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Volumn 101, Issue , 2013, Pages 111-128

Advances in the Ritz formulation for free vibration response of doubly-curved anisotropic laminated composite shallow and deep shells

Author keywords

Advanced hierarchical shell theories; Doubly curved anisotropic laminated shells; Free vibration; Ritz method

Indexed keywords

ANISOTROPIC LAMINATED SHELL; CARRERA UNIFIED FORMULATIONS; FREE VIBRATION; GOVERNING DIFFERENTIAL EQUATIONS; PRINCIPLE OF VIRTUAL DISPLACEMENTS; RITZ METHODS; SHELL THEORY; TRIGONOMETRIC RITZ FORMULATIONS;

EID: 84875793995     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2013.01.018     Document Type: Article
Times cited : (63)

References (94)
  • 1
    • 0003571634 scopus 로고
    • Stability of thin walled tubes under torsion
    • NACA
    • Donnell LH. Stability of thin walled tubes under torsion. Tech. rep. 479, NACA; 1933.
    • (1933) Tech. rep , vol.479
    • Donnell, L.H.1
  • 3
    • 80052617274 scopus 로고
    • On the stability of cylindrical shells subjected to torsion
    • [in Russian]
    • Mushtari K.M. On the stability of cylindrical shells subjected to torsion. Trudy Kazanskego aviatsionnugo inatituta 1938, 2. [in Russian].
    • (1938) Trudy Kazanskego aviatsionnugo inatituta , vol.2
    • Mushtari, K.M.1
  • 4
    • 0002538006 scopus 로고
    • Certain generalizations of the theory of thin shells
    • [in Russian]
    • Mushtari K.M. Certain generalizations of the theory of thin shells. Izv Fiz Mat Odd pri Kazan Univ 1938, 11(8). [in Russian].
    • (1938) Izv Fiz Mat Odd pri Kazan Univ , vol.11 , Issue.8
    • Mushtari, K.M.1
  • 6
    • 0001488832 scopus 로고
    • The small free vibrations and deformations of a thin elastic shell
    • Love A.E.H. The small free vibrations and deformations of a thin elastic shell. Philos Trans Roy Soc (Lond) Ser A 1888, (179):491-549.
    • (1888) Philos Trans Roy Soc (Lond) Ser A , Issue.179 , pp. 491-549
    • Love, A.E.H.1
  • 10
    • 0003986181 scopus 로고
    • Julius Springer, Berlin, [Reprinted by Edwards Brothers Inc., Ann Arbor, Mich., 1943]
    • Flügge W. Statik und Dynamik der Schalen 1934, Julius Springer, Berlin, [Reprinted by Edwards Brothers Inc., Ann Arbor, Mich., 1943].
    • (1934) Statik und Dynamik der Schalen
    • Flügge, W.1
  • 12
    • 0002598687 scopus 로고
    • General theory of elastic shells
    • Lur'ye A.I. General theory of elastic shells. Prikl Mat Mekh 1940, 4(1):7-34.
    • (1940) Prikl Mat Mekh , vol.4 , Issue.1 , pp. 7-34
    • Lur'ye, A.I.1
  • 13
    • 0001233472 scopus 로고
    • Theory of small deformations of a thin elastic shell
    • Byrne R. Theory of small deformations of a thin elastic shell. Sem Rep Math Univ Calif Pub Math NS 1944, 2(1):103-152.
    • (1944) Sem Rep Math Univ Calif Pub Math NS , vol.2 , Issue.1 , pp. 103-152
    • Byrne, R.1
  • 14
    • 0001620229 scopus 로고
    • A new derivation of the equations of the deformation of elastic shells
    • Reissner E. A new derivation of the equations of the deformation of elastic shells. Am J Math 1941, 63(1):177-184.
    • (1941) Am J Math , vol.63 , Issue.1 , pp. 177-184
    • Reissner, E.1
  • 15
    • 85143517576 scopus 로고
    • On the equations of motion of cylindrical shells
    • Naghdi P.M., Berry J.G. On the equations of motion of cylindrical shells. J Appl Mech 1964, 21(2):160-166.
    • (1964) J Appl Mech , vol.21 , Issue.2 , pp. 160-166
    • Naghdi, P.M.1    Berry, J.G.2
  • 16
    • 0003778962 scopus 로고
    • An improved first approximation theory of thin shells
    • NASA
    • Sanders JL. An improved first approximation theory of thin shells. Tech. rep. R24, NASA; 1959.
