메뉴 건너뛰기




Volumn 19, Issue 3, 2000, Pages 469-485

Natural vibration analysis of symmetrical cross-ply laminated plates using a mixed variational formulation

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL TRANSFORMATIONS; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); SHEAR STRESS; STRESS ANALYSIS; STRUCTURAL ANALYSIS; VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL);

EID: 0034188183     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(00)00169-8     Document Type: Article
Times cited : (15)

References (46)
  • 1
    • 0000483402 scopus 로고    scopus 로고
    • Evaluation of layer-wise mixed theories for laminated plates analysis
    • Carerra E., Evaluation of layer-wise mixed theories for laminated plates analysis, AIAA J. 36 (1998) 830-839.
    • (1998) AIAA J. , vol.36 , pp. 830-839
    • Carerra, E.1
  • 2
    • 0001302897 scopus 로고    scopus 로고
    • Layer-wise mixed models for accurate vibration analysis of multilayered plates
    • Carerra E., Layer-wise mixed models for accurate vibration analysis of multilayered plates, J. Appl. Mech. 65 (1998) 820-828.
    • (1998) J. Appl. Mech. , vol.65 , pp. 820-828
    • Carerra, E.1
  • 3
    • 0024914977 scopus 로고
    • Hamilton's mixed variational formula for dynamical problems of anisotropic elastic bodies
    • Fares M.E., Allam M.N.M., Zenkour A.M., Hamilton's mixed variational formula for dynamical problems of anisotropic elastic bodies, Solid Mech. Arch. 14 (1989) 103-114.
    • (1989) Solid Mech. Arch. , vol.14 , pp. 103-114
    • Fares, M.E.1    Allam, M.N.M.2    Zenkour, A.M.3
  • 4
    • 0032634030 scopus 로고    scopus 로고
    • Mixed variational formula for the thermal bending of laminated plates
    • Fares M.E., Zenkour A.M., Mixed variational formula for the thermal bending of laminated plates, J. Therm. Stress. 22 (1999a) 347-365.
    • (1999) J. Therm. Stress. , vol.22 , pp. 347-365
    • Fares, M.E.1    Zenkour, A.M.2
  • 5
    • 0033038510 scopus 로고    scopus 로고
    • Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories
    • Fares M.E., Zenkour A.M., Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories, Compos. Struct. 44 (1999b) 279-287.
    • (1999) Compos. Struct. , vol.44 , pp. 279-287
    • Fares, M.E.1    Zenkour, A.M.2
  • 7
    • 0023834793 scopus 로고
    • Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part II: Buckling and free vibration
    • Khdeir A.A., Librescu L., Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part II: Buckling and free vibration, Compos. Struct. 9 (1988) 259-277.
    • (1988) Compos. Struct. , vol.9 , pp. 259-277
    • Khdeir, A.A.1    Librescu, L.2
  • 9
    • 0000215285 scopus 로고
    • An accurate, simple theory of the statics and dynamics of elastic plates
    • Levinson M., An accurate, simple theory of the statics and dynamics of elastic plates, Mech. Res. Comm. 7 (1980) 343-350.
    • (1980) Mech. Res. Comm. , vol.7 , pp. 343-350
    • Levinson, M.1
  • 10
    • 0023843803 scopus 로고
    • Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part I: Stress and displacement
    • Librescu L., Khdeir A.A., Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part I: Stress and displacement, Compos. Struct. 9 (1988) 189-213.
    • (1988) Compos. Struct. , vol.9 , pp. 189-213
    • Librescu, L.1    Khdeir, A.A.2
  • 11
    • 84986998948 scopus 로고
    • A high-order theory of plate deformation: Part 1, homogeneous plates; part 2, laminated plates
    • Lo K.H., Christensen R.M., Wu E.M., A high-order theory of plate deformation: Part 1, homogeneous plates; part 2, laminated plates, J. Appl. Mech. 44 (1977) 663-676.
