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Volumn 120, Issue , 2015, Pages 189-199

Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method

Author keywords

Element free IMLS Ritz method; First order shear deformation theory; Free vibration; Functionally graded carbon nanotube reinforced composites; Triangular plates

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; COMPUTATION THEORY; COMPUTATIONAL MECHANICS; NANOCOMPOSITES; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); REINFORCED PLASTICS; REINFORCEMENT; SHEAR DEFORMATION; SHEAR FLOW; STRUCTURAL PANELS; VIBRATION ANALYSIS; VOLUME FRACTION; YARN;

EID: 84908672074     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2014.10.009     Document Type: Article
Times cited : (231)

References (41)
  • 1
    • 0037084909 scopus 로고    scopus 로고
    • Three-dimensional vibration analysis of cantilevered and completely free isosceles triangular plates
    • Cheung Y.K., Zhou D. Three-dimensional vibration analysis of cantilevered and completely free isosceles triangular plates. Int J Solids Struct 2002, 39:673-687.
    • (2002) Int J Solids Struct , vol.39 , pp. 673-687
    • Cheung, Y.K.1    Zhou, D.2
  • 2
    • 84920497555 scopus 로고    scopus 로고
    • Multi-frequency excitation of stiffened triangular plates for large amplitude oscillations
    • Askari H., Saadatnia Z., Esmailzadeh E., Younesian D. Multi-frequency excitation of stiffened triangular plates for large amplitude oscillations. J Sound Vib 2014, 333:5817-5835.
    • (2014) J Sound Vib , vol.333 , pp. 5817-5835
    • Askari, H.1    Saadatnia, Z.2    Esmailzadeh, E.3    Younesian, D.4
  • 3
    • 0034228058 scopus 로고    scopus 로고
    • Free-vibration analysis of right triangular plates with variable thickness
    • Sakiyama T., Huang M. Free-vibration analysis of right triangular plates with variable thickness. J Sound Vib 2000, 234:841-858.
    • (2000) J Sound Vib , vol.234 , pp. 841-858
    • Sakiyama, T.1    Huang, M.2
  • 4
    • 0024985923 scopus 로고
    • Free vibration analysis of isotropic and orthotropic triangular plates
    • Lam K.Y., Liew K.M., Chow S.T. Free vibration analysis of isotropic and orthotropic triangular plates. Int J Mech Sci 1990, 32:455-464.
    • (1990) Int J Mech Sci , vol.32 , pp. 455-464
    • Lam, K.Y.1    Liew, K.M.2    Chow, S.T.3
  • 5
    • 0021097628 scopus 로고
    • A highly accurate analytical solution for free vibration analysis of simply supported right triangular plates
    • Gorman D.J. A highly accurate analytical solution for free vibration analysis of simply supported right triangular plates. J Sound Vib 1983, 89:107-118.
    • (1983) J Sound Vib , vol.89 , pp. 107-118
    • Gorman, D.J.1
  • 7
    • 0027912121 scopus 로고
    • On the use of pb-2 Rayleigh-Ritz method for free-flexural vibration of triangular plates with curved internal supports
    • Liew K.M. On the use of pb-2 Rayleigh-Ritz method for free-flexural vibration of triangular plates with curved internal supports. J Sound Vib 1993, 165:329-340.
    • (1993) J Sound Vib , vol.165 , pp. 329-340
    • Liew, K.M.1
  • 8
    • 0028485081 scopus 로고
    • Aligned carbon nanotube arrays formed by cutting a polymer resin-nanotube composite
    • Ajayan P.M., Stephan O., Colliex C., Trauth D. Aligned carbon nanotube arrays formed by cutting a polymer resin-nanotube composite. Science 1994, 265:1212-1214.
    • (1994) Science , vol.265 , pp. 1212-1214
    • Ajayan, P.M.1    Stephan, O.2    Colliex, C.3    Trauth, D.4
  • 9
    • 1842787286 scopus 로고    scopus 로고
    • Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites
    • Griebel M., Hamaekers J. Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites. Comput Methods Appl Mech Eng 2004, 193:1773-1788.
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 1773-1788
    • Griebel, M.1    Hamaekers, J.2
