메뉴 건너뛰기




Volumn 3, Issue 3, 2011, Pages 407-434

Analysis of thin-walled beams via a one-dimensional unified formulation through a navier-type solution

Author keywords

bending torsion loading; closed form solution; hierarchical modelling; Thin walled beam structure

Indexed keywords

APPROXIMATION ORDERS; AXIOMATIC THEORY; BEAM CROSS-SECTION; BEAM STRUCTURES; CLASSICAL BEAM THEORY; CLOSED FORM; CLOSED FORM SOLUTIONS; DEEP BEAM; EULER-BERNOULLI; FREE PARAMETERS; GEOMETRICAL PARAMETERS; GOVERNING DIFFERENTIAL EQUATIONS; HIERARCHICAL MODELLING; LINEAR STATIC ANALYSIS; LOADING CONDITION; NAVIER-TYPE SOLUTIONS; NUMERICAL INVESTIGATIONS; SIMPLY SUPPORTED BEAMS; STRESS FIELD; THIN-WALLED BEAM; THREE DIMENSIONAL FINITE ELEMENTS; THREE-DIMENSIONAL DISPLACEMENTS; TORSIONAL LOADINGS;

EID: 80053523717     PISSN: 17588251     EISSN: 1758826X     Source Type: Journal    
DOI: 10.1142/S1758825111001056     Document Type: Article
Times cited : (38)

