메뉴 건너뛰기




Volumn 40, Issue 1, 1997, Pages 1-9

Analytical solution to the dynamic analysis of laminated beams using higher order refined theory

Author keywords

[No Author keywords available]

Indexed keywords

LAMINATES; MATHEMATICAL MODELS; NATURAL FREQUENCIES; SHEAR STRESS; STRAIN; STRESSES;

EID: 0031369850     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(97)00133-5     Document Type: Article
Times cited : (84)

References (44)
  • 3
    • 0000849966 scopus 로고
    • On the correction for shear of differential equation for transverse vibrations of prismatic bars
    • Timoshenko, S. P., On the correction for shear of differential equation for transverse vibrations of prismatic bars. Philos. Mag. Series 1921, 41, 744-746.
    • (1921) Philos. Mag. Series , vol.41 , pp. 744-746
    • Timoshenko, S.P.1
  • 4
    • 0000868615 scopus 로고
    • On the transverse vibration of bars of uniform cross-section
    • Timoshenko, S. P., On the transverse vibration of bars of uniform cross-section. Philos. Mag. Series 1922, 43, 125-131.
    • (1922) Philos. Mag. Series , vol.43 , pp. 125-131
    • Timoshenko, S.P.1
  • 5
    • 0007653595 scopus 로고
    • The shear coefficient in Timoshenko beam theory
    • Cowper, G. R., The shear coefficient in Timoshenko beam theory. ASME J. Appl. Mech. 1966, 33, 335-340.
    • (1966) ASME J. Appl. Mech. , vol.33 , pp. 335-340
    • Cowper, G.R.1
  • 6
    • 33750515173 scopus 로고
    • Vibration of short beams
    • Murthy, A. V. K., Vibration of short beams. AIAA J. 1970, 8, 34-38.
    • (1970) AIAA J. , vol.8 , pp. 34-38
    • Murthy, A.V.K.1
  • 7
    • 0014869499 scopus 로고
    • Analysis of short beams
    • Murthy, A. V. K., Analysis of short beams. AIAA J. 1970, 8, 2098-2100.
    • (1970) AIAA J. , vol.8 , pp. 2098-2100
    • Murthy, A.V.K.1
  • 8
    • 0000495431 scopus 로고
    • Beam vibrations with time-dependent boundary conditions
    • Mindlin, R. D. and Goodman, L. E., Beam vibrations with time-dependent boundary conditions. Trans. ASME J. Appl. Mech. 1950, 72, 376-379.
    • (1950) Trans. ASME J. Appl. Mech. , vol.72 , pp. 376-379
    • Mindlin, R.D.1    Goodman, L.E.2
  • 9
    • 85143504878 scopus 로고
    • Forced motions of Timoshenko beams
    • Herrmann, G., Forced motions of Timoshenko beams. Trans. ASME J. Appl. Mech. 1955, 77, 53-56.
    • (1955) Trans. ASME J. Appl. Mech. , vol.77 , pp. 53-56
    • Herrmann, G.1
  • 11
    • 0000917456 scopus 로고
    • On the accuracy of Timoshenko's beam theory
    • Cowper, G. R., On the accuracy of Timoshenko's beam theory. ASCE J. Eng. Mech. Div. 1968, 94, 1447-1453.
    • (1968) ASCE J. Eng. Mech. Div. , vol.94 , pp. 1447-1453
    • Cowper, G.R.1
  • 12
    • 0017477049 scopus 로고
    • The vibration of beams of fibre reinforced material
    • Teoh, L. S. and Huang, C. C., The vibration of beams of fibre reinforced material. J. Sound Vib. 1977, 51, 467-473.
    • (1977) J. Sound Vib. , vol.51 , pp. 467-473
    • Teoh, L.S.1    Huang, C.C.2
  • 13
    • 0015416208 scopus 로고
    • The vibration of cantilever beams of fibre reinforced material
    • Abarcar, R. B. and Cunniff, P. F., The vibration of cantilever beams of fibre reinforced material. J. Composite Materials 1972, 6, 504-517.
    • (1972) J. Composite Materials , vol.6 , pp. 504-517
    • Abarcar, R.B.1    Cunniff, P.F.2
  • 14
    • 0027911616 scopus 로고
    • Vibration of symmetrically laminated clamped-free beam with a mass at the free end
    • Chandrashekhara, K. and Bangera, K. M., Vibration of symmetrically laminated clamped-free beam with a mass at the free end. J. Sound Vib. 1993, 160, 93-101.
    • (1993) J. Sound Vib. , vol.160 , pp. 93-101
    • Chandrashekhara, K.1    Bangera, K.M.2
  • 15
    • 85007658893 scopus 로고
