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Volumn 26, Issue 18, 2007, Pages 1847-1863

Three-dimensional vibration analyses of functionally graded plates under various boundary conditions

Author keywords

Chebyshev polynomials; Functionally graded materials; Ritz method; Vibration

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONALLY GRADED MATERIALS; PLATE METAL; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING;

EID: 36448950189     PISSN: 07316844     EISSN: 15307964     Source Type: Journal    
DOI: 10.1177/0731684407081351     Document Type: Article
Times cited : (98)

References (24)
  • 1
    • 85025753661 scopus 로고
    • The Free Vibration of Rectangular Plates
    • Leissa, A.W. (1973). The Free Vibration of Rectangular Plates. Journal of Sound and Vibration, 31: 257 - 293.
    • (1973) Journal of Sound and Vibration , vol.31 , pp. 257-293
    • Leissa, A.W.1
  • 3
    • 0026122830 scopus 로고
    • Fundamental Investigation of Functionally Graded Materials Manufacturing System using Centrifugal Force
    • Fukui, Y. (1991). Fundamental Investigation of Functionally Graded Materials Manufacturing System using Centrifugal Force, JSME International Journal Series III, 34: 144 - 148.
    • (1991) JSME International Journal Series , vol.34 , pp. 144-148
    • Fukui, Y.1
  • 5
    • 0027628108 scopus 로고
    • Microstructure Evaluation of SiC/Al2O3/Al Alloy Composite Produced by Melt Oxidation
    • Manor, E., Ni, H., Levi, C.G. and Mehrabian, R. (1993). Microstructure Evaluation of SiC/Al2O3/Al Alloy Composite Produced by Melt Oxidation, Journal of American Ceramic Society, 26: 1777 - 1787.
    • (1993) Journal of American Ceramic Society , vol.26 , pp. 1777-1787
    • Manor, E.1    Ni, H.2    Levi, C.G.3    Mehrabian, R.4
  • 6
    • 84975888288 scopus 로고
    • Microstructure and Composition of Alumina/Aluminum Composites made by Directed Oxidation of Aluminum
    • Breval, E., Aghajanian, K. and Luszcz, S.J. (1990). Microstructure and Composition of Alumina/Aluminum Composites made by Directed Oxidation of Aluminum, Journal of American Ceramic Society, 73: 2610 - 2614.
    • (1990) Journal of American Ceramic Society , vol.73 , pp. 2610-2614
    • Breval, E.1    Aghajanian, K.2    Luszcz, S.J.3
  • 8
    • 0033734552 scopus 로고    scopus 로고
    • Exact Correspondance between Eigenvalues of Membranes and Functionally Graded Simply Supported Polygonal Plates
    • Cheng, Z.Q. and Batra, R.C. (2000). Exact Correspondance between Eigenvalues of Membranes and Functionally Graded Simply Supported Polygonal Plates, Journal of Sound and Vibration, 229: 879 - 895.
    • (2000) Journal of Sound and Vibration , vol.229 , pp. 879-895
    • Cheng, Z.Q.1    Batra, R.C.2
  • 9
    • 2142713821 scopus 로고    scopus 로고
    • Three Dimensional Exact Solution for the Vibration of Functionally Graded Rectangular Plates
    • Vel, S.S. and Batra, R.C. (2004). Three Dimensional Exact Solution for the Vibration of Functionally Graded Rectangular Plates, Journal of Sound and Vibration, 272: 703 - 730.
    • (2004) Journal of Sound and Vibration , vol.272 , pp. 703-730
    • Vel, S.S.1    Batra, R.C.2
  • 10
    • 19944414376 scopus 로고    scopus 로고
    • A Comprehensive Analysis of Functionally Graded Sandwich Plates: Part 2- Buckling and Free Vibration
    • Zenkour A.M. (2005). A Comprehensive Analysis of Functionally Graded Sandwich Plates: Part 2- Buckling and Free Vibration, International Journal of Solids and Structures, 42: 5243 - 5258.
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 5243-5258
    • Zenkour, A.M.1
  • 11
    • 0037366131 scopus 로고    scopus 로고
    • Nonlinear Bending Analysis of Shear Deformable Functionally Graded Plates Subjected to Thermal-mechanical Loads under Various Boundary Conditions
    • Yang, J. and Shen, H.S. (2003). Nonlinear Bending Analysis of Shear Deformable Functionally Graded Plates Subjected to Thermal-mechanical Loads under Various Boundary Conditions, Composites: Part B, 34: 103 - 115.
    • (2003) Composites: Part B , vol.34 , pp. 103-115
    • Yang, J.1    Shen, H.S.2
  • 12
    • 11044234519 scopus 로고    scopus 로고
    • Nonlinear Vibration of a Shear Deformable Functionally Graded Plate
    • Chen, C.S. (2005). Nonlinear Vibration of a Shear Deformable Functionally Graded Plate, Composite Structures, 68: 295 - 302.
    • (2005) Composite Structures , vol.68 , pp. 295-302
    • Chen, C.S.1
  • 13
    • 18444386798 scopus 로고    scopus 로고
    • Temperature Dependent Vibration Analysis of Functionally Graded Rectangular Plates
    • Kim, Y.W. (2005). Temperature Dependent Vibration Analysis of Functionally Graded Rectangular Plates, Journal of Sound and Vibration, 284: 531 - 549.
    • (2005) Journal of Sound and Vibration , vol.284 , pp. 531-549
    • Kim, Y.W.1
  • 14
    • 33845211960 scopus 로고    scopus 로고
    • Free Vibration Analysis of Functionally Graded Beams with Simply Supported Edges
