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Volumn 331, Issue 7, 2012, Pages 1686-1700

An analytical method for free vibration analysis of functionally graded beams with edge cracks

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL METHOD; ARBITRARY NUMBER; AXIAL LOADING; COMPREHENSIVE ANALYSIS; CORRESPONDING SOLUTIONS; DAMAGED STRUCTURES; DESIGN AND CONTROL; EDGE CRACKS; EIGENVALUE EQUATIONS; EULER-BERNOULLI; FREE VIBRATION; FREE VIBRATION PROBLEM; FREE-VIBRATION ANALYSIS; FUNCTIONALLY GRADED BEAMS; GOVERNING DIFFERENTIAL EQUATIONS; MATERIAL PROPERTY; RECURRENCE FORMULAS; ROTARY INERTIAS; ROTATIONAL SPRING MODEL; THIRD-ORDER; TIMOSHENKO BEAMS; UNIFIED PROCEDURES; VIBRATING BEAM; VIBRATION MODES;

EID: 84855811872     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2011.11.020     Document Type: Article
Times cited : (94)

References (35)
  • 1
    • 36749048659 scopus 로고    scopus 로고
    • Free vibration and buckling analyses of functionally graded beams with edge cracks
    • DOI 10.1016/j.compstruct.2007.03.006, PII S0263822307001006
    • J. Yang, and Y. Chen Free vibration and buckling analyses of functionally graded beams with edge cracks Composite Structure 83 2008 48 60 (Pubitemid 350215223)
    • (2008) Composite Structures , vol.83 , Issue.1 , pp. 48-60
    • Yang, J.1    Chen, Y.2
  • 3
    • 0035545931 scopus 로고    scopus 로고
    • Dynamic response of initially stressed functionally graded rectangular thin plates
    • DOI 10.1016/S0263-8223(01)00122-2, PII S0263822301001222
    • J. Yang, and H.S. Shen Dynamic response of initially stressed functionally graded rectangular thin plates Composite Structure 54 4 2001 497 508 (Pubitemid 33045432)
    • (2001) Composite Structures , vol.54 , Issue.4 , pp. 497-508
    • Yang, J.1    Shen, H.-S.2
  • 4
    • 2142713821 scopus 로고    scopus 로고
    • Three-dimensional exact solution for the vibration of functionally graded rectangular plates
    • S.S. Vel, and R.C. Batra Three-dimensional exact solution for the vibration of functionally graded rectangular plates Journal of Sound and Vibration 272 35 2004 703 730
    • (2004) Journal of Sound and Vibration , vol.272 , Issue.35 , pp. 703-730
    • Vel, S.S.1    Batra, R.C.2
  • 5
    • 32844465218 scopus 로고    scopus 로고
    • The second spectrum of Timoshenko beam theory - Further assessment
    • DOI 10.1016/j.jsv.2005.08.003, PII S0022460X05005213
    • N.G. Stephen The second spectrum of Timoshenko beam theory-further assessment Journal of Sound and Vibration 292 2006 372 389 (Pubitemid 43253693)
    • (2006) Journal of Sound and Vibration , vol.292 , Issue.1-2 , pp. 372-389
    • Stephen, N.G.1
  • 6
    • 59649093500 scopus 로고    scopus 로고
    • Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method
    • S.C. Pradhan, and T. Murmu Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method Journal of Sound and Vibration 321 12 2009 342 362
    • (2009) Journal of Sound and Vibration , vol.321 , Issue.12 , pp. 342-362
    • Pradhan, S.C.1    Murmu, T.2
  • 7
    • 0035304158 scopus 로고    scopus 로고
    • An elasticity solution for functionally graded beams
    • DOI 10.1016/S0266-3538(01)00007-0, PII S0266353801000070
    • B.V. Sankar An elasticity solution for functionally graded beams Composites Science and Technology 61 2001 689 696 (Pubitemid 32418288)
    • (2001) Composites Science and Technology , vol.61 , Issue.5 , pp. 689-696
    • Sankar, B.V.1
  • 8
    • 33845211960 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded beams with simply supported edges
    • DOI 10.1016/j.matdes.2006.02.007, PII S0261306906000562
    • M. Aydogdu, and V. Taskin Free vibration analysis of functionally graded beams with simply supported edges Materials and Design 28 2007 1651 1656 (Pubitemid 44849250)
    • (2007) Materials and Design , vol.28 , Issue.5 , pp. 1651-1656
    • Aydogdu, M.1    Taskin, V.2
  • 9
    • 55349145939 scopus 로고    scopus 로고
    • A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and EulerBernoulli beams
    • X.F. Li A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and EulerBernoulli beams Journal of Sound and Vibration 318 2008 1210 1229
    • (2008) Journal of Sound and Vibration , vol.318 , pp. 1210-1229
    • Li, X.F.1
  • 11