  • 11
    • 28344445715 scopus 로고    scopus 로고
    • Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis
    • Wuite J., Adali S. Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis. Compos Struct 2005, 71:388-396.
    • (2005) Compos Struct , vol.71 , pp. 388-396
    • Wuite, J.1    Adali, S.2
  • 12
    • 33645136347 scopus 로고    scopus 로고
    • Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube
    • Vodenitcharova T., Zhang L.C. Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube. Int J Solids Struct 2006, 43:3006-3024.
    • (2006) Int J Solids Struct , vol.43 , pp. 3006-3024
    • Vodenitcharova, T.1    Zhang, L.C.2
  • 13
    • 84872027081 scopus 로고    scopus 로고
    • Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method
    • Lei Z.X., Liew K.M., Yu J.L. Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method. Compos Struct 2013, 98:160-168.
    • (2013) Compos Struct , vol.98 , pp. 160-168
    • Lei, Z.X.1    Liew, K.M.2    Yu, J.L.3
  • 14
    • 67349190560 scopus 로고    scopus 로고
    • Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments
    • Shen H.-S. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Compos Struct 2009, 91:9-19.
    • (2009) Compos Struct , vol.91 , pp. 9-19
    • Shen, H.-S.1
  • 15
    • 84855909643 scopus 로고    scopus 로고
    • Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory
    • Zhu P., Lei Z.X., Liew K.M. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Compos Struct 2012, 94:1450-1460.
    • (2012) Compos Struct , vol.94 , pp. 1450-1460
    • Zhu, P.1    Lei, Z.X.2    Liew, K.M.3
  • 16
    • 70350742995 scopus 로고    scopus 로고
    • Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams
    • Ke L.-L., Yang J., Kitipornchai S. Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams. Compos Struct 2010, 92:676-683.
    • (2010) Compos Struct , vol.92 , pp. 676-683
    • Ke, L.-L.1    Yang, J.2    Kitipornchai, S.3
  • 17
    • 84858160567 scopus 로고    scopus 로고
    • Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells
    • Shen H.-S. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells. Compos Part B Eng 2012, 43:1030-1038.
    • (2012) Compos Part B Eng , vol.43 , pp. 1030-1038
    • Shen, H.-S.1
  • 18
    • 77952741719 scopus 로고    scopus 로고
    • Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates
    • Shen H.-S., Zhang C.-L. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Mater Des 2010, 31:3403-3411.
    • (2010) Mater Des , vol.31 , pp. 3403-3411
    • Shen, H.-S.1    Zhang, C.-L.2
  • 19
    • 0021489589 scopus 로고
    • Finite element mesh generation
    • Wördenweber B. Finite element mesh generation. Comput Aided Des 1984, 16:285-291.
    • (1984) Comput Aided Des , vol.16 , pp. 285-291
    • Wördenweber, B.1
  • 20
    • 84888294942 scopus 로고    scopus 로고
    • Automatic versatile parametric procedure for a complete FEM structural analysis of composites having cylinder-shaped reinforcing fibres
    • Naddeo F., Cappetti N., Naddeo A. Automatic versatile parametric procedure for a complete FEM structural analysis of composites having cylinder-shaped reinforcing fibres. Comput Mater Sci 2014, 81:239-245.
    • (2014) Comput Mater Sci , vol.81 , pp. 239-245
    • Naddeo, F.1    Cappetti, N.2    Naddeo, A.3
  • 21
    • 0037397180 scopus 로고    scopus 로고
    • The stress analysis of sandwich shells faced with composite sheets based on 3D FEM
    • Xue M., Cheng L., Hu N. The stress analysis of sandwich shells faced with composite sheets based on 3D FEM. Compos Struct 2003, 60:33-41.
    • (2003) Compos Struct , vol.60 , pp. 33-41
    • Xue, M.1    Cheng, L.2    Hu, N.3
  • 22
    • 84871496354 scopus 로고    scopus 로고
    • Semi-analytical method versus the FEM for analysis of the local post-buckling of thin-walled composite structures