    • Aydogdu, M. and Taksin, V. (2007). Free Vibration Analysis of Functionally Graded Beams with Simply Supported Edges, Materials & Design, 28: 1651 - 1656.
    • (2007) Materials & Design , vol.28 , pp. 1651-1656
    • Aydogdu, M.1    Taksin, V.2
  • 15
    • 0033887137 scopus 로고    scopus 로고
    • Three-dimensional Thermoelastic Deformations of a Functionally Graded Elliptic Plate
    • Cheng, Z.Q. and Batra, R.C. (2000). Three-dimensional Thermoelastic Deformations of a Functionally Graded Elliptic Plate, Composite Part B, 31: 97 - 106.
    • (2000) Composite Part B , vol.31 , pp. 97-106
    • Cheng, Z.Q.1    Batra, R.C.2
  • 16
    • 0035442274 scopus 로고    scopus 로고
    • Three-dimensional Thermoelastic Deformations of Functionally Graded Rectangular Plates
    • Reddy, J.N. and Cheng, Z.Q. (2001). Three-dimensional Thermoelastic Deformations of Functionally Graded Rectangular Plates, European Journal of Mechanics A/Solids, 20: 841 - 855.
    • (2001) European Journal of Mechanics A/Solids , vol.20 , pp. 841-855
    • Reddy, J.N.1    Cheng, Z.Q.2
  • 17
    • 0242337694 scopus 로고    scopus 로고
    • Three-dimensional Analysis of Transient Thermal Stresses in Functionally Graded Plates
    • Vel, S.S. and Batra, R.C. (2003). Three-dimensional Analysis of Transient Thermal Stresses in Functionally Graded Plates, International Journal of Solids and Structures, 40: 7181 - 7196.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 7181-7196
    • Vel, S.S.1    Batra, R.C.2
  • 18
    • 0000965178 scopus 로고
    • An Exact Analysis for Vibration of Simply Supported Homogeneous and Laminated Thick Rectangular Plates
    • Srinivas, S., Rao, C.V.J. and Rao, A.K. (1970 a). An Exact Analysis for Vibration of Simply Supported Homogeneous and Laminated Thick Rectangular Plates, Journal of Sound and Vibration, 12: 187 - 199.
    • (1970) Journal of Sound and Vibration , vol.12 , pp. 187-199
    • Srinivas, S.1    Rao, C.V.J.2    Rao, A.K.3
  • 19
    • 0014848028 scopus 로고
    • Some Results from an Exact Analysis of Thick Laminates in Vibration and Buckling
    • Srinivas, S., Rao, C.V.J. and Rao, A.K. (1970 b). Some Results from an Exact Analysis of Thick Laminates in Vibration and Buckling, Journal of Applied Mechanics, 37: 868 - 870.
    • (1970) Journal of Applied Mechanics , vol.37 , pp. 868-870
    • Srinivas, S.1    Rao, C.V.J.2    Rao, A.K.3
  • 20
    • 0028696631 scopus 로고
    • Three-dimensional Vibration of Rectangular Plates: Variance of Simple Support Conditions and Influence of In-plane Inertia
    • Liew, K.M., Hung, K.C. and Lim, M.K. (1994). Three-dimensional Vibration of Rectangular Plates: Variance of Simple Support Conditions and Influence of In-plane Inertia, International Journal of Solids and Structures, 31: 3233 - 3247.
    • (1994) International Journal of Solids and Structures , vol.31 , pp. 3233-3247
    • Liew, K.M.1    Hung, K.C.2    Lim, M.K.3
  • 21
    • 0027831392 scopus 로고
    • A Continuum Three-dimensional Vibration Analysis of Thick Rectangular Plates
    • Liew, K.M., Hung, K.C. and Lim, M.K. (1993). A Continuum Three-dimensional Vibration Analysis of Thick Rectangular Plates, International Journal of Solids and Structures, 30: 3357 - 3379.
    • (1993) International Journal of Solids and Structures , vol.30 , pp. 3357-3379
    • Liew, K.M.1    Hung, K.C.2    Lim, M.K.3
  • 22
    • 0031641685 scopus 로고    scopus 로고
    • Three-dimensional Elasticity Solutions for Free Vibrations of Rectangular Plates by the Differential Quadrature Method
    • Malik, M. and Bert, C.W. (1998). Three-dimensional Elasticity Solutions for Free Vibrations of Rectangular Plates by the Differential Quadrature Method, International Journal of Solids and Structures, 35: 299 - 318.
    • (1998) International Journal of Solids and Structures , vol.35 , pp. 299-318
    • Malik, M.1    Bert, C.W.2
  • 23
    • 0036899325 scopus 로고    scopus 로고
    • Three-Dimensional Vibration Analysis of Thick Rectangular Plates Using Chebyshev Polynomial and Ritz method
    • Zhou, D., Cheung, Y.K., A. U., F. T. K. and Lo, S.H. (2002). Three-Dimensional Vibration Analysis of Thick Rectangular Plates Using Chebyshev Polynomial and Ritz method, International Journal of Solids and Structures, 39: 6339 - 6353.
    • (2002) International Journal of Solids and Structures , vol.39 , pp. 6339-6353
    • Zhou, D.1    Cheung, Y.K.2    Lo, S.H.3
  • 24
    • 0020765661 scopus 로고
    • On the Three Dimensional Vibrations of the Cantilevered Rectangular Parallelepiped
    • Leissa, A.W. and Zhang, Z.D. (1983). On the Three Dimensional Vibrations of the Cantilevered Rectangular Parallelepiped, Journal of Acoustical Society of America, 73: 2013 - 2021.
    • (1983) Journal of Acoustical Society of America , vol.73 , pp. 2013-2021
    • Leissa, A.W.1    Zhang, Z.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.