    • (1977) J. Appl. Mech. , vol.44 , pp. 663-676
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 12
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates
    • Mindlin R.D., Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, J. Appl. Mech. 18 (1951) 31-38.
    • (1951) J. Appl. Mech. , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 14
    • 0022785323 scopus 로고
    • Laminated composite plate theory with improved in-plane response
    • Murakami H., Laminated composite plate theory with improved in-plane response, J. Appl. Mech. 53 (1986) 661-666.
    • (1986) J. Appl. Mech. , vol.53 , pp. 661-666
    • Murakami, H.1
  • 15
    • 0015650413 scopus 로고
    • Free vibration of multylayered composite plates
    • Noor A.K., Free vibration of multylayered composite plates, AIAA J. 11 (1973) 1038-1039.
    • (1973) AIAA J. , vol.11 , pp. 1038-1039
    • Noor, A.K.1
  • 16
    • 0026473551 scopus 로고
    • On vibration and buckling of symmetric laminated plates according to shear deformation theories
    • Nosier A., Reddy J.N., On vibration and buckling of symmetric laminated plates according to shear deformation theories, Acta Mech. 94 (1992) 123-144.
    • (1992) Acta Mech. , vol.94 , pp. 123-144
    • Nosier, A.1    Reddy, J.N.2
  • 17
    • 0027796911 scopus 로고
    • Free vibration analysis of laminated plates using a layerwise theory
    • Nosier A., Kapania R.K., Reddy J.N., Free vibration analysis of laminated plates using a layerwise theory, AIAA J. 31 (1993) 2335-2346.
    • (1993) AIAA J. , vol.31 , pp. 2335-2346
    • Nosier, A.1    Kapania, R.K.2    Reddy, J.N.3
  • 19
    • 85003310295 scopus 로고
    • Elastic behavior of multilayered bidirectional composites
    • Pagano N.J., Hatfield S.J., Elastic behavior of multilayered bidirectional composites, AIAA J. 10 (1972) 931-933.
    • (1972) AIAA J. , vol.10 , pp. 931-933
    • Pagano, N.J.1    Hatfield, S.J.2
  • 20
    • 0022506469 scopus 로고
    • Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory
    • Putcha N.S., Reddy J.N., Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory, J. Sound Vib. 104 (1986) 285-300.
    • (1986) J. Sound Vib. , vol.104 , pp. 285-300
    • Putcha, N.S.1    Reddy, J.N.2
  • 21
    • 0021580001 scopus 로고
    • A refined nonlinear theory of plates with transverse shear deformation
    • Reddy J.N., A refined nonlinear theory of plates with transverse shear deformation, Int. J. Solids Struct. 20 (1984a) 881-896.
    • (1984) Int. J. Solids Struct. , vol.20 , pp. 881-896
    • Reddy, J.N.1
  • 22
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • Reddy J.N., A simple higher-order theory for laminated composite plates, J. Appl. Mech. 51 (1984b) 745-752.
    • (1984) J. Appl. Mech. , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 23
    • 0023347585 scopus 로고
    • A generalization of two-dimensional theories of laminated composite plates
    • Reddy J.N., A generalization of two-dimensional theories of laminated composite plates, Comm. Appl. Num. Meth. 3 (1987) 173-180.
    • (1987) Comm. Appl. Num. Meth. , vol.3 , pp. 173-180
    • Reddy, J.N.1
  • 24
    • 0025564020 scopus 로고
    • A general nonlinear third-order theory of plates with moderate thickness
    • Reddy J.N., A general nonlinear third-order theory of plates with moderate thickness, Int. J. Non-linear Mech. 25 (1990) 677-686.
    • (1990) Int. J. Non-linear Mech. , vol.25 , pp. 677-686
    • Reddy, J.N.1
  • 25
    • 85162732170 scopus 로고
    • On the theory of bending of elastic plates
    • Reissner E., On the theory of bending of elastic plates, J. Math. Physics 23 (1944) 184-191.
