메뉴 건너뛰기




Volumn 203, Issue 3-4, 2009, Pages 197-221

Shear deformation effect in flexural-torsional vibrations of beams by BEM

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; BOUNDARY INTEGRAL EQUATIONS; DEFORMATION; DIFFERENTIAL EQUATIONS; ELASTIC WAVES; FUNCTIONS; MACHINE VIBRATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION; SHEAR DEFORMATION; WEAVING;

EID: 60449088269     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-008-0041-7     Document Type: Article
Times cited : (18)

References (40)
  • 1
    • 34547918002 scopus 로고    scopus 로고
    • Vibration analysis of 3-D composite beam elements including warping and shear deformation effects
    • E.J. Sapountzakis V.G. Mokos 2007 Vibration analysis of 3-D composite beam elements including warping and shear deformation effects J. Sound Vib. 306 818 834
    • (2007) J. Sound Vib. , vol.306 , pp. 818-834
    • Sapountzakis, E.J.1    Mokos, V.G.2
  • 3
    • 85143898404 scopus 로고
    • Coupled vibrations of thin-walled beams of open-cross section
    • Gere, J.M., Lin, Y.K.: Coupled vibrations of thin-walled beams of open-cross section. J. Appl. Mech. 373-378 (1958)
    • (1958) J. Appl. Mech. , pp. 373-378
    • Gere, J.M.1    Lin, Y.K.2
  • 4
    • 0003661511 scopus 로고
    • Israel program for scientific translations Jerusalem
    • Vlasov V.Z.: Thin-walled elastic beams. Israel program for scientific translations, Jerusalem (1961)
    • (1961) Thin-walled Elastic Beams
    • Vlasov, V.Z.1
  • 5
    • 0014854863 scopus 로고
    • Solution of the equations of motion of coupled-bending torsion vibrations of turbine blades by the method of Ritz-Galerkin
    • J.S. Rao W. Carnegie 1970 Solution of the equations of motion of coupled-bending torsion vibrations of turbine blades by the method of Ritz-Galerkin Int. J. Mech. Sci. 12 875 882
    • (1970) Int. J. Mech. Sci. , vol.12 , pp. 875-882
    • Rao, J.S.1    Carnegie, W.2
  • 6
    • 0039506671 scopus 로고
    • Coupled vibrations of thin-walled beams of open-section using the finite element method
    • C. Mei 1970 Coupled vibrations of thin-walled beams of open-section using the finite element method Int. J. Mech. Sci. 12 883 891
    • (1970) Int. J. Mech. Sci. , vol.12 , pp. 883-891
    • Mei, C.1
  • 7
    • 0017452554 scopus 로고
    • Coupled bending and twisting of a Timoshenko beam
    • R.E.D. Bishop W.G. Price 1977 Coupled bending and twisting of a Timoshenko beam J. Sound Vib. 50 469 477
    • (1977) J. Sound Vib. , vol.50 , pp. 469-477
    • Bishop, R.E.D.1    Price, W.G.2
  • 8
    • 0020477776 scopus 로고
    • Beam bending-torsion dynamic stiffness method for calculation of exact vibration modes
    • W.L. Hallauer R.Y.L. Liu 1982 Beam bending-torsion dynamic stiffness method for calculation of exact vibration modes J. Sound Vib. 85 105 113
    • (1982) J. Sound Vib. , vol.85 , pp. 105-113
    • Hallauer, W.L.1    Liu, R.Y.L.2
  • 9
    • 0020737329 scopus 로고
    • Coupled vibration of beams-an exact dynamic element stiffness matrix
    • P.O. Friberg 1983 coupled vibration of beams-an exact dynamic element stiffness matrix Int. J. Numer. Methods Eng. 19 479 493
    • (1983) Int. J. Numer. Methods Eng. , vol.19 , pp. 479-493
    • Friberg, P.O.1
  • 10
    • 0023536249 scopus 로고
    • An exact solution for coupled bending and torsion vibrations of uniform beams having single cross-sectional symmetry
    • E. Dokumaci 1987 An exact solution for coupled bending and torsion vibrations of uniform beams having single cross-sectional symmetry J. Sound Vib. 119 443 449
    • (1987) J. Sound Vib. , vol.119 , pp. 443-449
    • Dokumaci, E.1
  • 11
    • 0024681691 scopus 로고
    • On coupled bending and torsional vibration of uniform beams
    • R.E.D. Bishop S.M. Cannon S. Miao 1989 On coupled bending and torsional vibration of uniform beams J. Sound Vib. 131 457 464
    • (1989) J. Sound Vib. , vol.131 , pp. 457-464
    • Bishop, R.E.D.1    Cannon, S.M.2    Miao, S.3
  • 12
    • 0022093196 scopus 로고