    • (1959) Tech. rep , vol.24 R
    • Sanders, J.L.1
  • 17
    • 0040228183 scopus 로고
    • Osnovnye differentsialnye uravnenia obshche teorii uprugikh obolochek
    • [English translation: NACA TM 1241, Basic differential equations in the general theory of elastic shells, 1951]
    • Vlasov V.Z. Osnovnye differentsialnye uravnenia obshche teorii uprugikh obolochek. Prikl Mat Mekh 1944, 8. [English translation: NACA TM 1241, Basic differential equations in the general theory of elastic shells, 1951].
    • (1944) Prikl Mat Mekh , vol.8
    • Vlasov, V.Z.1
  • 18
    • 84875772885 scopus 로고    scopus 로고
    • Obshchaya teoriya obolochek; yeye prilozheniya v tekhike. Gos. Izd. Tekh.-Teor.-Lit., Moscow-Leningrad, 1949 [English translation: NASA TTF-99, General theory of shells and its applications in engineering, 1964].
    • Vlasov VZ. Obshchaya teoriya obolochek; yeye prilozheniya v tekhike. Gos. Izd. Tekh.-Teor.-Lit., Moscow-Leningrad, 1949 [English translation: NASA TTF-99, General theory of shells and its applications in engineering, 1964].
    • Vlasov, V.Z.1
  • 19
    • 0001487407 scopus 로고
    • Flexural vibrations of the walls of thin cylindrical shells having freely supported ends
    • Arnold R.N., Warburton G.B. Flexural vibrations of the walls of thin cylindrical shells having freely supported ends. Proc Roy Soc (Lond) Ser A 1949, (197):238-256.
    • (1949) Proc Roy Soc (Lond) Ser A , Issue.197 , pp. 238-256
    • Arnold, R.N.1    Warburton, G.B.2
  • 20
    • 0002700647 scopus 로고
    • The flexural vibrations of thin cylinders
    • Arnold R.N., Warburton G.B. The flexural vibrations of thin cylinders. Inst Mech Eng Ser A 1953, (167):62-80.
    • (1953) Inst Mech Eng Ser A , Issue.167 , pp. 62-80
    • Arnold, R.N.1    Warburton, G.B.2
  • 21
    • 0011017431 scopus 로고
    • A comparison of the characteristic equations in the theory of circular cylindrical shells
    • Houghton D.S., Johns D.J. A comparison of the characteristic equations in the theory of circular cylindrical shells. Aeronaut Quart 1961, 228-236.
    • (1961) Aeronaut Quart , pp. 228-236
    • Houghton, D.S.1    Johns, D.J.2
  • 22
    • 85040266580 scopus 로고
    • Vibration of shells
    • SP-288, Washington, DC, NASA: Scientific and technical information Office
    • Leissa WA. Vibration of shells. Tech. rep. SP-288, Washington, DC, NASA: Scientific and technical information Office; 1973.
    • (1973) Tech. rep
    • Leissa, W.A.1
  • 24
    • 0000089147 scopus 로고    scopus 로고
    • A study of transverse normal stress effects on vibration of multilayered plates and shells
    • Carrera E. A study of transverse normal stress effects on vibration of multilayered plates and shells. J Sound Vib 1999, 225:803-829.
    • (1999) J Sound Vib , vol.225 , pp. 803-829
    • Carrera, E.1
  • 25
  • 26
    • 0036346225 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered anisotropic composite plates and shells
    • Carrera E. Theories and finite elements for multilayered anisotropic composite plates and shells. Arch Comput Methods Eng 2002, 9(2):87-140.
    • (2002) Arch Comput Methods Eng , vol.9 , Issue.2 , pp. 87-140
    • Carrera, E.1
  • 27
    • 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. Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking. Arch Comput Methods Eng 2003, 10(3):216-296.
    • (2003) Arch Comput Methods Eng , vol.10 , Issue.3 , pp. 216-296
    • Carrera, E.1
  • 28
    • 13344279435 scopus 로고    scopus 로고
    • Developments ideas and evaluation based upon Reissner's mixed variational theorem in the modeling of multilayered plates and shells
    • Carrera E. Developments ideas and evaluation based upon Reissner's mixed variational theorem in the modeling of multilayered plates and shells. Appl Mech Rev 2001, 54:301-329.
