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Volumn 23, Issue 6, 2009, Pages 1870-1883

Transcendental inverse eigenvalue problems in damage parameter estimation

Author keywords

Axially vibrating rods; Inverse eigenvalue problem; Multiple damage; Structural health monitoring; Vibration

Indexed keywords

ANTI-RESONANT FREQUENCIES; AXIAL RIGIDITIES; AXIALLY VIBRATING RODS; CHARACTERISTIC FREQUENCIES; CLOSED FORMS; CONTINUOUS STRUCTURES; DAMAGE PARAMETERS; EIGEN VALUES; EIGENVALUE PROBLEMS; EXPERIMENTAL EVIDENCES; INVERSE EIGENVALUE PROBLEM; LINEAR SPRINGS; MULTIPLE DAMAGE; NUMERICAL EXAMPLES; OPEN CRACKS; SOLUTION APPROACHES; TRANSCENDENTAL EIGENVALUE PROBLEMS; VIBRATION;

EID: 67349104488     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2008.05.009     Document Type: Article
Times cited : (18)

References (42)
  • 1
    • 0030290066 scopus 로고    scopus 로고
    • Vibration of cracked structures: a state of the art review
    • Dimarogonas A.D. Vibration of cracked structures: a state of the art review. Engineering Fracture Mechanics 55 (1996) 831-857
    • (1996) Engineering Fracture Mechanics , vol.55 , pp. 831-857
    • Dimarogonas, A.D.1
  • 2
    • 0031237412 scopus 로고    scopus 로고
    • Detection of structural damage through changes in frequencies: A review
    • Salawu O.S. Detection of structural damage through changes in frequencies: A review. Engineering Structures 19 (1997) 718-723
    • (1997) Engineering Structures , vol.19 , pp. 718-723
    • Salawu, O.S.1
  • 3
    • 0032023438 scopus 로고    scopus 로고
    • A summary review of vibration-based damage identification methods
    • Doebling S.W., Farrar C.R., and Prime M.B. A summary review of vibration-based damage identification methods. Shock and Vibration Digest 30 (1998) 91-105
    • (1998) Shock and Vibration Digest , vol.30 , pp. 91-105
    • Doebling, S.W.1    Farrar, C.R.2    Prime, M.B.3
  • 7
    • 0018456943 scopus 로고
    • The locations of defects in structures from measurements of natural frequencies
    • Cawley P., and Adams R.D. The locations of defects in structures from measurements of natural frequencies. Journal of Strain Analysis 14 (1979) 49-57
    • (1979) Journal of Strain Analysis , vol.14 , pp. 49-57
    • Cawley, P.1    Adams, R.D.2
  • 8
    • 0028425813 scopus 로고
    • Identification of crack location in vibrating simply supported beams
    • Narkis Y. Identification of crack location in vibrating simply supported beams. Journal of Sound and Vibration 172 (1994) 549-558
    • (1994) Journal of Sound and Vibration , vol.172 , pp. 549-558
    • Narkis, Y.1
  • 9
    • 0001261013 scopus 로고
    • Detection of cracks in beam structures using measurements of natural frequencies
    • Liang R.Y., Choy F.K., and Hu J. Detection of cracks in beam structures using measurements of natural frequencies. Journal of the Franklin Institute 328 4 (1991) 505-518
    • (1991) Journal of the Franklin Institute , vol.328 , Issue.4 , pp. 505-518
    • Liang, R.Y.1    Choy, F.K.2    Hu, J.3
  • 11
    • 0031192239 scopus 로고    scopus 로고
    • Damage detection using a modified Laplacian operator on mode shape data
    • Ratcliffe C.P. Damage detection using a modified Laplacian operator on mode shape data. Journal of Sound and Vibration 204 (1997) 505-517
    • (1997) Journal of Sound and Vibration , vol.204 , pp. 505-517
    • Ratcliffe, C.P.1
  • 12
    • 0025703027 scopus 로고
    • Identification of crack location and magnitude in a cantilever beam from the vibration modes
    • Rizos P.F., Aspragatos N., and Dimarogonas A.D. Identification of crack location and magnitude in a cantilever beam from the vibration modes. Journal of Sound and Vibration 138 3 (1990) 381-388
    • (1990) Journal of Sound and Vibration , vol.138 , Issue.3 , pp. 381-388
    • Rizos, P.F.1    Aspragatos, N.2    Dimarogonas, A.D.3
  • 15
    • 0000908394 scopus 로고    scopus 로고
    • A uniqueness result on crack location in vibrating rods