References (34)
  • 1
    • 0000202690 scopus 로고
    • Theory of anisotropic thin-walled closed-cross-section beams
    • Berdichevsky, E. A., Armanios, E. and Ashraf, B. [1992] "Theory of anisotropic thin-walled closed-cross-section beams," Composite Engineering 2(5-7), 411-432.
    • (1992) Composite Engineering , vol.2 , Issue.5-7 , pp. 411-432
    • Berdichevsky, E.A.1    Armanios, E.2    Ashraf, B.3
  • 2
    • 0142179994 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking
    • Carrera, E. [2003] "Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking," Archives of Computational Methods in Engineering 10(3), 215-296.
    • (2003) Archives of Computational Methods in Engineering , vol.10 , Issue.3 , pp. 215-296
    • Carrera, E.1
  • 3
    • 34547267975 scopus 로고    scopus 로고
    • Hierarchical closed form solutions for plates bent by localized transverse loadings
    • DOI 10.1631/jzus.2007.A1026
    • Carrera, E., Giunta, G. and Brischetto, S. [2007] "Hierarchical closed form solutions for plates bent by localized transverse loadings," Journal of Zhejiang University SCIENCE A 8(7), 1026-1037. (Pubitemid 47146115)
    • (2007) Journal of Zhejiang University: Science A , vol.8 , Issue.7 , pp. 1026-1037
    • Carrera, E.1    Giunta, G.2    Brischetto, S.3
  • 4
    • 35148871662 scopus 로고    scopus 로고
    • Analysis of thickness locking in classical, refined and mixed multilayered plate theories
    • DOI 10.1016/j.compstruct.2007.02.002, PII S0263822307000360
    • Carrera, E. and Brischetto, S. [2008a] "Analysis of thickness locking in classical, refined and mixed multilayered plate theories," Composite Structures 82(4), 549-562. (Pubitemid 47543566)
    • (2008) Composite Structures , vol.82 , Issue.4 , pp. 549-562
    • Carrera, E.1    Brischetto, S.2
  • 5
    • 42649085380 scopus 로고    scopus 로고
    • Analysis of thickness locking in classical, refined and mixed theories for layered shells
    • DOI 10.1016/j.compstruct.2007.10.009, PII S0263822307002437
    • Carrera, E. and Brischetto, S. [2008b] "Analysis of thickness locking in classical, refined and mixed theories for layered shells," Composite Structures 85(1), 83-90. (Pubitemid 351598109)
    • (2008) Composite Structures , vol.85 , Issue.1 , pp. 83-90
    • Carrera, E.1    Brischetto, S.2
  • 6
    • 44449168448 scopus 로고    scopus 로고
    • Hierarchical models for failure analysis of plates bent by distributed and localized transverse loadings
    • Carrera, E. and Giunta, G. [2008] "Hierarchical models for failure analysis of plates bent by distributed and localized transverse loadings," Journal ofZhejiang University SCIENCE A 9(5), 600-613.
    • (2008) Journal OfZhejiang University SCIENCE A , vol.9 , Issue.5 , pp. 600-613
    • Carrera, E.1    Giunta, G.2
  • 7
    • 62149088530 scopus 로고    scopus 로고
    • Hierarchical evaluation of failure parameters in composite plates
    • Carrera, E. and Giunta, G. [2009a] "Hierarchical evaluation of failure parameters in composite plates," AIAA Journal 47(3), 692-702.
    • (2009) AIAA Journal , vol.47 , Issue.3 , pp. 692-702
    • Carrera, E.1    Giunta, G.2
  • 8
    • 77955249736 scopus 로고    scopus 로고
    • Exact, hierarchical solutions for localised loadings in isotropic, laminated and sandwich shells
    • Carrera, E. and Giunta, G. [2009b] "Exact, hierarchical solutions for localised loadings in isotropic, laminated and sandwich shells," Journal of Pressure Vessel Technology 131(4), 041202.
    • (2009) Journal of Pressure Vessel Technology , vol.131 , Issue.4 , pp. 041202
    • Carrera, E.1    Giunta, G.2
  • 10
    • 75749126864 scopus 로고    scopus 로고
    • Refined beam elements with arbitrary cross-section geometries
    • Carrera, E., Giunta, G., Nali, P. and Petrolo, M. [2010] "Refined beam elements with arbitrary cross-section geometries," Computers and Structures 88(5-6), 283-293.
    • (2010) Computers and Structures , vol.88 , Issue.5-6 , pp. 283-293
    • Carrera, E.1    Giunta, G.2    Nali, P.3    Petrolo, M.4
  • 11
    • 0007653595 scopus 로고
    • The shear co-efficient in Timoshenko beam theory
    • Cowper, G. R. [1966] "The shear co-efficient in Timoshenko beam theory," Journal of Applied Mechanics 33(10), 335-340.
    • (1966) Journal of Applied Mechanics , vol.33 , Issue.10 , pp. 335-340
    • Cowper, G.R.1
  • 12
    • 0031628253 scopus 로고    scopus 로고
    • Analytical theory for an approach calculation of composite box beams subjected to tension and bending
    • PII S1359836897000425
    • Estivalezes, E. and Barrau, J. J. [1998] "Analytical theory for an approach calculation of composite box beams subjected to tension and bending," Composites Part B 29(4), 371-376. (Pubitemid 128393167)
    • (1998) Composites Part B: Engineering , vol.29 , Issue.4 , pp. 371-376
    • Estivalezes, E.1    Barrau, J.-J.2
  • 13
    • 0035479134 scopus 로고    scopus 로고
    • Torsion of thin-walled composite beams with midplane symmetry
    • DOI 10.1016/S0263-8223(01)00075-7, PII S0263822301000757
    • Ferrero, J. F., Barrau, J. J., Segura, J. M., Castanie, B. and Sudre, M. [2001a] "Torsion of thin-walled composite beams with midplane symmetry," Composite Structures 54(1), 111-120. (Pubitemid 32832458)
    • (2001) Composite Structures , vol.54 , Issue.1 , pp. 111-120
    • Ferrero, J.F.1    Barrau, J.J.2    Segura, J.M.3    Castanie, B.4    Sudre, M.5
  • 14
    • 0035425727 scopus 로고    scopus 로고
    • Analytical theory for an approach calculation of non-balanced composite box beams
    • DOI 10.1016/S0263-8231(01)00018-0, PII S0263823101000180
    • Ferrero, J. F., Barrau, J. J., Segura, J. M., Sudre, M. and Castanie, B. [2001b] "Analytical theory for an approach calculation of non-balanced composite box beams," Thin-Walled Structures 39(8), 709-729. (Pubitemid 32698539)
    • (2001) Thin-Walled Structures , vol.39 , Issue.8 , pp. 709-729
    • Ferrero, J.F.1    Barrau, J.J.2    Segura, J.M.3    Sudre, M.4    Castanie, B.5
  • 16
    • 0025398910 scopus 로고