    • (2001) Appl Mech Rev , vol.54 , pp. 301-329
    • Carrera, E.1
  • 29
    • 0033099155 scopus 로고    scopus 로고
    • A Reissner's mixed variational theorem applied to vibration analysis of multilayered shells
    • Carrera E. A Reissner's mixed variational theorem applied to vibration analysis of multilayered shells. J Appl Mech 1999, 66:69-78.
    • (1999) J Appl Mech , vol.66 , pp. 69-78
    • Carrera, E.1
  • 30
    • 84868126742 scopus 로고    scopus 로고
    • Accurate free vibration analysis of thermo-mechanically pre/post-buckled anisotropic multilayered plates based on a refined hierarchical trigonometric Ritz formulation
    • Fazzolari F.A., Carrera E. Accurate free vibration analysis of thermo-mechanically pre/post-buckled anisotropic multilayered plates based on a refined hierarchical trigonometric Ritz formulation. Compos Struct 2013, 95:381-402.
    • (2013) Compos Struct , vol.95 , pp. 381-402
    • Fazzolari, F.A.1    Carrera, E.2
  • 31
    • 78650350287 scopus 로고    scopus 로고
    • Guidelines and recommendations to construct theories for metallic and composite plates
    • Carrera E., Petrolo M. Guidelines and recommendations to construct theories for metallic and composite plates. AIAA J 2010, 48:2852-2866.
    • (2010) AIAA J , vol.48 , pp. 2852-2866
    • Carrera, E.1    Petrolo, M.2
  • 32
    • 0024748851 scopus 로고
    • Transverse shear deformation in orthotropic cylindrical pressure vessels using a higher-order shear deformation theory
    • Denis S.T., Palazotto A.N. Transverse shear deformation in orthotropic cylindrical pressure vessels using a higher-order shear deformation theory. AIAA J 1989, 27(10):1441-1447.
    • (1989) AIAA J , vol.27 , Issue.10 , pp. 1441-1447
    • Denis, S.T.1    Palazotto, A.N.2
  • 33
    • 0027698712 scopus 로고
    • Hybrid stress formulation for higher-order theory of laminated shell analysis
    • Di S., Ramm E. Hybrid stress formulation for higher-order theory of laminated shell analysis. Comput Methods Appl Mech Eng 1993, 109:356-359.
    • (1993) Comput Methods Appl Mech Eng , vol.109 , pp. 356-359
    • Di, S.1    Ramm, E.2
  • 34
  • 36
    • 0002187288 scopus 로고
    • General direction of the development of the theory of shells
    • Grigolyuk E.I., Kulicov G.M. General direction of the development of the theory of shells. Mekhanica kompozitnykh Materialov 1988, 24(2):287-298.
    • (1988) Mekhanica kompozitnykh Materialov , vol.24 , Issue.2 , pp. 287-298
    • Grigolyuk, E.I.1    Kulicov, G.M.2
  • 37
    • 0016105738 scopus 로고
    • Asympthotic solutions for orthotropic non-homogeneous shells of revolution
    • Fettahlioglu O.A., Steele C.R. Asympthotic solutions for orthotropic non-homogeneous shells of revolution. J Appl Mech 1974, 41:753-758.
    • (1974) J Appl Mech , vol.41 , pp. 753-758
    • Fettahlioglu, O.A.1    Steele, C.R.2
  • 38
    • 0019137480 scopus 로고
    • Refined theories for non-homogeneous anisotropic, cylindrical shells: Part I - Derivation
    • Widera G.E.O., Logan D.L. Refined theories for non-homogeneous anisotropic, cylindrical shells: Part I - Derivation. J Eng Mech Div ACSE 1980, 106:1053-1057.
    • (1980) J Eng Mech Div ACSE , vol.106 , pp. 1053-1057
    • Widera, G.E.O.1    Logan, D.L.2
  • 39
    • 0023960534 scopus 로고
    • On the derivation of a refined theory for non-homogeneous anisotropic shells of revolution
    • Widera G.E.O., Fan H. On the derivation of a refined theory for non-homogeneous anisotropic shells of revolution. J Appl Mech 1988, 110:102-105.
