopus 로고
    • The effects of large vibration amplitudes on the fundamental mode shape of thin elastic structures, part I: Simply supported and clamped-clamped beams
    • R. Benamar, M.M.K. Bennouna, and R.G. White The effects of large vibration amplitudes on the fundamental mode shape of thin elastic structures, part I: Simply supported and clamped-clamped beams J Sound Vib 149 1991 179 195
    • (1991) J Sound Vib , vol.149 , pp. 179-195
    • Benamar, R.1    Bennouna, M.M.K.2    White, R.G.3
  • 34
    • 0027610759 scopus 로고
    • The effects of large vibration amplitudes on the fundamental mode shape of thin elastic structures, part II: Fully clamped rectangular isotropic plates
    • Benamar, M.M.K. Bennouna, and R.G. White The effects of large vibration amplitudes on the fundamental mode shape of thin elastic structures, part II: Fully clamped rectangular isotropic plates J Sound Vib 164 1993 295 316
    • (1993) J Sound Vib , vol.164 , pp. 295-316
    • Benamar1    Bennouna, M.M.K.2    White, R.G.3
  • 36
    • 0028479779 scopus 로고
    • The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures, part III: Fully clamped rectangular isotropic plates-measurements of the mode shape amplitude dependence and the spatial distribution of harmonic distortion
    • R. Benamar, M.M.K. Bennouna, and R.G. White The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures, part III: fully clamped rectangular isotropic plates-measurements of the mode shape amplitude dependence and the spatial distribution of harmonic distortion J Sound Vib 175 1991 377 395
    • (1991) J Sound Vib , vol.175 , pp. 377-395
    • Benamar, R.1    Bennouna, M.M.K.2    White, R.G.3
  • 37
    • 0037172108 scopus 로고    scopus 로고
    • Experimental and theoretical investigation of the linear and non-linear dynamic behaviour of a Glare 3 hybrid composite panel
    • B. Harras, R. Benamar, and R.G. White Experimental and theoretical investigation of the linear and non-linear dynamic behaviour of a Glare 3 hybrid composite panel J Sound Vib 2 2002 281 315
    • (2002) J Sound Vib , vol.2 , pp. 281-315
    • Harras, B.1    Benamar, R.2    White, R.G.3
  • 38
    • 0037018544 scopus 로고    scopus 로고
    • Geometrically non-linear free vibration of fully clamped symmetrically laminated rectangular composite plates
    • B. Harras, R. Benamar, and R.G. White Geometrically non-linear free vibration of fully clamped symmetrically laminated rectangular composite plates J Sound Vib 4 2002 579 619
    • (2002) J Sound Vib , vol.4 , pp. 579-619
    • Harras, B.1    Benamar, R.2    White, R.G.3
  • 39
    • 0036535002 scopus 로고    scopus 로고
    • Investigation of non-linear free vibrations of fully clamped symmetrically laminated carbon-fibre-reinforced PEEK (AS4/APC2) rectangular composite panels
    • B. Harras, R. Benamar, and R.G. White Investigation of non-linear free vibrations of fully clamped symmetrically laminated carbon-fibre-reinforced PEEK (AS4/APC2) rectangular composite panels Compos Sci Technol 62 2002 719 727
    • (2002) Compos Sci Technol , vol.62 , pp. 719-727
    • Harras, B.1    Benamar, R.2    White, R.G.3
  • 40
    • 0000666780 scopus 로고    scopus 로고
    • The non-linear free vibration of fully clamped rectangular plates: Second non-linear mode for various plate aspect ratio
    • M. El Kadiri, R. Benamar, and R.G. White The non-linear free vibration of fully clamped rectangular plates: Second non-linear mode for various plate aspect ratio J Sound Vib 288 2 1999 333 358
    • (1999) J Sound Vib , vol.288 , Issue.2 , pp. 333-358
    • El Kadiri, M.1    Benamar, R.2    White, R.G.3
  • 41
    • 0037050265 scopus 로고    scopus 로고
    • Improvement of the semi-analytical method, based on Hamilton's principle and spectral analysis, for determination of the geometrically non-linear free response of thin straight structures. Part I: Application to C-C and SS-C beams
    • M. El Kadiri, R. Benamar, and R.G. White Improvement of the semi-analytical method, based on Hamilton's principle and spectral analysis, for determination of the geometrically non-linear free response of thin straight structures. Part I: Application to C-C and SS-C beams J Sound Vib 249 2002 263 305
    • (2002) J Sound Vib , vol.249 , pp. 263-305
    • El Kadiri, M.1    Benamar, R.2    White, R.G.3
  • 42
    • 30644457809 scopus 로고    scopus 로고
    • Improvement of the semi-analytical method, based on Hamilton's principle and spectral analysis, for determination of the geometrically non-linear free response of thin straight structures. Part II: First and second non-linear mode shapes of fully clamped rectangular plates
