메뉴 건너뛰기




Volumn 221, Issue 1-2, 2011, Pages 23-38

Nonlinear forced vibration analysis of clamped functionally graded beams

Author keywords

[No Author keywords available]

Indexed keywords

EFFECTS OF MATERIALS; EULER BERNOULLI BEAM THEORY; FORCED VIBRATION; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED BEAMS; GALERKIN; GEOMETRIC NON-LINEARITY; MATERIAL PROPERTY; MULTIPLE TIME SCALE; NONLINEAR DYNAMIC BEHAVIORS; NONLINEAR PROBLEMS; NONLINEAR TERMS; ORDINARY EQUATIONS; POWER LAW DISTRIBUTION; SECOND ORDERS; THICKNESS DIRECTION;

EID: 80052561050     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-011-0491-1     Document Type: Article
Times cited : (69)

References (29)
  • 2
    • 0001075516 scopus 로고    scopus 로고
    • Modeling and design of multi-layered and graded materials
    • PII S0079642597000170
    • S. Suresh A. Mortensen 1997 Modeling and design of multi-layered and graded materials Prog. Mater. Sci. 42 243 251 10.1016/S0079-6425(97)00017-0 (Pubitemid 127421995)
    • (1997) Progress in Materials Science , vol.42 , Issue.1-4 , pp. 243-251
    • Suresh, S.1
  • 3
    • 0038522813 scopus 로고    scopus 로고
    • A new beam finite element for the analysis of functionally graded materials
    • 1035.74053 10.1016/S0020-7403(03)00058-4
    • A. Chakraborty S. Gopalakrishnan J.N. Reddy 2003 A new beam finite element for the analysis of functionally graded materials Int. J. Mech. Sci. 45 519 539 1035.74053 10.1016/S0020-7403(03)00058-4
    • (2003) Int. J. Mech. Sci. , vol.45 , pp. 519-539
    • Chakraborty, A.1    Gopalakrishnan, S.2    Reddy, J.N.3
  • 4
    • 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 2001 An elasticity solution for functionally graded beams Compos. Sci. Technol. 61 689 696 10.1016/S0266-3538(01)00007-0 (Pubitemid 32418288)
    • (2001) Composites Science and Technology , vol.61 , Issue.5 , pp. 689-696
    • Sankar, B.V.1
  • 5
    • 0036602795 scopus 로고    scopus 로고
    • Thermal stresses in functionally graded beams
    • B.V. Sankar J.T. Taeng 2002 Thermal stresses in functionally graded beams AIAA J. 40 1228 1232 10.2514/2.1775 (Pubitemid 34648457)
    • (2002) AIAA Journal , vol.40 , Issue.6 , pp. 1228-1232
    • Sankar, B.V.1    Tzeng, J.T.2
  • 6
    • 0942277924 scopus 로고    scopus 로고
    • Elasticity solution for stresses in a sandwich beam with functionally graded core
    • 10.2514/2.6853
    • S. Venkataraman B.V. Sankar 2003 Elasticity solution for stresses in a sandwich beam with functionally graded core AIAA J. 41 2501 2505 10.2514/2.6853
    • (2003) AIAA J. , vol.41 , pp. 2501-2505
    • Venkataraman, S.1    Sankar, B.V.2
  • 7
    • 12344316045 scopus 로고    scopus 로고
    • A combined Fourier series-Galerkin method for the analysis of functionally graded beams
    • DOI 10.1115/1.1751184
    • H. Zhu B.V. Sankar 2004 A combined Fourier series-Galerkin method for the analysis of functionally graded beams ASME J. Appl. Mech. 71 421 423 1111.74747 10.1115/1.1751184 (Pubitemid 40122612)
    • (2004) Journal of Applied Mechanics, Transactions ASME , vol.71 , Issue.3 , pp. 421-424
    • Zhu, H.1    Sankar, B.V.2
  • 8
    • 10844222415 scopus 로고    scopus 로고
    • Functionally graded piezoelectric cantilever beam under load
    • DOI 10.1007/s00419-004-0346-5
    • Z.F. Shi Y. Chen 2004 Functionally graded piezoelectric cantilever beam under load Arch. Appl. Mech. 74 237 247 1119.74466 (Pubitemid 40003335)
    • (2004) Archive of Applied Mechanics , vol.74 , Issue.3-4 , pp. 237-247
    • Shi, Z.F.1    Chen, Y.2
  • 9
    • 29144493429 scopus 로고    scopus 로고
    • Thermoelastic stresses in composite beams with functionally gRaded Layer
    • DOI 10.1177/0731684405054375
    • K. Nirmala P.C. Upadhyay J. Prucz D. Loyns 2005 Thermoelastic stresses in composite beams with functionally graded layer J. Reinf. Plast. Compos. 24 1965 1977 10.1177/0731684405054375 (Pubitemid 41812832)
    • (2005) Journal of Reinforced Plastics and Composites , vol.24 , Issue.18 , pp. 1965-1977