    • (1988) J Appl Mech , vol.110 , pp. 102-105
    • Widera, G.E.O.1    Fan, H.2
  • 40
    • 0025547880 scopus 로고
    • Stress analysis of laminated circular cylindrical shells, in: Recent developments in composite materials structures
    • ASME winter annual meeting, Dallas, TX; November 25-30
    • Spencer AJM, Watson P, Rogers TG. Stress analysis of laminated circular cylindrical shells, in: Recent developments in composite materials structures. In: Proceedings of the symposium, ASME winter annual meeting, Dallas, TX; November 25-30, 1990. p. 57-60.
    • (1990) Proceedings of the symposium , pp. 57-60
    • Spencer, A.J.M.1    Watson, P.2    Rogers, T.G.3
  • 42
    • 0024657435 scopus 로고
    • A review on the analysis of laminated shells
    • Kapania R.K. A review on the analysis of laminated shells. J Press Vess Technol 1989, 111:88-96.
    • (1989) J Press Vess Technol , vol.111 , pp. 88-96
    • Kapania, R.K.1
  • 43
    • 33745556349 scopus 로고
    • Assessment of computational models for multilayered composite shells
    • Noor A.K., Burton W.S. Assessment of computational models for multilayered composite shells. Appl Mech Rev 1990, 43:2141-2146.
    • (1990) Appl Mech Rev , vol.43 , pp. 2141-2146
    • Noor, A.K.1    Burton, W.S.2
  • 44
    • 85007685241 scopus 로고
    • Influence of boundary conditions on the modal characteristics of thin cylindrical shells
    • Folsberg K. Influence of boundary conditions on the modal characteristics of thin cylindrical shells. AIAA J 1964, 2(12):2150-2157.
    • (1964) AIAA J , vol.2 , Issue.12 , pp. 2150-2157
    • Folsberg, K.1
  • 45
    • 0020734711 scopus 로고
    • Simplified equations and solutions for the vibration of orthotropic cylindrical shells
    • Soedel W. Simplified equations and solutions for the vibration of orthotropic cylindrical shells. J Sound Vib 1983, 87(4):555-566.
    • (1983) J Sound Vib , vol.87 , Issue.4 , pp. 555-566
    • Soedel, W.1
  • 46
    • 77956559337 scopus 로고
    • Vibrations of orthotropic cylindrical shells
    • Das Y.C. Vibrations of orthotropic cylindrical shells. Appl Sci Res 1964, 12(4-5):17-26.
    • (1964) Appl Sci Res , vol.12 , Issue.4-5 , pp. 17-26
    • Das, Y.C.1
  • 47
    • 84915185686 scopus 로고
    • Free vibrations of laminated orthotropic cylindrical shells
    • Dong S.B. Free vibrations of laminated orthotropic cylindrical shells. J Acoust Soc Am 1968, 44:1628-1635.
    • (1968) J Acoust Soc Am , vol.44 , pp. 1628-1635
    • Dong, S.B.1
  • 48
    • 0033164473 scopus 로고    scopus 로고
    • A closed-form solution procedure for circular cylindrical shell vibrations
    • Callahan J., Baruh H. A closed-form solution procedure for circular cylindrical shell vibrations. Int J Solids Struct 1999, 36:2973-3013.
    • (1999) Int J Solids Struct , vol.36 , pp. 2973-3013
    • Callahan, J.1    Baruh, H.2
  • 49
    • 84866335070 scopus 로고    scopus 로고
    • Exact characteristic equations for free vibrations of thin orthotropic circular cylindrical shells
    • Liu B., Xing Y.F., Qatu M.S., Ferreira A.J.M. Exact characteristic equations for free vibrations of thin orthotropic circular cylindrical shells. Compos Struct 2012, 94(2):484-493.
    • (2012) Compos Struct , vol.94 , Issue.2 , pp. 484-493
    • Liu, B.1    Xing, Y.F.2    Qatu, M.S.3    Ferreira, A.J.M.4
  • 50
    • 2342475845 scopus 로고    scopus 로고
    • Free vibration of two-side simply supported laminated cylindrical panels via the mesh-free kp-ritz method
    • Zhao X., Ng T.Y., Liew K.M. Free vibration of two-side simply supported laminated cylindrical panels via the mesh-free kp-ritz method. Int J Mech Sci 2004, 46:123-142.