    • (1944) J. Math. Physics , vol.23 , pp. 184-191
    • Reissner, E.1
  • 26
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • Reissner E., The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech. 12 (1945) 69-77.
    • (1945) J. Appl. Mech. , vol.12 , pp. 69-77
    • Reissner, E.1
  • 27
    • 85162639866 scopus 로고
    • On the theory of bending of elastic plates
    • Reissner E., On the theory of bending of elastic plates, J. Math. Physics 32 (1953) 129-135.
    • (1953) J. Math. Physics , vol.32 , pp. 129-135
    • Reissner, E.1
  • 28
    • 0021461290 scopus 로고
    • On a certain mixed variational theorem and a proposed application
    • Reissner E., On a certain mixed variational theorem and a proposed application, Int. J. Num. Meth. Eng. 20 (1984) 1366-1368.
    • (1984) Int. J. Num. Meth. Eng. , vol.20 , pp. 1366-1368
    • Reissner, E.1
  • 29
    • 0022128804 scopus 로고
    • On mixed variational formulations in finite elasticity
    • Reissner E., On mixed variational formulations in finite elasticity, Acta Mechanica 56 (1985) 117-125.
    • (1985) Acta Mechanica , vol.56 , pp. 117-125
    • Reissner, E.1
  • 30
    • 0022661210 scopus 로고
    • On a mixed variational theorem and on shear deformable plate theory
    • Reissner E., On a mixed variational theorem and on shear deformable plate theory, Int. J. Num. Meth. Eng. 23 (1986) 193-198.
    • (1986) Int. J. Num. Meth. Eng. , vol.23 , pp. 193-198
    • Reissner, E.1
  • 31
    • 85024507520 scopus 로고
    • Bending and stretching of certain types of heterogeneous aelotropic elastic plates
    • Reissner E., Stavsky Y., Bending and stretching of certain types of heterogeneous aelotropic elastic plates, J. Appl. Mech. 28 (1961) 402-408.
    • (1961) J. Appl. Mech. , vol.28 , pp. 402-408
    • Reissner, E.1    Stavsky, Y.2
  • 32
    • 0027539452 scopus 로고
    • Modeling of thick composites using a layer-wise laminate theory
    • Robbins D.H., Reddy J.N., Modeling of thick composites using a layer-wise laminate theory, Int. J. Num. Meth. Eng. 36 (1993) 655-677.
    • (1993) Int. J. Num. Meth. Eng. , vol.36 , pp. 655-677
    • Robbins, D.H.1    Reddy, J.N.2
  • 33
    • 0017427698 scopus 로고
    • A refined nonlinear theory of plates with transverse shear deformation
    • Schmidt R., A refined nonlinear theory of plates with transverse shear deformation, J. Ind. Math. Soc. 27 (1977) 23-38.
    • (1977) J. Ind. Math. Soc. , vol.27 , pp. 23-38
    • Schmidt, R.1
  • 34
    • 0000965178 scopus 로고
    • An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates
    • Srinivas S., Joga Rao C.V., Rao A.K., An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates, J. Sound Vib. 12 (1970) 187-199.
    • (1970) J. Sound Vib. , vol.12 , pp. 187-199
    • Srinivas, S.1    Joga Rao, C.V.2    Rao, A.K.3
  • 35
    • 0015585606 scopus 로고
    • Theories for the dynamic response of laminated plates
    • Sun C.T., Whitney J.M., Theories for the dynamic response of laminated plates, AIAA J. 11 (1973) 178-183.
    • (1973) AIAA J. , vol.11 , pp. 178-183
    • Sun, C.T.1    Whitney, J.M.2
  • 36
    • 0023315391 scopus 로고
    • A composite plate theory for arbitrary laminated configurations
    • Toledano A., Murakami H., A composite plate theory for arbitrary laminated configurations, J. Appl. Mech. 54 (1987) 181-189.