    • Consistent matrix formulations for structural analysis using finite element techniques
    • Archer, J., Consistent matrix formulations for structural analysis using finite element techniques. AIAA J. 1965, 3, 1910-1928.
    • (1965) AIAA J. , vol.3 , pp. 1910-1928
    • Archer, J.1
  • 17
    • 0015436054 scopus 로고
    • Convergence of consistently derived Timoshenko beam finite elements
    • Nickel, R. and Secor, G., Convergence of consistently derived Timoshenko beam finite elements. Int. J. Numer. Meth. Eng. 1972, 5, 243-253.
    • (1972) Int. J. Numer. Meth. Eng. , vol.5 , pp. 243-253
    • Nickel, R.1    Secor, G.2
  • 19
    • 0016846233 scopus 로고
    • Finite element model for dynamic analysis of Timoshenko beams
    • Thomas, J. and Abbas, B. A. H., Finite element model for dynamic analysis of Timoshenko beams. J. Sound Vib. 1975, 41, 291-299.
    • (1975) J. Sound Vib. , vol.41 , pp. 291-299
    • Thomas, J.1    Abbas, B.A.H.2
  • 21
    • 0018785322 scopus 로고
    • A second order beam theory
    • Stephen, N. G. and Levinson, M., A second order beam theory. J. Sound Vib. 1979, 67, 293-305.
    • (1979) J. Sound Vib. , vol.67 , pp. 293-305
    • Stephen, N.G.1    Levinson, M.2
  • 22
    • 0022413465 scopus 로고
    • Analysis of laminated composite plates using a higher-order shear deformation theory
    • Phan, N. D. and Reddy, J. N., Analysis of laminated composite plates using a higher-order shear deformation theory. Int. J. Numer. Meth. Eng. 1985, 21, 2201-2219.
    • (1985) Int. J. Numer. Meth. Eng. , vol.21 , pp. 2201-2219
    • Phan, N.D.1    Reddy, J.N.2
  • 23
    • 0024088616 scopus 로고
    • A higher order beam finite element for bending and vibration problems
    • Heyliger, P. R. and Reddy, J. N., A higher order beam finite element for bending and vibration problems. J. Sound Vib. 1988, 126, 309-326.
    • (1988) J. Sound Vib. , vol.126 , pp. 309-326
    • Heyliger, P.R.1    Reddy, J.N.2
  • 24
    • 0026871387 scopus 로고
    • A transverse shear and normal deformable orthotropic beam theory
    • Soldatos, K. P. and Elishakoff, I., A transverse shear and normal deformable orthotropic beam theory. J. Sound Vib. 1992, 154, 528-533.
    • (1992) J. Sound Vib. , vol.154 , pp. 528-533
    • Soldatos, K.P.1    Elishakoff, I.2
  • 25
    • 0019875065 scopus 로고
    • A new rectangular beam theory
    • Levinson, M., A new rectangular beam theory. J. Sound Vib. 1981, 74, 81-87.
    • (1981) J. Sound Vib. , vol.74 , pp. 81-87
    • Levinson, M.1
  • 26
    • 38249033182 scopus 로고
    • On the accuracy of a beam theory
    • Rychter, Z., On the accuracy of a beam theory. Mech. Res. Commn. 1987, 14, 99-105.
    • (1987) Mech. Res. Commn. , vol.14 , pp. 99-105
    • Rychter, Z.1
  • 27
    • 0020305360 scopus 로고
    • A consistent higher order beam theory
    • Bickford, W. B., A consistent higher order beam theory. Develop. Theor. Appl. Mech. 1982, 11, 137-142.
    • (1982) Develop. Theor. Appl. Mech. , vol.11 , pp. 137-142
    • Bickford, W.B.1
  • 29
    • 84964144652 scopus 로고
    • Exact solutions for composite laminates in cylindrical bending
    • Pagano, N. J., Exact solutions for composite laminates in cylindrical bending. J. Composite Materials 1969, 3, 398-410.
    • (1969) J. Composite Materials , vol.3 , pp. 398-410
    • Pagano, N.J.1
  • 30
    • 0014728757 scopus 로고
    • Exact solutions for rectangular bidirectional composites and sandwich plates
    • Pagano, N. J., Exact solutions for rectangular bidirectional composites and sandwich plates. J. Composite Materials 1970, 4, 20-34.
    • (1970) J. Composite Materials , vol.4 , pp. 20-34
    • Pagano, N.J.1
  • 31
    • 34247581039 scopus 로고
    • Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