    • (2004) Int J Mech Sci , vol.46 , pp. 123-142
    • Zhao, X.1    Ng, T.Y.2    Liew, K.M.3
  • 51
    • 0037220211 scopus 로고    scopus 로고
    • Vibration analysis of laminated composite cylindrical panels via a meshfree approach
    • Zhao X., Liew K.M., Ng T.Y. Vibration analysis of laminated composite cylindrical panels via a meshfree approach. Int J Solid Struct 2003, 40:161-180.
    • (2003) Int J Solid Struct , vol.40 , pp. 161-180
    • Zhao, X.1    Liew, K.M.2    Ng, T.Y.3
  • 52
    • 0029410412 scopus 로고
    • A Ritz vibration analysis of doubly-curved rectangular shallow shells using a refined first-order theory
    • Liew K.M., Lim C.W. A Ritz vibration analysis of doubly-curved rectangular shallow shells using a refined first-order theory. Comput Methods Appl Mech Eng 1995, 127:145-162.
    • (1995) Comput Methods Appl Mech Eng , vol.127 , pp. 145-162
    • Liew, K.M.1    Lim, C.W.2
  • 53
    • 0001594874 scopus 로고
    • A higher order theory for vibration of shear deformable cylindrical shallow shells
    • Lm C.W., Liew K.M. A higher order theory for vibration of shear deformable cylindrical shallow shells. Int J Mech Sci 1995, 37(3):277-295.
    • (1995) Int J Mech Sci , vol.37 , Issue.3 , pp. 277-295
    • Lm, C.W.1    Liew, K.M.2
  • 54
    • 0035910299 scopus 로고    scopus 로고
    • The influence of boundary conditions and transverse shear on vibration of angle-ply laminated plates circular cylinders and cylindrical panels
    • Soldatos K.P., Messina A. The influence of boundary conditions and transverse shear on vibration of angle-ply laminated plates circular cylinders and cylindrical panels. Comput Methods Appl Mech Eng 2001, 190:2385-2409.
    • (2001) Comput Methods Appl Mech Eng , vol.190 , pp. 2385-2409
    • Soldatos, K.P.1    Messina, A.2
  • 55
    • 0001595796 scopus 로고    scopus 로고
    • Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions
    • SKP
    • Messina A., SKP Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions. J Sound Vib 1999, 227(4):749-768.
    • (1999) J Sound Vib , vol.227 , Issue.4 , pp. 749-768
    • Messina, A.1
  • 56
    • 0033164514 scopus 로고    scopus 로고
    • Accurate equations for laminated composite deep thick shells
    • Qatu M.S. Accurate equations for laminated composite deep thick shells. Int J Solids Struct 1999, 36(19):2917-2941.
    • (1999) Int J Solids Struct , vol.36 , Issue.19 , pp. 2917-2941
    • Qatu, M.S.1
  • 57
    • 84857923246 scopus 로고    scopus 로고
    • Vibration of doubly curved shallow shells with arbitrary boundaries
    • Qatu M.S., Asadi E. Vibration of doubly curved shallow shells with arbitrary boundaries. Appl Acoust 2012, 73:21-27.
    • (2012) Appl Acoust , vol.73 , pp. 21-27
    • Qatu, M.S.1    Asadi, E.2
  • 58
    • 84655168630 scopus 로고    scopus 로고
    • Static and vibration analyses of thick deep laminated cylindrical shells using 3d and various shear deformation theories
    • Asadi E., Wenchao W., Qatu M.S. Static and vibration analyses of thick deep laminated cylindrical shells using 3d and various shear deformation theories. Compos Struct 2012, 94:494-500.
    • (2012) Compos Struct , vol.94 , pp. 494-500
    • Asadi, E.1    Wenchao, W.2    Qatu, M.S.3
  • 59
    • 78649940882 scopus 로고    scopus 로고
    • A wavelet collocation approach for the analysis of laminated shells
    • Ferreira A.J.M., Castro L.M., Bertoluzza S. A wavelet collocation approach for the analysis of laminated shells. Compos Part B: Eng 2011, 42:99-104.
    • (2011) Compos Part B: Eng , vol.42 , pp. 99-104
    • Ferreira, A.J.M.1    Castro, L.M.2    Bertoluzza, S.3
  • 60
    • 79959340527 scopus 로고    scopus 로고
    • Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation accounting for through-the-thickness deformations
    • Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C. Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation accounting for through-the-thickness deformations. Comput Mech 2011, 48:13-25.