    • Beam element matrices derived from Vlasov's theory of open thin-walled elastic beams
    • P.O. Friberg 1985 Beam element matrices derived from Vlasov's theory of open thin-walled elastic beams Int. J. Numer. Methods Eng. 21 1205 1228
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , pp. 1205-1228
    • Friberg, P.O.1
  • 13
    • 0025745813 scopus 로고
    • Natural shape functions of a compressed Vlasov element
    • A.Y.T. Leung 1991 Natural shape functions of a compressed Vlasov element Thin-walled Struct. 11 431 438
    • (1991) Thin-walled Struct. , vol.11 , pp. 431-438
    • Leung, A.Y.T.1
  • 14
    • 38249015998 scopus 로고
    • Dynamic stiffness analysis of twin-walled structures
    • A.Y.T. Leung 1992 Dynamic stiffness analysis of twin-walled structures Thin-walled Struct. 14 209 222
    • (1992) Thin-walled Struct. , vol.14 , pp. 209-222
    • Leung, A.Y.T.1
  • 16
    • 0027110269 scopus 로고
    • Coupled bending-torsional dynamic stiffness matrix for Timoshenko beam elements
    • J.R. Banerjee F.W. Williams 1992 Coupled bending-torsional dynamic stiffness matrix for Timoshenko beam elements Comput. Struct. 42 301 310
    • (1992) Comput. Struct. , vol.42 , pp. 301-310
    • Banerjee, J.R.1    Williams, F.W.2
  • 17
    • 0028392119 scopus 로고
    • Coupled bending-torsional stiffness matrix of an axially loaded Timoshenko beam element
    • J.R. Banerjee F.W. Williams 1994 Coupled bending-torsional stiffness matrix of an axially loaded Timoshenko beam element Int. J. Solids Struct. 31 743 762
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 743-762
    • Banerjee, J.R.1    Williams, F.W.2
  • 18
    • 0029326264 scopus 로고
    • Theoretical and experimental study of coupled vibrations of channel beams
    • M.J. Klausbruckner R.J. Pryputniewicz 1995 Theoretical and experimental study of coupled vibrations of channel beams J. Sound Vib. 183 239 252
    • (1995) J. Sound Vib. , vol.183 , pp. 239-252
    • Klausbruckner, M.J.1    Pryputniewicz, R.J.2
  • 19
    • 0030151724 scopus 로고    scopus 로고
    • Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping
    • J.R. Banerjee S. Guo W.P. Howson 1996 Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping Comput. Struct. 59 612 621
    • (1996) Comput. Struct. , vol.59 , pp. 612-621
    • Banerjee, J.R.1    Guo, S.2    Howson, W.P.3
  • 20
    • 0002367978 scopus 로고    scopus 로고
    • Coupled flexural-torsional vibrations of Timoshenko beams
    • A.N. Bercin M. Tanaka 1997 Coupled flexural-torsional vibrations of Timoshenko beams J. Sound Vib. 207 47 59
    • (1997) J. Sound Vib. , vol.207 , pp. 47-59
    • Bercin, A.N.1    Tanaka, M.2
  • 21
    • 0345580276 scopus 로고    scopus 로고
    • Free vibration solution for uniform beams of nonsymmetrical cross section using Mathematica
    • M. Tanaka A.N. Bercin 1999 Free vibration solution for uniform beams of nonsymmetrical cross section using Mathematica Comput. Struct. 71 1 8
    • (1999) Comput. Struct. , vol.71 , pp. 1-8
    • Tanaka, M.1    Bercin, A.N.2
  • 22
    • 0342954847 scopus 로고    scopus 로고
    • Free vibrational analysis of axially loaded bending-torsion coupled beams: A dynamic finite element
    • Hashemi, S.M., Richard, M.J.: Free vibrational analysis of axially loaded bending-torsion coupled beams: a dynamic finite element. Comput. Struct. 711-724 (2000)
    • (2000) Comput. Struct. , pp. 711-724
    • Hashemi, S.M.1    Richard, M.J.2
  • 23
    • 2942622404 scopus 로고    scopus 로고
    • Coupled bending and torsional vibration of axially loaded thin-walled Timoshenko beams
    • J. Li R. Shen H. Hua X. Jin 2004 Coupled bending and torsional vibration of axially loaded thin-walled Timoshenko beams Int. J. Mech. Sci. 46 299 320
    • (2004) Int. J. Mech. Sci. , vol.46 , pp. 299-320
    • Li, J.1    Shen, R.2    Hua, H.3    Jin, X.4
  • 24
    • 0242408267 scopus 로고    scopus 로고
    • Coupled bending and torsional vibration of axially loaded Bernoulli-Euler beams including warping effects