    • Nirmala, K.1    Upadhyay, P.C.2    Prucz, J.3    Loyns, D.4
  • 10
    • 12544257798 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin analysis for 2D functionally graded elastic solids under mechanical and thermal loads
    • DOI 10.1016/j.compositesb.2004.09.007, PII S1359836804001362
    • H.K. Ching S.C. Yen 2005 Meshless local Petrov-Galerkin analysis for 2D functionally graded elastic solids under mechanical and thermal loads Compos. Part B Eng. 36 223 240 10.1016/j.compositesb.2004.09.007 (Pubitemid 40151901)
    • (2005) Composites Part B: Engineering , vol.36 , Issue.3 , pp. 223-240
    • Ching, H.K.1    Yen, S.C.2
  • 11
    • 33644647655 scopus 로고    scopus 로고
    • Transient thermoelastic deformations of 2-D functionally graded beams under nonuniformly convective heat supply
    • DOI 10.1016/j.compstruct.2005.02.021, PII S0263822305000565
    • H.K. Ching S.C. Yen 2006 Transient thermoelastic deformations of 2D functionally graded beams under nonuniformly connective heat supply Compos. Struct. 73 381 393 10.1016/j.compstruct.2005.02.021 (Pubitemid 43323650)
    • (2006) Composite Structures , vol.73 , Issue.4 , pp. 381-393
    • Ching, H.K.1    Yen, S.C.2
  • 12
    • 39049124910 scopus 로고    scopus 로고
    • Free vibration of orthotropic functionally graded beams with various end conditions
    • C.F. Lu W.Q. Chen 2005 Free vibration of orthotropic functionally graded beams with various end conditions Struct. Eng. Mech. 13 1430 1437
    • (2005) Struct. Eng. Mech. , vol.13 , pp. 1430-1437
    • Lu, C.F.1    Chen, W.Q.2
  • 13
    • 18444409026 scopus 로고    scopus 로고
    • Semi-inverse method for axially functionally graded beams with an anti-symmetric vibration mode
    • DOI 10.1016/j.jsv.2004.08.038, PII S0022460X04007011
    • L. Wu Q.S. Wang I. Elishakoff 2005 Semi-inverse method for axially functionally graded beams with an anti-symmetric vibration mode J. Sound Vib. 284 1190 1202 10.1016/j.jsv.2004.08.038 (Pubitemid 40643857)
    • (2005) Journal of Sound and Vibration , vol.284 , Issue.3-5 , pp. 1190-1202
    • Wu, L.1    Wang, Q.-S.2    Elishakoff, I.3
  • 14
    • 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 V. Taskin 2007 Free vibration analysis of functionally graded beams with simply supported edges Mater. Des. 28 1651 1656 10.1016/j.matdes. 2006.02.007 (Pubitemid 44849250)
    • (2007) Materials and Design , vol.28 , Issue.5 , pp. 1651-1656
    • Aydogdu, M.1    Taskin, V.2
  • 15
    • 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 Y. Chen 2008 Free vibration and buckling analysis of functionally graded beams with edge cracks Compos. Struct. 83 48 60 10.1016/j.compstruct. 2007.03.006 (Pubitemid 350215223)
    • (2008) Composite Structures , vol.83 , Issue.1 , pp. 48-60
    • Yang, J.1    Chen, Y.2
  • 16
    • 35148866568 scopus 로고    scopus 로고
    • Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation
    • DOI 10.1016/j.compstruct.2007.01.019, PII S0263822307000220
    • S. Kapuria M. Bhattacharyya A.N. Kumar 2008 Bending and free vibration response of layered functionally graded beams: a theoretical model and its experimental validation Compos. Struct. 82 390 402 10.1016/j.compstruct.2007.01. 019 (Pubitemid 47543553)
    • (2008) Composite Structures , vol.82 , Issue.3 , pp. 390-402
    • Kapuria, S.1    Bhattacharyya, M.2    Kumar, A.N.3
  • 17
    • 33845908747 scopus 로고    scopus 로고
    • Analytical solution of a cantilever functionally graded beam
    • DOI 10.1016/j.compscitech.2006.08.023, PII S0266353806003332
    • Z. Zhong T. Yu 2007 Analytical solution of a cantilever functionally graded beam Compos. Sci. Technol. 67 481 488 10.1016/j.compscitech.2006.08.023 (Pubitemid 46024426)
    • (2007) Composites Science and Technology , vol.67 , Issue.3-4 , pp. 481-488
    • Zhong, Z.1    Yu, T.2
  • 18
    • 40849085321 scopus 로고    scopus 로고
    • Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations
    • DOI 10.1016/j.compstruct.2007.07.004, PII S0263822307001912