    • (1987) J. Appl. Mech. , vol.54 , pp. 181-189
    • Toledano, A.1    Murakami, H.2
  • 37
    • 0023164002 scopus 로고
    • A higher-order laminated plate theory with improved in-plane responses
    • Toledano A., Murakami H., A higher-order laminated plate theory with improved in-plane responses, Int. J. Solids Struct. 23 (1987) 111-131.
    • (1987) Int. J. Solids Struct. , vol.23 , pp. 111-131
    • Toledano, A.1    Murakami, H.2
  • 40
    • 0001806767 scopus 로고
    • A higher order theory for extensional motion of laminated composites
    • Whitney J.M., Sun C.T., A higher order theory for extensional motion of laminated composites, J. Sound Vib. 30 (1973) 85-97.
    • (1973) J. Sound Vib. , vol.30 , pp. 85-97
    • Whitney, J.M.1    Sun, C.T.2
  • 41
    • 0031232495 scopus 로고    scopus 로고
    • Maupertuis - Lagrange mixed variational formula for laminated composite structures with a refined higher-order beam theory
    • Zenkour A.M., Maupertuis - Lagrange mixed variational formula for laminated composite structures with a refined higher-order beam theory, Int. J. Non-linear Mech. 32 (1997) 989-1001.
    • (1997) Int. J. Non-linear Mech. , vol.32 , pp. 989-1001
    • Zenkour, A.M.1
  • 42
    • 0031988636 scopus 로고    scopus 로고
    • Vibration of axisymmetric shear deformable cross-ply laminated cylindrical shells - A variational approach
    • Zenkour A.M., Vibration of axisymmetric shear deformable cross-ply laminated cylindrical shells - A variational approach, Int. J. Eng. Sci. 36 (1998a) 219-231.
    • (1998) Int. J. Eng. Sci. , vol.36 , pp. 219-231
    • Zenkour, A.M.1
  • 43
    • 0001215036 scopus 로고    scopus 로고
    • A generalized mixed variational formula for the analysis of laminated plates, smart materials, structures and MEMS
    • Vasudev K. Aatre, Vijay K. Varadan, Vasundra V. Varadan (Eds.)
    • Zenkour A.M., A generalized mixed variational formula for the analysis of laminated plates, smart materials, structures and MEMS, Vasudev K. Aatre, Vijay K. Varadan, Vasundra V. Varadan (Eds.), Proceedings of SPIE 3321, 1998b, pp. 698-709.
    • (1998) Proceedings of SPIE , vol.3321 , pp. 698-709
    • Zenkour, A.M.1
  • 44
    • 0007154926 scopus 로고    scopus 로고
    • Buckling and free vibration of elastic plates using simple and mixed shear deformation theories
    • in press
    • Zenkour A.M., Buckling and free vibration of elastic plates using simple and mixed shear deformation theories, Acta Mech. (2000), in press.
    • (2000) Acta Mech.
    • Zenkour, A.M.1
  • 45
    • 0032635440 scopus 로고    scopus 로고
    • Non-homogeneous response of composite cross-ply laminated plates using a higher-order plate theory
    • Zenkour A.M., Fares M.E., Non-homogeneous response of composite cross-ply laminated plates using a higher-order plate theory, Compos. Struct. 44 (1999) 297-305.
    • (1999) Compos. Struct. , vol.44 , pp. 297-305
    • Zenkour, A.M.1    Fares, M.E.2
  • 46
    • 0034350274 scopus 로고    scopus 로고
    • Thermal bending analysis of laminated composite cylindrical shells using a refined first-order theory
    • in press
    • Zenkour A.M., Fares M.E., Thermal bending analysis of laminated composite cylindrical shells using a refined first-order theory, J. Thermal Stresses (2000), in press.
    • (2000) J. Thermal Stresses
    • Zenkour, A.M.1    Fares, M.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.