    • Morassi A. A uniqueness result on crack location in vibrating rods. Inverse Problems in Engineering 4 (1997) 231-254
    • (1997) Inverse Problems in Engineering , vol.4 , pp. 231-254
    • Morassi, A.1
  • 16
    • 0035837498 scopus 로고    scopus 로고
    • Identification of a crack in a rod based on changes in a pair of natural frequencies
    • Morassi A. Identification of a crack in a rod based on changes in a pair of natural frequencies. Journal of Sound and Vibration 242 (2001) 577-596
    • (2001) Journal of Sound and Vibration , vol.242 , pp. 577-596
    • Morassi, A.1
  • 17
    • 3142607367 scopus 로고    scopus 로고
    • The use of antiresonances for crack detection in beams
    • Dilena M., and Morassi A. The use of antiresonances for crack detection in beams. Journal of Sound and Vibration 276 (2004) 195-214
    • (2004) Journal of Sound and Vibration , vol.276 , pp. 195-214
    • Dilena, M.1    Morassi, A.2
  • 19
    • 0026241436 scopus 로고
    • Analysis of the effect of cracks on the natural frequencies of a cantilever beam
    • Ostachowicz W.M., and Krawczuk M. Analysis of the effect of cracks on the natural frequencies of a cantilever beam. Journal of Sound and Vibration 150 2 (1991) 191-201
    • (1991) Journal of Sound and Vibration , vol.150 , Issue.2 , pp. 191-201
    • Ostachowicz, W.M.1    Krawczuk, M.2
  • 20
    • 0031549548 scopus 로고    scopus 로고
    • Damage assessment of multiple cracked beams: Numerical results and experimental validation
    • Ruotolo R., and Surace C. Damage assessment of multiple cracked beams: Numerical results and experimental validation. Journal of Sound and Vibration 206 4 (1997) 567-588
    • (1997) Journal of Sound and Vibration , vol.206 , Issue.4 , pp. 567-588
    • Ruotolo, R.1    Surace, C.2
  • 21
    • 0001074458 scopus 로고    scopus 로고
    • Natural frequencies of a beam with an arbitrary number of cracks
    • Shifrin E., and Ruotolo R. Natural frequencies of a beam with an arbitrary number of cracks. Journal of Sound and Vibration 222 3 (1999) 409-423
    • (1999) Journal of Sound and Vibration , vol.222 , Issue.3 , pp. 409-423
    • Shifrin, E.1    Ruotolo, R.2
  • 22
    • 0035855715 scopus 로고    scopus 로고
    • Natural frequency changes of a cracked Timoshenko beam by modified Fourier series
    • Zheng D.Y., and Fan S.C. Natural frequency changes of a cracked Timoshenko beam by modified Fourier series. Journal of Sound and Vibration 246 2 (2001) 297-317
    • (2001) Journal of Sound and Vibration , vol.246 , Issue.2 , pp. 297-317
    • Zheng, D.Y.1    Fan, S.C.2
  • 23
    • 0035837504 scopus 로고    scopus 로고
    • Natural frequencies of a non-uniform beam with multiple cracks via modified Fourier series
    • Zheng D.Y., and Fan S.C. Natural frequencies of a non-uniform beam with multiple cracks via modified Fourier series. Journal of Sound and Vibration 242 4 (2001) 701-717
    • (2001) Journal of Sound and Vibration , vol.242 , Issue.4 , pp. 701-717
    • Zheng, D.Y.1    Fan, S.C.2
  • 24
    • 0035939898 scopus 로고    scopus 로고
    • A simplified method for natural frequency analysis of a multiple cracked beam
    • Khiem N.T., and Lien T.V. A simplified method for natural frequency analysis of a multiple cracked beam. Journal of Sound and Vibration 245 4 (2001) 737-751
    • (2001) Journal of Sound and Vibration , vol.245 , Issue.4 , pp. 737-751
    • Khiem, N.T.1    Lien, T.V.2
  • 25
    • 0037007770 scopus 로고    scopus 로고
    • Free vibration analysis of non-uniform beams with an arbitrary number of cracks and concentrated masses
    • Li Q.S. Free vibration analysis of non-uniform beams with an arbitrary number of cracks and concentrated masses. Journal of Sound and Vibration 252 3 (2002) 509-525
    • (2002) Journal of Sound and Vibration , vol.252 , Issue.3 , pp. 509-525
    • Li, Q.S.1
  • 26
    • 1942485276 scopus 로고    scopus 로고
    • Natural frequencies of a bar with multiple cracks