    • Srinivas, S. and Rao, A. K., Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int. J. Solids Struct. 1970, 6, 1463-1481.
    • (1970) Int. J. Solids Struct. , vol.6 , pp. 1463-1481
    • Srinivas, S.1    Rao, A.K.2
  • 32
    • 0025398850 scopus 로고
    • Three-dimensional solutions for antisymmetrically laminated anisotropic plates
    • Noor, A. K. and Burton, W. S., Three-dimensional solutions for antisymmetrically laminated anisotropic plates. Trans. ASME J. Appl. Mech. 1990, 57, 182-188.
    • (1990) Trans. ASME J. Appl. Mech. , vol.57 , pp. 182-188
    • Noor, A.K.1    Burton, W.S.2
  • 33
    • 38249029189 scopus 로고
    • A finite element model for a higher-order shear-deformable beam theory
    • Kant, T. and Gupta, A., A finite element model for a higher-order shear-deformable beam theory. J. Sound Vib. 1988, 125, 193-202.
    • (1988) J. Sound Vib. , vol.125 , pp. 193-202
    • Kant, T.1    Gupta, A.2
  • 34
    • 0000674330 scopus 로고
    • Higher-order shear deformable theories for flexure of sandwich plates -Finite element evaluations
    • Pandya, B. N. and Kant, T., Higher-order shear deformable theories for flexure of sandwich plates -Finite element evaluations. Int. J. Solids Struct. 1988, 24, 1267-1286.
    • (1988) Int. J. Solids Struct. , vol.24 , pp. 1267-1286
    • Pandya, B.N.1    Kant, T.2
  • 35
    • 0030190448 scopus 로고    scopus 로고
    • Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling
    • Marur, S. R. and Kant, T., Free vibration analysis of fiber reinforced composite beams using higher order theories and finite element modelling. J. Sound Vib. 1996, 194, 337-351.
    • (1996) J. Sound Vib. , vol.194 , pp. 337-351
    • Marur, S.R.1    Kant, T.2
  • 37
    • 0031341322 scopus 로고    scopus 로고
    • On the performance of higher order theories for transient dynamic analysis of sandwich and composite beams
    • Marur, S. R. and Kant, T., On the performance of higher order theories for transient dynamic analysis of sandwich and composite beams. Comput. Struct. 1997, 65, 741-759.
    • (1997) Comput. Struct. , vol.65 , pp. 741-759
    • Marur, S.R.1    Kant, T.2
  • 38
    • 84986998948 scopus 로고
    • A higher order theory of plate deformation - Part 1: Homogeneous plates
    • Lo, K. H., Christensen, R. M. and Wu, E. M., A higher order theory of plate deformation - Part 1: Homogeneous plates. ASME J. Appl. Mech. 1977, 44, 663-668.
    • (1977) ASME J. Appl. Mech. , vol.44 , pp. 663-668
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 40
    • 0000193416 scopus 로고
    • Dynamic analysis of sandwich beams
    • Ahmed, K. M., Dynamic analysis of sandwich beams. J. Sound Vib. 1972, 21, 263-276.
    • (1972) J. Sound Vib. , vol.21 , pp. 263-276
    • Ahmed, K.M.1
  • 41
    • 0015572589 scopus 로고
    • Bending and vibration of multilayer sandwich beams and plates
    • Khatua, T. P. and Cheung, Y. K., Bending and vibration of multilayer sandwich beams and plates. Int. J. Numer. Meth. Eng. 1973, 6, 11-24.
    • (1973) Int. J. Numer. Meth. Eng. , vol.6 , pp. 11-24
    • Khatua, T.P.1    Cheung, Y.K.2
  • 42
    • 0020140918 scopus 로고
    • On the solutions to forced motions of rectangular composite plates
    • Reddy, J. N., On the solutions to forced motions of rectangular composite plates. ASME J. Appl. Mech. 1982, 49, 403-408.
    • (1982) ASME J. Appl. Mech. , vol.49 , pp. 403-408
    • Reddy, J.N.1
  • 43
    • 0021862928 scopus 로고
    • Nonlinear transient responses of initially stressed composite plates
    • Chen, J. K. and Sun, C. T., Nonlinear transient responses of initially stressed composite plates. Corn-put. Struct. 1985, 21, 513-520.
    • (1985) Corn-put. Struct. , vol.21 , pp. 513-520
    • Chen, J.K.1    Sun, C.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.