    • (2011) Comput Mech , vol.48 , pp. 13-25
    • Ferreira, A.J.M.1    Carrera, E.2    Cinefra, M.3    Roque, C.M.C.4
  • 61
    • 79955484706 scopus 로고    scopus 로고
    • 2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution
    • Tornabene F. 2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution. Compos Struct 2011, 93:1854-1876.
    • (2011) Compos Struct , vol.93 , pp. 1854-1876
    • Tornabene, F.1
  • 62
    • 77955276497 scopus 로고    scopus 로고
    • Recent research advances on the dynamic analysis of composite shells: 2000-2009
    • Qatu M.S., Rani W.S., Wenchao W. Recent research advances on the dynamic analysis of composite shells: 2000-2009. Composite Structures 2010, 93(1):14-31.
    • (2010) Composite Structures , vol.93 , Issue.1 , pp. 14-31
    • Qatu, M.S.1    Rani, W.S.2    Wenchao, W.3
  • 63
    • 79960784906 scopus 로고    scopus 로고
    • A review of meshless methods for laminated and functionally graded plates and shells
    • Liew K.M., Zhao X., Ferreira A.J.M. A review of meshless methods for laminated and functionally graded plates and shells. Compos Struct 2011, 93:2031-2041.
    • (2011) Compos Struct , vol.93 , pp. 2031-2041
    • Liew, K.M.1    Zhao, X.2    Ferreira, A.J.M.3
  • 64
    • 80053054069 scopus 로고    scopus 로고
    • Advanced variable kinematics Ritz and Galerkin formulation for accurate buckling and vibration analysis of laminated composite plates
    • Fazzolari F.A., Carrera E. Advanced variable kinematics Ritz and Galerkin formulation for accurate buckling and vibration analysis of laminated composite plates. Compos Struct 2011, 94(1):50-67.
    • (2011) Compos Struct , vol.94 , Issue.1 , pp. 50-67
    • Fazzolari, F.A.1    Carrera, E.2
  • 65
    • 84876162811 scopus 로고    scopus 로고
    • Thermo-mechanical buckling analysis of anisotropic multilayered composite and sandwich plates by using refined variable-kinematics theories
    • Fazzolari FA, Carrera E. Thermo-mechanical buckling analysis of anisotropic multilayered composite and sandwich plates by using refined variable-kinematics theories. J Thermal Stress, . http://dx.doi.org/10.1080/01495739.2013.770642.
    • J Thermal Stress
    • Fazzolari, F.A.1    Carrera, E.2
  • 66
    • 84875797579 scopus 로고    scopus 로고
    • Coupled thermoelastic effect in free vibration analysis of anisotropic multilayered plates by using an advanced variable-kinematics Ritz formulation
    • in press.
    • Fazzolari FA, Carrera E. Coupled thermoelastic effect in free vibration analysis of anisotropic multilayered plates by using an advanced variable-kinematics Ritz formulation. Eur J Mech Solid/A, in press.
    • Eur J Mech Solid/A
    • Fazzolari, F.A.1    Carrera, E.2
  • 67
    • 84877677404 scopus 로고    scopus 로고
    • Free vibration analysis of sandwich plates with anisotropic face sheets in thermal environment by using the hierarchical trigonometric Ritz formulation
    • Fazzolari FA, Carrera E. Free vibration analysis of sandwich plates with anisotropic face sheets in thermal environment by using the hierarchical trigonometric Ritz formulation. Compos Part B: Eng, . http://dx.doi.org/10.1016/j.compositesb.2013.01.020.
    • Compos Part B: Eng
    • Fazzolari, F.A.1    Carrera, E.2
  • 68
    • 0033196970 scopus 로고    scopus 로고
    • Multilayered shell theories accounting for layerwise mixed description, Part 1: Governing equations
    • Carrera E. Multilayered shell theories accounting for layerwise mixed description, Part 1: Governing equations. AIAA J 1999, 37(9):1107-1116.