    • A review of composite rotor blade modeling
    • Hodges, D. H. [1990] "A review of composite rotor blade modeling," AIAA Journal 28(3), 561-565.
    • (1990) AIAA Journal , vol.28 , Issue.3 , pp. 561-565
    • Hodges, D.H.1
  • 18
    • 0024703597 scopus 로고
    • Recent advances in analysis of laminated beams and plates. Part I. Shear effects and buckling
    • Kapania, R. K. and Raciti, S. [1989a] "Recent advances in analysis of laminated beams and plates, Part I: Shear effects and buckling," AIAA Journal 27(7), 923-934. (Pubitemid 20683722)
    • (1989) AIAA journal , vol.27 , Issue.7 , pp. 923-934
    • Kapania Rakesh, K.1    Raciti Stefano2
  • 19
    • 0024703317 scopus 로고
    • Recent advances in analysis of laminated beams and plates. Part II. Vibrations and wave propagation
    • Kapania, R. K. and Raciti, S. [1989b] "Recent advances in analysis of laminated beams and plates, Part II: Vibrations and wave propagation," AIAA Journal 27(7), 935-946. (Pubitemid 20683723)
    • (1989) AIAA journal , vol.27 , Issue.7 , pp. 935-946
    • Kapania Rakesh, K.1    Raciti Stefano2
  • 20
    • 3042791882 scopus 로고    scopus 로고
    • Flexural-torsional behavior of thin-walled composite beams
    • Lee, J. and Lee, S. [2004] "Flexural-torsional behavior of thin-walled composite beams," Thin-Walled Structures 42(9), 1293-1305.
    • (2004) Thin-Walled Structures , vol.42 , Issue.9 , pp. 1293-1305
    • Lee, J.1    Lee, S.2
  • 21
    • 20444491959 scopus 로고    scopus 로고
    • Flexural analysis of thin-walled composite beams using shear-deformable beam theory
    • DOI 10.1016/j.compstruct.2004.08.023, PII S0263822304002922
    • Lee, J. [2005] "Flexural analysis of thin-walled composite beams using shear-deformable beam theory," Composite Structures 70(2), 212-222. (Pubitemid 40829811)
    • (2005) Composite Structures , vol.70 , Issue.2 , pp. 212-222
    • Lee, J.1
  • 22
    • 0014869499 scopus 로고
    • Analysis of short beams
    • Murty, A. V. K. [1970] "Analysis of short beams," AIAA Journal 8 2098-2100.
    • (1970) AIAA Journal , vol.8 , pp. 2098-2100
    • Murty, A.V.K.1
  • 23
    • 0042637364 scopus 로고
    • "Zur torsion von prismatischen staben
    • Prandtl, L. [1903] "Zur torsion von prismatischen staben," Zeitschrift fur Physik 4 758770.
    • (1903) Zeitschrift fur Physik , vol.4 , pp. 758770
    • Prandtl, L.1
  • 24
    • 0036624127 scopus 로고    scopus 로고
    • On a shear-deformable theory of anisotropic thin-walled beams: Further contribution and validations
    • DOI 10.1016/S0263-8223(02)00019-3, PII S0263822302000193
    • Qin, Z. and Librescu, L. [2002] "On a shear-deformable theory of anisotropic thin-walled beams: Further contribution and validations," Composite Structures 56(4), 345-358. (Pubitemid 35288923)
    • (2002) Composite Structures , vol.56 , Issue.4 , pp. 345-358
    • Qin, Z.1    Librescu, L.2
  • 25
    • 0032108530 scopus 로고    scopus 로고
    • Fundamental closed-form solutions for solid and thin-walled composite beams including a complete out-of-plane warping model
    • PII S0020768397001959
    • Rand, O. [1998] "Fundamental closed-form solutions for solid and thin-walled composite beams including a complete out-of-plane warping model," International Journal of Solids and Structures 35(21), 2775-2793. (Pubitemid 128368522)
    • (1998) International Journal of Solids and Structures , vol.35 , Issue.21 , pp. 2775-2793
    • Rand, O.1
  • 27
    • 4644327397 scopus 로고    scopus 로고
    • Static response of thin-walled composite i-beams loaded at their free-end cross-section: Analytical solution
    • Song, O., Librescu, L. and Jeong, N. H. [2001] "Static response of thin-walled composite i-beams loaded at their free-end cross-section: Analytical solution," Composite Structures 52(1), 55-65.
    • (2001) Composite Structures , vol.52 , Issue.1 , pp. 55-65
    • Song, O.1    Librescu, L.2    Jeong, N.H.3
  • 28
    • 0000849966 scopus 로고
    • On the corrections for shear of the differential equation for transverse vibrations of prismatic bars
    • Timoshenko, S. P. [1921] "On the corrections for shear of the differential equation for transverse vibrations of prismatic bars," Philosophical Magazine 41 744-746.
    • (1921) Philosophical Magazine , vol.41 , pp. 744-746
    • Timoshenko, S.P.1
  • 29
    • 0000868615 scopus 로고
    • On the transverse vibrations of bars of uniform cross-section
    • Timoshenko, S. P. [1922] "On the transverse vibrations of bars of uniform cross-section," Philosophical Magazine 43 125-131.
    • (1922) Philosophical Magazine , vol.43 , pp. 125-131
    • Timoshenko, S.P.1
  • 32
    • 34447279911 scopus 로고    scopus 로고
    • Flexural-torsional behavior of thin-walled closed-section composite box beams
    • DOI 10.1016/j.engstruct.2006.10.002, PII S0141029606004172
    • Vo, T. P. and Lee, J. [2007] "Flexural-torsional behavior of thin-walled closed-section composite box beams," Engineering Structures 29(8), 1774-1782. (Pubitemid 47039030)
    • (2007) Engineering Structures , vol.29 , Issue.8 , pp. 1774-1782
    • Vo, T.P.1    Lee, J.2
  • 33
    • 44149096502 scopus 로고    scopus 로고
    • Flexural-torsional behavior of thin-walled composite box beams using shear-deformable beam theory
    • Vo, T. P. and Lee, J. [2008] "Flexural-torsional behavior of thin-walled composite box beams using shear-deformable beam theory," Engineering Structures 30(7), 1958-1968.
    • (2008) Engineering Structures , vol.30 , Issue.7 , pp. 1958-1968
    • Vo, T.P.1    Lee, J.2
  • 34
    • 0036743022 scopus 로고    scopus 로고
    • A displacement method for the analysis of flexural shear stresses in thin-walled isotropic composite beams
    • Wagner, W. and Gruttmann, F. [2002] "A displacement method for the analysis of flexural shear stresses in thin-walled isotropic composite beams," Computers and Structures 80(24), 1843-1851.
    • (2002) Computers and Structures , vol.80 , Issue.24 , pp. 1843-1851
    • Wagner, W.1    Gruttmann, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.