    • M. El Kadiri, R. Benamar, and R.G. White Improvement of the semi-analytical method, based on Hamilton's principle and spectral analysis, for determination of the geometrically non-linear free response of thin straight structures. Part II: first and second non-linear mode shapes of fully clamped rectangular plates J Sound Vib 257 2002 16 62
    • (2002) J Sound Vib , vol.257 , pp. 16-62
    • El Kadiri, M.1    Benamar, R.2    White, R.G.3
  • 43
    • 0037494989 scopus 로고    scopus 로고
    • Improvement of the semi-analytical method, based on Hamilton's principle and spectral analysis, for determination of the geometrically non-linear free response of thin straight structures. Part III: Application to the geometrically non-linear steady-state periodic forced response of simply supported and fully clamped rectangular plates. Application to a single and simplified multimode approach
    • M. El Kadiri, R. Benamar, and R.G. White Improvement of the semi-analytical method, based on Hamilton's principle and spectral analysis, for determination of the geometrically non-linear free response of thin straight structures. Part III: Application to the geometrically non-linear steady-state periodic forced response of simply supported and fully clamped rectangular plates. Application to a single and simplified multimode approach J Sound Vib 264 1 2003 1 35
    • (2003) J Sound Vib , vol.264 , Issue.1 , pp. 1-35
    • El Kadiri, M.1    Benamar, R.2    White, R.G.3
  • 44
    • 0001290204 scopus 로고    scopus 로고
    • The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells. Part I: Coupled transverse-circumferential mode shapes of isotropic circular cylindrical shells of infinite length
    • F. Moussaoui, R. Benamar, and R.G. White The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells. Part I: Coupled transverse-circumferential mode shapes of isotropic circular cylindrical shells of infinite length J Sound Vib 232 2000 917 943
    • (2000) J Sound Vib , vol.232 , pp. 917-943
    • Moussaoui, F.1    Benamar, R.2    White, R.G.3
  • 45
    • 0037194564 scopus 로고    scopus 로고
    • The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells. Part. II: A new approach for free transverse vibration of cylindrical shells of infinite length, and of finite length considered at large circumferential wave number
    • F. Moussaoui, R. Benamar, and R.G. White The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells. Part. II: a new approach for free transverse vibration of cylindrical shells of infinite length, and of finite length considered at large circumferential wave number J Sound Vib 255 5 2002 931 963
    • (2002) J Sound Vib , vol.255 , Issue.5 , pp. 931-963
    • Moussaoui, F.1    Benamar, R.2    White, R.G.3
  • 47
    • 0038013712 scopus 로고    scopus 로고
    • Geometrically non-linear free vibrations of clamped simply supported rectangular plates. Part I: The effects of large vibration amplitudes on the fundamental mode shape
    • K. EL Bikri, R. Benamar, and M.M. Bennouna Geometrically non-linear free vibrations of clamped simply supported rectangular plates. Part I: the effects of large vibration amplitudes on the fundamental mode shape Comput Struct 81 2003 2029 2043
    • (2003) Comput Struct , vol.81 , pp. 2029-2043
    • Bikri, K.E.L.1    Benamar, R.2    Bennouna, M.M.3
  • 48
    • 0003951930 scopus 로고
    • Second ed. Macmillan and Co. London
    • L. Rayleigh Theory of Sound Second ed. 1945 Macmillan and Co. London
    • (1945) Theory of Sound
    • Rayleigh, L.1
  • 49
    • 0001088944 scopus 로고    scopus 로고
    • A technique for the systematic choice of admissible functions in the Rayleigh-Ritz method
    • M. Amabili, and R. Garziera A technique for the systematic choice of admissible functions in the Rayleigh-Ritz method J Sound Vib 224 1999 519 539
    • (1999) J Sound Vib , vol.224 , pp. 519-539
    • Amabili, M.1    Garziera, R.2
  • 50
    • 85123615747 scopus 로고
    • Analyses of stresses and strains near the end of a crack transversing a plate
    • G.R. Irwin Analyses of stresses and strains near the end of a crack transversing a plate J Appl Mech 24 1957 361 364
    • (1957) J Appl Mech , vol.24 , pp. 361-364
    • Irwin, G.R.1
  • 54
    • 0037470868 scopus 로고    scopus 로고
    • Free vibration of structures with cubic non-linearity-remarks on amplitude equation and Rayleigh quotient
    • R. Lewandowski Free vibration of structures with cubic non-linearity-remarks on amplitude equation and Rayleigh quotient Comput Meth Appl Mech Eng 192 2003 1681 1709
    • (2003) Comput Meth Appl Mech Eng , vol.192 , pp. 1681-1709
    • Lewandowski, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.