    • Ruotolo R., and Surace C. Natural frequencies of a bar with multiple cracks. Journal of Sound and Vibration 272 (2004) 301-316
    • (2004) Journal of Sound and Vibration , vol.272 , pp. 301-316
    • Ruotolo, R.1    Surace, C.2
  • 27
    • 0025415997 scopus 로고
    • Dynamic behaviour and crack detection of a beam with a crack
    • Qian G.-L., Gu S.-N., and Jiang J.-S. Dynamic behaviour and crack detection of a beam with a crack. Journal of Sound and Vibration 138 2 (1990) 233-243
    • (1990) Journal of Sound and Vibration , vol.138 , Issue.2 , pp. 233-243
    • Qian, G.-L.1    Gu, S.-N.2    Jiang, J.-S.3
  • 28
    • 0023843360 scopus 로고    scopus 로고
    • A finite element of a cracked prismatic beam for a structural analysis
    • Gounaris G., and Dimarogonas A.D. A finite element of a cracked prismatic beam for a structural analysis. Computer and Structures 28 3 (1998) 309-313
    • (1998) Computer and Structures , vol.28 , Issue.3 , pp. 309-313
    • Gounaris, G.1    Dimarogonas, A.D.2
  • 29
    • 0001069053 scopus 로고
    • On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
    • Paine J.W., de Hoog F., and Anderssen R.S. On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems. Computing 26 (1981) 123-139
    • (1981) Computing , vol.26 , pp. 123-139
    • Paine, J.W.1    de Hoog, F.2    Anderssen, R.S.3
  • 30
    • 0028320755 scopus 로고
    • Constructing a finite element model of a vibratory rod from eigendata
    • Ram Y.M., and Gladwell G.M.L. Constructing a finite element model of a vibratory rod from eigendata. Journal of Sound and Vibration 169 2 (1994) 229-237
    • (1994) Journal of Sound and Vibration , vol.169 , Issue.2 , pp. 229-237
    • Ram, Y.M.1    Gladwell, G.M.L.2
  • 34
    • 0037149207 scopus 로고    scopus 로고
    • Simplified models for the location of cracks in beam structures using measured vibration data
    • Sinha J.K., Friswell M.I., and Edwards S. Simplified models for the location of cracks in beam structures using measured vibration data. Journal of Sound and Vibration 251 1 (2002) 13-38
    • (2002) Journal of Sound and Vibration , vol.251 , Issue.1 , pp. 13-38
    • Sinha, J.K.1    Friswell, M.I.2    Edwards, S.3
  • 35
    • 29344432988 scopus 로고    scopus 로고
    • Symmetry preserving eigenvalue embedding in finite-element model updating of vibrating structures
    • Carvalho J.B., Datta B.N., Lin W.W., and Wang C.S. Symmetry preserving eigenvalue embedding in finite-element model updating of vibrating structures. Journal of Sound and Vibration 290 (2006) 839-864
    • (2006) Journal of Sound and Vibration , vol.290 , pp. 839-864
    • Carvalho, J.B.1    Datta, B.N.2    Lin, W.W.3    Wang, C.S.4
  • 36
    • 0036235766 scopus 로고    scopus 로고
    • Finite-element model updating, eigenstructure assignment and eigenvalue embedding techniques for vibrating systems
    • Datta B.N. Finite-element model updating, eigenstructure assignment and eigenvalue embedding techniques for vibrating systems. Mechanical Systems and Signal Processing 16 (2002) 83-96
    • (2002) Mechanical Systems and Signal Processing , vol.16 , pp. 83-96
    • Datta, B.N.1
  • 39
    • 33645166187 scopus 로고    scopus 로고
    • A transcendental inverse eigenvalue problem associated with longitudinal vibrations in rods
    • Singh K.V., and Ram Y.M. A transcendental inverse eigenvalue problem associated with longitudinal vibrations in rods. AIAA Journal 44 2 (2006) 317-332
    • (2006) AIAA Journal , vol.44 , Issue.2 , pp. 317-332
    • Singh, K.V.1    Ram, Y.M.2
  • 40
    • 0024067172 scopus 로고
    • Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently
    • Williams F.W., and Kennedy D. Reliable use of determinants to solve non-linear structural eigenvalue problems efficiently. International Journal for Numerical Methods in Engineering 26 8 (1988) 1825-1841
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , Issue.8 , pp. 1825-1841
    • Williams, F.W.1    Kennedy, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.