    • (1999) AIAA J , vol.37 , Issue.9 , pp. 1107-1116
    • Carrera, E.1
  • 69
    • 0033196947 scopus 로고    scopus 로고
    • Multilayered shell theories accounting for layerwise mixed description, Part 2: Numerical evaluations
    • Carrera E. Multilayered shell theories accounting for layerwise mixed description, Part 2: Numerical evaluations. AIAA J 1999, 37(9):1117-1124.
    • (1999) AIAA J , vol.37 , Issue.9 , pp. 1117-1124
    • Carrera, E.1
  • 70
    • 0004293737 scopus 로고
    • 4th ed., Dayton: Think Composites
    • Tsai SW. Composites design, 4th ed., Dayton: Think Composites; 1988.
    • (1988) Composites design
    • Tsai, S.W.1
  • 74
    • 84868129812 scopus 로고    scopus 로고
    • Fully coupled thermo-mechanical effect in free vibration analysis of anisotropic multilayered plates by combining hierarchical plates models and a trigonometric Ritz formulation
    • 18-20 June
    • Fazzolari FA. Fully coupled thermo-mechanical effect in free vibration analysis of anisotropic multilayered plates by combining hierarchical plates models and a trigonometric Ritz formulation. In: Mechanics of Nano, Micro and Macro Composite Structures Politecnico di Torino; 18-20 June, 2012.
    • (2012) Mechanics of Nano, Micro and Macro Composite Structures Politecnico di Torino
    • Fazzolari, F.A.1
  • 75
    • 40849140904 scopus 로고    scopus 로고
    • 3 hierarchy plate theories for thick and thin composite plate: the Generalized Unified Formulation
    • 3 hierarchy plate theories for thick and thin composite plate: the Generalized Unified Formulation. Compos Struct 2008, 85:256-270.
    • (2008) Compos Struct , vol.85 , pp. 256-270
    • Demasi, L.1
  • 76
    • 51249098500 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part I: Governing equations
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part I: Governing equations. Compos Struct 2009, 87(1):1-11.
    • (2009) Compos Struct , vol.87 , Issue.1 , pp. 1-11
    • Demasi, L.1
  • 77
    • 51249102593 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part II: Layerwise theories
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part II: Layerwise theories. Compos Struct 2009, 87(1):12-22.
    • (2009) Compos Struct , vol.87 , Issue.1 , pp. 12-22
    • Demasi, L.1
  • 78
    • 52749085411 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part III: Advanced mixed higher order shear deformation theories
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part III: Advanced mixed higher order shear deformation theories. Compos Struct 2009, 87(3):183-184.
    • (2009) Compos Struct , vol.87 , Issue.3 , pp. 183-184
    • Demasi, L.1
  • 79
    • 52749090239 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part VI: Zig-zag theories
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part VI: Zig-zag theories. Compos Struct 2009, 87(3):195-205.
    • (2009) Compos Struct , vol.87 , Issue.3 , pp. 195-205
    • Demasi, L.1
  • 80
    • 51249098500 scopus 로고    scopus 로고
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part V: Results
    • 6 Mixed plate theories based on the Generalized Unified Formulation - Part V: Results. Compos Struct 2009, 88(1):1-16.
    • (2009) Compos Struct , vol.88 , Issue.1 , pp. 1-16
    • Demasi, L.1
  • 81
    • 33745644233 scopus 로고    scopus 로고
    • A unified formulation for finite element analysis of piezoelectric adaptive plates
    • Robaldo A., Carrera E., Benjeddou A. A unified formulation for finite element analysis of piezoelectric adaptive plates. Comput Struct 2006, 84(22-23):1494-1505.
    • (2006) Comput Struct , vol.84 , Issue.22-23 , pp. 1494-1505
    • Robaldo, A.1    Carrera, E.2    Benjeddou, A.3
  • 82
    • 0742281181 scopus 로고    scopus 로고
    • Historical review of zig-zag theories for multilayered plates and shells
    • Carrera E. Historical review of zig-zag theories for multilayered plates and shells. Appl Mech Rev 2003, 56:287-308.
    • (2003) Appl Mech Rev , vol.56 , pp. 287-308
    • Carrera, E.1
  • 83
    • 1842453722 scopus 로고    scopus 로고
    • On the use of Murakami's zig-zag function in the modeling of layered plates and shells
    • Carrera E. On the use of Murakami's zig-zag function in the modeling of layered plates and shells. Compos Struct 2004, 82:541-554.