    • J. Ying C.F. Lü W.Q. Chen 2008 Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations Compos. Struct. 84 209 219 10.1016/j.compstruct.2007.07.004 (Pubitemid 351396257)
    • (2008) Composite Structures , vol.84 , Issue.3 , pp. 209-219
    • Ying, J.1    Lu, C.F.2    Chen, W.Q.3
  • 19
    • 55349145939 scopus 로고    scopus 로고
    • A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler- Bernoulli beams
    • 10.1016/j.jsv.2008.04.056
    • X.F. Li 2008 A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler- Bernoulli beams J. Sound. Vib. 318 1210 1229 10.1016/j.jsv.2008.04.056
    • (2008) J. Sound. Vib. , vol.318 , pp. 1210-1229
    • Li, X.F.1
  • 20
    • 78650713429 scopus 로고    scopus 로고
    • An analytical study on the nonlinear vibration of functionally graded beams
    • 2738267 10.1007/s11012-009-9276-1
    • L.L. Ke J. Yang S. Kitipornchai 2010 An analytical study on the nonlinear vibration of functionally graded beams Meccanica 45 743 752 2738267 10.1007/s11012-009-9276-1
    • (2010) Meccanica , vol.45 , pp. 743-752
    • Ke, L.L.1    Yang, J.2    Kitipornchai, S.3
  • 21
    • 67449158734 scopus 로고    scopus 로고
    • Free vibration analysis of sandwich structures with a flexible functionally graded syntactic core
    • Rahmani, O., Khalili, S.M.R., Malekzadeh, K., Hadavinia, H.: Free vibration analysis of sandwich structures with a flexible functionally graded syntactic core. Compos. Struct. (2009)
    • (2009) Compos. Struct.
    • Rahmani, O.1    Khalili, S.M.R.2    Malekzadeh, K.3    Hadavinia, H.4
  • 22
    • 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 X.L. Jia 2008 Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load J. Sound Vib. 312 166 181 10.1016/j.jsv.2007.10.034 (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
  • 23
    • 67349159858 scopus 로고    scopus 로고
    • Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load
    • 10.1016/j.compstruct.2009.04.024
    • M. Simsek T. Kocatürk 2009 Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load Compos. Struct. 90 465 473 10.1016/j.compstruct.2009.04.024
    • (2009) Compos. Struct. , vol.90 , pp. 465-473
    • Simsek, M.1    Kocatürk, T.2
  • 26
    • 70350732064 scopus 로고    scopus 로고
    • Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials
    • 10.1080/15376490902781175
    • L.L. Ke J. Yang S. Kitipornchai Y. Xiang 2009 Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials Mech. Adv. Mater. Struct. 16 488 502 10.1080/15376490902781175
    • (2009) Mech. Adv. Mater. Struct. , vol.16 , pp. 488-502
    • Ke, L.L.1    Yang, J.2    Kitipornchai, S.3    Xiang, Y.4
  • 27
    • 67349216203 scopus 로고    scopus 로고
    • Postbuckling analysis of edge cracked functionally graded Timoshenko beams under end shortening
    • 10.1016/j.compstruct.2009.03.003
    • L.L. Ke J. Yang S. Kitipornchai 2009 Postbuckling analysis of edge cracked functionally graded Timoshenko beams under end shortening Compos. Struct. 90 152 160 10.1016/j.compstruct.2009.03.003
    • (2009) Compos. Struct. , vol.90 , pp. 152-160
    • Ke, L.L.1    Yang, J.2    Kitipornchai, S.3
  • 28
    • 60449092814 scopus 로고    scopus 로고
    • Static and dynamic analysis of micro beams based on strain gradient elasticity theory
    • 2503148 1213.74190 10.1016/j.ijengsci.2008.08.008
    • S.L. Kong S.J. Zhou Z.F. Nie K. Wang 2009 Static and dynamic analysis of micro beams based on strain gradient elasticity theory Int. J. Eng. Sci. 47 487 498 2503148 1213.74190 10.1016/j.ijengsci.2008.08.008
    • (2009) Int. J. Eng. Sci. , vol.47 , pp. 487-498
    • Kong, S.L.1    Zhou, S.J.2    Nie, Z.F.3    Wang, K.4
  • 29
    • 0344924082 scopus 로고
    • On non-linear free vibrations of a beam with pinned ends
    • M.A. Foda 1995 On non-linear free vibrations of a beam with pinned ends J. King Saud Univ. 7 93 107
    • (1995) J. King Saud Univ. , vol.7 , pp. 93-107
    • Foda, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.