    • 63549104004 scopus 로고    scopus 로고
    • Vibration analysis of multiple-stepped beams with the composite element model
    • Z.R. Lu, M. Huang, and J.K. Liu Vibration analysis of multiple-stepped beams with the composite element model Journal of Sound and Vibration 322 45 2009 1070 1080
    • (2009) Journal of Sound and Vibration , vol.322 , Issue.45 , pp. 1070-1080
    • Lu, Z.R.1    Huang, M.2    Liu, J.K.3
  • 12
    • 67349187412 scopus 로고    scopus 로고
    • Identification of crack in functionally graded material beams using the p-version of finite element method
    • Z.G. Yu, and F.L. Chu Identification of crack in functionally graded material beams using the p-version of finite element method Journal of Sound and Vibration 325 12 2009 69 84
    • (2009) Journal of Sound and Vibration , vol.325 , Issue.12 , pp. 69-84
    • Yu, Z.G.1    Chu, F.L.2
  • 13
    • 0031988403 scopus 로고    scopus 로고
    • Vibration analysis of edge-cracked beams using a line-spring model
    • PII S0013794497001380
    • T. Yokoyama, and M.C. Chen Vibration analysis of edge-cracked beams using a line-spring model Engineering Fracture Mechanics 59 3 1998 403 409 (Pubitemid 128647755)
    • (1998) Engineering Fracture Mechanics , vol.59 , Issue.3 , pp. 403-409
    • Yokoyama, T.1    Chen, M.-C.2
  • 14
    • 0001074458 scopus 로고    scopus 로고
    • Natural frequencies of a beam with an arbitrary number of cracks
    • E.I. Shifrin, and R. Ruotolo Natural frequencies of a beam with arbitrary number of cracks Journal of Sound and Vibration 222 3 1999 409 423 (Pubitemid 129605834)
    • (1999) Journal of Sound and Vibration , vol.222 , Issue.3 , pp. 409-423
    • Shifrin, E.I.1    Ruotolo, R.2
  • 15
    • 0035314216 scopus 로고    scopus 로고
    • Buckling of multi-step cracked columns with shear deformation
    • DOI 10.1016/S0141-0296(00)00047-X
    • Q.S. Li Buckling of multi-step cracked columns with shear deformation Engineering Structures 23 2001 356 364 (Pubitemid 32030205)
    • (2001) Engineering Structures , vol.23 , Issue.4 , pp. 356-364
    • Li, Q.S.1
  • 16
    • 10244260442 scopus 로고    scopus 로고
    • Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method
    • M.H. Hsu Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method Computer Methods in Applied and Mechanics Engineering 194 1 2005 1 17
    • (2005) Computer Methods in Applied and Mechanics Engineering , vol.194 , Issue.1 , pp. 1-17
    • Hsu, M.H.1
  • 17
    • 30644460685 scopus 로고    scopus 로고
    • Geometrically non-linear free vibrations of clamped-clamped beams with an edge crack
    • DOI 10.1016/j.compstruc.2005.09.030, PII S0045794905003561
    • K. El Bikri, R. Benamar, and M.M. Bennouna Geometrically non-linear free vibrations of clamped-clamped beams with an edge crack Composite Structure 84 7 2006 485 502 (Pubitemid 43084772)
    • (2006) Computers and Structures , vol.84 , Issue.7 , pp. 485-502
    • El Bikri, K.1    Benamar, R.2    Bennouna, M.M.3
  • 18
    • 39049123164 scopus 로고    scopus 로고
    • Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load
    • DOI 10.1016/j.jsv.2007.10.034, PII S0022460X0700853X
    • J. Yang, Y. Chen, Y. Xiang, and X.L. Jia Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load Journal of Sound and Vibration 312 2008 166 181 (Pubitemid 351240928)
    • (2008) Journal of Sound and Vibration , vol.312 , Issue.1-2 , pp. 166-181
    • Yang, J.1    Chen, Y.2    Xiang, Y.3    Jia, X.L.4
  • 19
    • 70350732064 scopus 로고    scopus 로고
    • Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials
    • L.L. Ke, J. Yang, S. Kitipornchai, and Y. Xiang Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials Mechanics of Advanced Materials and Structures 16 2009 488 502
    • (2009) Mechanics of Advanced Materials and Structures , vol.16 , pp. 488-502
    • Ke, L.L.1    Yang, J.2    Kitipornchai, S.3    Xiang, Y.4
  • 20
    • 0019319707 scopus 로고
    • Non-linear free vibrations of stepped thickness beams
    • DOI 10.1016/0022-460X(80)90387-9
    • H. Sato Non-linear free-vibrations of stepped thickness beams Journal of Sound and Vibration 72 3 1980 415 422 (Pubitemid 11466065)
    • (1980) Journal of Sound and Vibration , vol.72 , Issue.3 , pp. 415-422
    • Sato, H.1
  • 22