    • J. Li R. Shen H. Hua X. Jin 2004 Coupled bending and torsional vibration of axially loaded Bernoulli-Euler beams including warping effects Appl. Acoust. 65 153 170
    • (2004) Appl. Acoust. , vol.65 , pp. 153-170
    • Li, J.1    Shen, R.2    Hua, H.3    Jin, X.4
  • 25
    • 14944359697 scopus 로고    scopus 로고
    • Exact dynamic/static stiffness matrices of non-symmetric thin-walled beams considering coupled shear deformation effects
    • N.I. Kim M.Y. Kim 2005 Exact dynamic/static stiffness matrices of non-symmetric thin-walled beams considering coupled shear deformation effects Thin-walled Struct. 43 701 734
    • (2005) Thin-walled Struct. , vol.43 , pp. 701-734
    • Kim, N.I.1    Kim, M.Y.2
  • 26
    • 33846217821 scopus 로고    scopus 로고
    • Flexural-torsional vibrations of beams by BEM
    • E.J. Sapountzakis G.C. Tsiatas 2007 Flexural-torsional vibrations of beams by BEM Comput. Mech. 39 409 417
    • (2007) Comput. Mech. , vol.39 , pp. 409-417
    • Sapountzakis, E.J.1    Tsiatas, G.C.2
  • 27
    • 32844472948 scopus 로고    scopus 로고
    • The Analog Equation Method, a boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
    • J.T. Katsikadelis 2002 The Analog Equation Method, a boundary-only integral equation method for nonlinear static and dynamic problems in general bodies Theor. Appl. Mech. 27 13 38
    • (2002) Theor. Appl. Mech. , vol.27 , pp. 13-38
    • Katsikadelis, J.T.1
  • 29
    • 0007653595 scopus 로고
    • The shear coefficient in Timoshenko's beam theory
    • G.R. Cowper 1966 The shear coefficient in Timoshenko's beam theory ASME J. Appl. Mech. 33 335 340
    • (1966) ASME J. Appl. Mech. , vol.33 , pp. 335-340
    • Cowper, G.R.1
  • 32
    • 0018990354 scopus 로고
    • Timoshenko's shear coefficient from a beam subjected to gravity loading
    • N.G. Stephen 1980 Timoshenko's shear coefficient from a beam subjected to gravity loading ASME J. Appl. Mech. 47 121 127
    • (1980) ASME J. Appl. Mech. , vol.47 , pp. 121-127
    • Stephen, N.G.1
  • 33
    • 0000048562 scopus 로고    scopus 로고
    • Shear coefficients for Timoshenko beam theory
    • J.R. Hutchinson 2001 Shear coefficients for Timoshenko beam theory ASME J. Appl. Mech. 68 87 92
    • (2001) ASME J. Appl. Mech. , vol.68 , pp. 87-92
    • Hutchinson, J.R.1
  • 34
    • 0037221841 scopus 로고    scopus 로고
    • Warping shear stresses in nonuniform torsion by BEM
    • E.J. Sapountzakis V.G. Mokos 2003 Warping shear stresses in nonuniform torsion by BEM Comput. Mech. 30 131 142
    • (2003) Comput. Mech. , vol.30 , pp. 131-142
    • Sapountzakis, E.J.1    Mokos, V.G.2
  • 36
    • 24144484721 scopus 로고    scopus 로고
    • A BEM solution to transverse shear loading of beams
    • E.J. Sapountzakis V.G. Mokos 2005 A BEM solution to transverse shear loading of beams Comput. Mech. 36 384 397
    • (2005) Comput. Mech. , vol.36 , pp. 384-397
    • Sapountzakis, E.J.1    Mokos, V.G.2
  • 37
    • 14944379793 scopus 로고    scopus 로고
    • Torsional vibrations of composite bars of variable cross section by BEM
    • E.J. Sapountzakis 2005 Torsional vibrations of composite bars of variable cross section by BEM Comput. Methods Appl. Mech. Eng. 194 2127 2145
    • (2005) Comput. Methods Appl. Mech. Eng. , vol.194 , pp. 2127-2145
    • Sapountzakis, E.J.1
  • 39
    • 0343825915 scopus 로고    scopus 로고
    • Solution of nonuniform torsion of bars by an integral equation method
    • E.J. Sapountzakis 2000 Solution of nonuniform torsion of bars by an integral equation method Comput. Struct. 77 659 667
    • (2000) Comput. Struct. , vol.77 , pp. 659-667
    • Sapountzakis, E.J.1
  • 40
    • 60449119035 scopus 로고    scopus 로고
    • Finite element modeling and postprocessing system
    • MSC/NASTRAN for Windows USA
    • MSC/NASTRAN for Windows. Finite element modeling and postprocessing system. Help System Index,Version 4.0, USA (1999)
    • (1999) Help System Index,Version 4.0


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.