    • Kołakowski Z., Mania R.J. Semi-analytical method versus the FEM for analysis of the local post-buckling of thin-walled composite structures. Compos Struct 2013, 97:99-106.
    • (2013) Compos Struct , vol.97 , pp. 99-106
    • Kołakowski, Z.1    Mania, R.J.2
  • 23
    • 84873166115 scopus 로고    scopus 로고
    • Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method
    • Lei Z.X., Liew K.M., Yu J.L. Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method. Comput Methods Appl Mech Eng 2013, 256:189-199.
    • (2013) Comput Methods Appl Mech Eng , vol.256 , pp. 189-199
    • Lei, Z.X.1    Liew, K.M.2    Yu, J.L.3
  • 24
    • 84883329758 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment
    • Lei Z.X., Liew K.M., Yu J.L. Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment. Compos Struct 2013, 106:128-138.
    • (2013) Compos Struct , vol.106 , pp. 128-138
    • Lei, Z.X.1    Liew, K.M.2    Yu, J.L.3
  • 25
    • 2942633551 scopus 로고    scopus 로고
    • Dynamic analysis of laminated composite plates with piezoelectric sensor/actuator patches using the FSDT mesh-free method
    • Liew K.M., He X.Q., Tan M.J., Lim H.K. Dynamic analysis of laminated composite plates with piezoelectric sensor/actuator patches using the FSDT mesh-free method. Int J Mech Sci 2004, 46:411-431.
    • (2004) Int J Mech Sci , vol.46 , pp. 411-431
    • Liew, K.M.1    He, X.Q.2    Tan, M.J.3    Lim, H.K.4
  • 26
    • 33846493574 scopus 로고    scopus 로고
    • Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method
    • Liew K.M., Hu Y.G., Zhao X., Ng T.Y. Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method. Comput Methods Appl Mech Eng 2006, 196:147-160.
    • (2006) Comput Methods Appl Mech Eng , vol.196 , pp. 147-160
    • Liew, K.M.1    Hu, Y.G.2    Zhao, X.3    Ng, T.Y.4
  • 27
    • 6444242614 scopus 로고    scopus 로고
    • Nonlinear analysis of laminated composite plates using the mesh-free kp-Ritz method based on FSDT
    • Liew K.M., Wang J., Tan M.J., Rajendran S. Nonlinear analysis of laminated composite plates using the mesh-free kp-Ritz method based on FSDT. Comput Methods Appl Mech Eng 2004, 193:4763-4779.
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 4763-4779
    • Liew, K.M.1    Wang, J.2    Tan, M.J.3    Rajendran, S.4
  • 28
    • 84901983187 scopus 로고    scopus 로고
    • Coupling effects in elastic analysis of FGM composite plates by mesh-free methods
    • Sator L., Sladek V., Sladek J. Coupling effects in elastic analysis of FGM composite plates by mesh-free methods. Compos Struct 2014, 115:100-110.
    • (2014) Compos Struct , vol.115 , pp. 100-110
    • Sator, L.1    Sladek, V.2    Sladek, J.3
  • 29
    • 34948813639 scopus 로고    scopus 로고
    • Dynamic stability analysis of composite laminated cylindrical panels via the mesh-free kp-Ritz method
    • Liew K.M., Lee Y.Y., Ng T.Y., Zhao X. Dynamic stability analysis of composite laminated cylindrical panels via the mesh-free kp-Ritz method. Int J Mech Sci 2007, 49:1156-1165.
    • (2007) Int J Mech Sci , vol.49 , pp. 1156-1165
    • Liew, K.M.1    Lee, Y.Y.2    Ng, T.Y.3    Zhao, X.4
  • 30
    • 84906054126 scopus 로고    scopus 로고
    • Free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells
    • Heydarpour Y., Aghdam M.M., Malekzadeh P. Free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells. Compos Struct 2014, 117:187-200.
    • (2014) Compos Struct , vol.117 , pp. 187-200
    • Heydarpour, Y.1    Aghdam, M.M.2    Malekzadeh, P.3
  • 31
    • 84898077664 scopus 로고    scopus 로고
    • Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems
    • Namakian R., Shodja H.M., Mashayekhi M. Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems. Eng Anal Bound Elem 2014, 43:1-18.
    • (2014) Eng Anal Bound Elem , vol.43 , pp. 1-18
    • Namakian, R.1    Shodja, H.M.2    Mashayekhi, M.3
  • 32
    • 80054785940 scopus 로고    scopus 로고