    • 0033149396 scopus 로고    scopus 로고
    • Vibration and stability of non-uniform cracked Timoshenko beam subjected to follower force
    • I. Takahashi Vibration and stability of non-uniform cracked Timoshenko beam subjected to follower force Computers & Structures 71 5 1999 585 591
    • (1999) Computers & Structures , vol.71 , Issue.5 , pp. 585-591
    • Takahashi, I.1
  • 23
    • 0020500092 scopus 로고
    • Structural-analysis by a combined finite element- transfer matrix-method
    • M. Ohga, T. Shigematsu, and T. Hara Structural-analysis by a combined finite element- transfer matrix-method Computers & Structures 17 3 1983 321 326
    • (1983) Computers & Structures , vol.17 , Issue.3 , pp. 321-326
    • Ohga, M.1    Shigematsu, T.2    Hara, T.3
  • 24
    • 0032040975 scopus 로고    scopus 로고
    • Buckling mode localization in rib-stiffened plates with randomly misplaced stiffeners
    • W.C. Xie Buckling mode localization in rib-stiffened plates with randomly misplaced stiffeners Computers & Structures 67 13 1998 175 189
    • (1998) Computers & Structures , vol.67 , Issue.13 , pp. 175-189
    • Xie, W.C.1
  • 25
    • 0035395566 scopus 로고    scopus 로고
    • Buckling of multi-step non-uniform beams with elastically restrained boundary conditions
    • DOI 10.1016/S0143-974X(01)00010-4, PII S0143974X01000104
    • Q.S. Li Buckling of multi-step non-uniform beams with elastically restrained boundary conditions Journal of Constructional Steel Research 57 7 2001 753 777 (Pubitemid 32657261)
    • (2001) Journal of Constructional Steel Research , vol.57 , Issue.7 , pp. 753-777
    • Li, Q.S.1
  • 26
    • 0030109944 scopus 로고    scopus 로고
    • Generalized self-consistent model for composites with functionally graded and multilayered interphases. Transfer matrix approach
    • DOI 10.1016/0167-6636(95)00032-1
    • W. Huang, and S.I. Rokhlin Generalized self-consistent model for composites with functionally graded and multilayered interphases. Transfer matrix approach Mechanics of Materials 22 3 1996 219 247 (Pubitemid 126349518)
    • (1996) Mechanics of Materials , vol.22 , Issue.3 , pp. 219-247
    • Huang, W.1    Rokhlin, S.I.2
  • 27
    • 2942603377 scopus 로고    scopus 로고
    • Fracture analysis of functionally graded coatings: Plane deformation
    • G.Y. Huang, Y.S. Wang, and D. Gross Fracture analysis of functionally graded coatings: plane deformation European Journal of Mechanics a-Solids 22 4 2003 535 544
    • (2003) European Journal of Mechanics A-Solids , vol.22 , Issue.4 , pp. 535-544
    • Huang, G.Y.1    Wang, Y.S.2    Gross, D.3
  • 28
    • 4544337397 scopus 로고    scopus 로고
    • Recursive geometric integrators for wave propagation in a functionally graded multilayered elastic medium
    • L.G. Wang, and S.I. Rokhlin Recursive geometric integrators for wave propagation in a functionally graded multilayered elastic medium Journal of the Mechanics and Physics of Solids 52 11 2004 2473 2506
    • (2004) Journal of the Mechanics and Physics of Solids , vol.52 , Issue.11 , pp. 2473-2506
    • Wang, L.G.1    Rokhlin, S.I.2
  • 29
    • 0030216736 scopus 로고    scopus 로고
    • Some basic fracture mechanics concepts in functionally graded materials
    • DOI 10.1016/0022-5096(96)00041-5, PII S0022509696000415
    • Z.H. Jin, and R.C. Batra Some basic fracture mechanics concepts in functionally graded materials Journal of the Mechanics and Physics of Solids 44 8 1996 1221 1235 (Pubitemid 126359889)
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , Issue.8 , pp. 1221-1235
    • Jin, Z.-H.1    Batra, R.C.2
  • 30
  • 32
    • 67349250954 scopus 로고    scopus 로고
    • Nonlinear vibration of edge cracked functionally graded Timoshenko beams
    • S. Kitipornchai, L.L. Ke, J. Yang, and Y. Xiang Nonlinear vibration of edge cracked functionally graded Timoshenko beams Journal of Sound and Vibration 324 2009 962 982
    • (2009) Journal of Sound and Vibration , vol.324 , pp. 962-982
    • Kitipornchai, S.1    Ke, L.L.2    Yang, J.3    Xiang, Y.4
  • 33
    • 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 Engineering Fracture Mechanics 55 1996 831 857
    • (1996) Engineering Fracture Mechanics , vol.55 , pp. 831-857
    • Dimarogonas, A.D.1


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