    • (2004) Compos Struct , vol.82 , pp. 541-554
    • Carrera, E.1
  • 84
    • 20944445651 scopus 로고    scopus 로고
    • Refined multilayered plate elements based on Murakami zig-zag functions
    • Demasi L. Refined multilayered plate elements based on Murakami zig-zag functions. Compos Struct 2005, 70:308-316.
    • (2005) Compos Struct , vol.70 , pp. 308-316
    • Demasi, L.1
  • 85
    • 84866307327 scopus 로고    scopus 로고
    • Partially zig-zag advanced higher order shear deformation theories based on the Generalized Unified Formulation
    • Demasi L. Partially zig-zag advanced higher order shear deformation theories based on the Generalized Unified Formulation. Compos Struct 2012, 94:363-375.
    • (2012) Compos Struct , vol.94 , pp. 363-375
    • Demasi, L.1
  • 86
    • 82455212701 scopus 로고    scopus 로고
    • Vibration analysis of anisotropic simply supported plates by using variable kinematic and Rayleigh-Ritz method
    • Carrera E., Fazzolari F.A., Demasi L. Vibration analysis of anisotropic simply supported plates by using variable kinematic and Rayleigh-Ritz method. J Vib Acoust 2011, 133(6):061017-1-061017-16.
    • (2011) J Vib Acoust , vol.133 , Issue.6
    • Carrera, E.1    Fazzolari, F.A.2    Demasi, L.3
  • 88
    • 0001319310 scopus 로고
    • Three-dimensional vibration of laminated cylinders and cylindrical panels with symmetric or antisymmetric cross-ply lay-up
    • Ye J.Q., Soldatos K.P. Three-dimensional vibration of laminated cylinders and cylindrical panels with symmetric or antisymmetric cross-ply lay-up. Compos Eng 1994, 4:429-444.
    • (1994) Compos Eng , vol.4 , pp. 429-444
    • Ye, J.Q.1    Soldatos, K.P.2
  • 89
    • 0029640454 scopus 로고
    • Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis of a unified shear deformable shell theory
    • Timarci T., Soldatos K.P. Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis of a unified shear deformable shell theory. J Sound Vib 1995, 187(4):609-624.
    • (1995) J Sound Vib , vol.187 , Issue.4 , pp. 609-624
    • Timarci, T.1    Soldatos, K.P.2
  • 90
    • 0026838536 scopus 로고
    • Elasto-dynamic behavior of relatively thick symmetrically laminated anisotropic circular cylindrical shells
    • Di Sciuva M., Carrera E. Elasto-dynamic behavior of relatively thick symmetrically laminated anisotropic circular cylindrical shells. J Appl Mech 1992, 59:222-223.
    • (1992) J Appl Mech , vol.59 , pp. 222-223
    • Di Sciuva, M.1    Carrera, E.2
  • 91
    • 34250728125 scopus 로고    scopus 로고
    • Vibration and buckling of cross-ply laminated circular cylindrical shells according to a global higher-order theory
    • Matsunaga H. Vibration and buckling of cross-ply laminated circular cylindrical shells according to a global higher-order theory. Int J Mech Sci 2007, 49:1060-1075.
    • (2007) Int J Mech Sci , vol.49 , pp. 1060-1075
    • Matsunaga, H.1
  • 92
    • 33747046429 scopus 로고    scopus 로고
    • Static and free vibration analysis of composite shells by radial basis functions
    • Ferreira A.J.M., Roque C.M.C., Jorge R.M.N. Static and free vibration analysis of composite shells by radial basis functions. Eng Anal Bound Elem 2006, 30:719-733.
    • (2006) Eng Anal Bound Elem , vol.30 , pp. 719-733
    • Ferreira, A.J.M.1    Roque, C.M.C.2    Jorge, R.M.N.3
  • 93
    • 79956100488 scopus 로고    scopus 로고
    • Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation accounting for through-the-thickness deformations
    • Ferreira A.J.M., Carrera E., Cinefra M., Roque C.M.C., Polit O. Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation accounting for through-the-thickness deformations. Compos Part B: Eng 2011, 42:1276-1284.
    • (2011) Compos Part B: Eng , vol.42 , pp. 1276-1284
    • Ferreira, A.J.M.1    Carrera, E.2    Cinefra, M.3    Roque, C.M.C.4    Polit, O.5


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