    • Bending analysis of folded laminated plates by the FSDT meshfree method
    • Peng L.X., Liew K.M., Kitipornchai S. Bending analysis of folded laminated plates by the FSDT meshfree method. Procedia Eng 2011, 14:2714-2721.
    • (2011) Procedia Eng , vol.14 , pp. 2714-2721
    • Peng, L.X.1    Liew, K.M.2    Kitipornchai, S.3
  • 33
    • 80052384467 scopus 로고    scopus 로고
    • Free vibration analysis of moderately thick functionally graded plates by local Kriging meshless method
    • Zhu P., Liew K.M. Free vibration analysis of moderately thick functionally graded plates by local Kriging meshless method. Compos Struct 2011, 93:2925-2944.
    • (2011) Compos Struct , vol.93 , pp. 2925-2944
    • Zhu, P.1    Liew, K.M.2
  • 34
    • 84894233262 scopus 로고    scopus 로고
    • Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels
    • Zhang L.W., Lei Z.X., Liew K.M., Yu J.L. Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels. Comput Methods Appl Mech Eng 2014, 273:1-18.
    • (2014) Comput Methods Appl Mech Eng , vol.273 , pp. 1-18
    • Zhang, L.W.1    Lei, Z.X.2    Liew, K.M.3    Yu, J.L.4
  • 35
    • 84885082340 scopus 로고    scopus 로고
    • Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach
    • Liew K.M., Lei Z.X., Yu J.L., Zhang L.W. Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach. Comput Methods Appl Mech Eng 2014, 268:1-17.
    • (2014) Comput Methods Appl Mech Eng , vol.268 , pp. 1-17
    • Liew, K.M.1    Lei, Z.X.2    Yu, J.L.3    Zhang, L.W.4
  • 36
    • 84900852448 scopus 로고    scopus 로고
    • Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method
    • Lei Z.X., Zhang L.W., Liew K.M., Yu J.L. Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method. Compos Struct 2014, 113:328-338.
    • (2014) Compos Struct , vol.113 , pp. 328-338
    • Lei, Z.X.1    Zhang, L.W.2    Liew, K.M.3    Yu, J.L.4
  • 37
    • 84859461368 scopus 로고    scopus 로고
    • Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels
    • Sobhani Aragh B., Nasrollah Barati A.H., Hedayati H. Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels. Compos Part B Eng 2012, 43:1943-1954.
    • (2012) Compos Part B Eng , vol.43 , pp. 1943-1954
    • Sobhani Aragh, B.1    Nasrollah Barati, A.H.2    Hedayati, H.3
  • 38
    • 1842684796 scopus 로고    scopus 로고
    • Prediction of the overall moduli of layered silicate-reinforced nanocomposites - Part I: Basic theory and formulas
    • Wang J., Pyrz R. Prediction of the overall moduli of layered silicate-reinforced nanocomposites - Part I: Basic theory and formulas. Compos Sci Technol 2004, 64:925-934.
    • (2004) Compos Sci Technol , vol.64 , pp. 925-934
    • Wang, J.1    Pyrz, R.2
  • 39
    • 33750608502 scopus 로고    scopus 로고
    • Exact vibration analysis of variable thickness thick annular isotropic and FGM plates
    • Efraim E., Eisenberger M. Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. J Sound Vib 2007, 299:720-738.
    • (2007) J Sound Vib , vol.299 , pp. 720-738
    • Efraim, E.1    Eisenberger, M.2
  • 40
    • 84891538167 scopus 로고    scopus 로고
    • Analyzing three-dimensional viscoelasticity problems via the improved element-free Galerkin (IEFG) method
    • Peng M.J., Li R.X., Cheng Y.M. Analyzing three-dimensional viscoelasticity problems via the improved element-free Galerkin (IEFG) method. Eng Anal Bound Elem 2014, 40:104-113.
    • (2014) Eng Anal Bound Elem , vol.40 , pp. 104-113
    • Peng, M.J.1    Li, R.X.2    Cheng, Y.M.3
  • 41
    • 84856211663 scopus 로고    scopus 로고
    • The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
    • Ren H., Cheng Y. The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems. Eng Anal Bound Elem 2012, 36:873-880.
    • (2012) Eng Anal Bound Elem , vol.36 , pp. 873-880
    • Ren, H.1    Cheng, Y.2


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