메뉴 건너뛰기




Volumn 18, Issue 1, 2011, Pages 3-13

Accurate vibration analysis of multilayered plates made of functionally graded materials

Author keywords

Carrera Unified Formulation; free vibration; functionally graded materials; multilayered plates

Indexed keywords

CARRERA UNIFIED FORMULATION; CARRERA'S UNIFIED FORMULATION; CLASSICAL THEORY; CLOSED FORM SOLUTIONS; EQUIVALENT SINGLE LAYERS; FREE VIBRATION; FREE VIBRATION PROBLEM; FREE VIBRATION RESPONSE; FUNCTIONALLY GRADED; GOVERNING EQUATIONS; HIERARCHICAL EVALUATION; HIGHER ORDER; LAYER-WISE; MULTILAYERED PLATES; REFINED PLATE THEORY; SIMPLY SUPPORTED; THICKNESS DIRECTION; TRANSVERSE DISPLACEMENTS; VIBRATION MODES;

EID: 79551550398     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376494.2010.519204     Document Type: Article
Times cited : (38)

References (24)
  • 1
    • 28444434721 scopus 로고    scopus 로고
    • Generalized shear deformation theory for bending analysis of functionally graded plates
    • A.M. Zenkour, Generalized Shear Deformation Theory for Bending Analysis of Functionally Graded Plates, Appl.Math.Model., vol. 30, pp. 67-84, 2006.
    • (2006) Appl. Math.Model. , vol.30 , pp. 67-84
    • Zenkour, A.M.1
  • 2
    • 12344328662 scopus 로고    scopus 로고
    • Three-Dimensional elasticity solution for bending of functionally graded rectangular plates
    • M. Kashtalyan, Three-Dimensional Elasticity Solution for Bending of Functionally Graded Rectangular Plates, European J. Mech. A Solids, vol. 23, pp. 853-864, 2004.
    • (2004) European J. Mech. A Solids , vol.23 , pp. 853-864
    • Kashtalyan, M.1
  • 3
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with miss fitting inclusions
    • T. Mori and K. Tanaka, Average Stress in Matrix and Average Elastic Energy of Materials with Miss fitting Inclusions, Acta Metallurgica, vol. 21, pp. 571-574, 1973.
    • (1973) Acta Metallurgica , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 4
    • 17844395970 scopus 로고    scopus 로고
    • Natural frequencies of a functionally graded anisotropic rectangular plate
    • R.C. Batra and J. Jin, Natural Frequencies of a Functionally Graded Anisotropic Rectangular Plate, J. Sound Vib, vol. 282, pp. 509-516, 2005.
    • (2005) J. Sound Vib , vol.282 , pp. 509-516
    • Batra, R.C.1    Jin, J.2
  • 6
    • 27744473911 scopus 로고    scopus 로고
    • Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition
    • R. Kadoli and L Ganesan, Buckling and Free Vibration Analysis of Functionally Graded Cylindrical Shells Subjected to a Temperature-Specified Boundary Condition, J. Sound Vib., vol. 289, pp. 450-480, 2006.
    • (2006) J. Sound Vib. , vol.289 , pp. 450-480
    • Kadoli, R.1    Ganesan, L.2
  • 7
    • 38349101874 scopus 로고    scopus 로고
    • Three-Dimensional vibration analysis of functionally graded material sandwich plates
    • Q. Li, V.P. Iu, and K.P. Kou, Three-Dimensional Vibration Analysis of Functionally Graded Material Sandwich Plates, J. Sound Vib., vol. 311, pp. 498-515, 2008.
    • (2008) J. Sound Vib. , vol.311 , pp. 498-515
    • Li, Q.1    Iu, V.P.2    Kou, K.P.3
  • 8
    • 28444444911 scopus 로고    scopus 로고
    • Nonlinear vibration of a coating-fgmsubstrate cylindrical panel subjected to a temperature gradient
    • K.M. Liew, J. Yang, and Y.F. Wu, Nonlinear Vibration of a Coating-FGMSubstrate Cylindrical Panel Subjected to a Temperature Gradient, Comput. Methods Appl. Mech. Engrg., vol. 195, pp. 1007-1026, 2006.
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 1007-1026
    • Liew, K.M.1    Yang, J.2    Wu, Y.F.3
  • 9
    • 57149120518 scopus 로고    scopus 로고
    • Ananalytical method for free vibration analysis of functionally graded beams
    • S.A. Sina, H.M.Navazi, andH.Haddadpour,AnAnalytical Method for Free Vibration Analysis of Functionally Graded Beams, Materials and Design, vol. 30, pp. 741-747, 2009.
    • (2009) Materials and Design , vol.30 , pp. 741-747
    • Sina, S.A.1    Navazi, H.M.2    Haddadpour, H.3
  • 10
    • 2142713821 scopus 로고    scopus 로고
    • Three-Dimensional vibration analysis of functionally graded material sandwich plates
    • S.S. Vel and R.C. Batra, Three-Dimensional Vibration Analysis of Functionally Graded Material Sandwich Plates, J. Sound Vib., vol. 272, pp. 703-730, 2004.
    • (2004) J. Sound Vib. , vol.272 , pp. 703-730
    • Vel, S.S.1    Batra, R.C.2
  • 11
    • 19944414376 scopus 로고    scopus 로고
    • A comprehensive analysis of functionally graded sandwich plates: Part 2-buckling and free vibration
    • A.M. Zenkour, A Comprehensive Analysis of Functionally Graded Sandwich Plates: Part 2-Buckling and Free Vibration, Int. J. Solids Struct., vol. 42, pp. 5243-5258, 2005.
    • (2005) Int. J. Solids Struct. , vol.42 , pp. 5243-5258
    • Zenkour, A.M.1
  • 12
    • 0000483402 scopus 로고    scopus 로고
    • Evaluation of layer-wisemixed theories for laminated plates analysis
    • E. Carrera, Evaluation of Layer-WiseMixed Theories for Laminated Plates Analysis, AIAA Journal, vol. 26, pp. 830-839, 1998.
    • (1998) AIAA Journal , vol.26 , pp. 830-839
    • Carrera, E.1
  • 13
    • 0142179994 scopus 로고    scopus 로고
    • Theories and finite elements formultilayered plates and shells: A unified compact formulation with numerical assessments and benchmarks
    • E. Carrera, Theories and Finite Elements forMultilayered Plates and Shells: A Unified Compact Formulation with Numerical Assessments and Benchmarks, Arch. Comput. Meth. Eng., vol. 10, pp. 215-296, 2003.
    • (2003) Arch. Comput. Meth. Eng. , vol.10 , pp. 215-296
    • Carrera, E.1
  • 14
    • 38549090090 scopus 로고    scopus 로고
    • Variable kinematic model for the analysis of functionally graded material plates
    • E. Carrera, S. Brischetto, and A. Robaldo, Variable Kinematic Model for the Analysis of Functionally Graded Material Plates, AIAA Journal, vol. 46, pp. 194-203, 2008.
    • (2008) AIAA Journal , vol.46 , pp. 194-203
    • Carrera, E.1    Brischetto, S.2    Robaldo, A.3
  • 15
    • 70349447141 scopus 로고    scopus 로고
    • Advanced mixed theories for bending analysis of functionally graded plates
    • in press, May
    • S. Brischetto and E. Carrera, Advanced Mixed Theories for Bending Analysis of Functionally Graded Plates, Comput. Struct., in press, available on line on May 2008.
    • (2008) Comput. Struct.
    • Brischetto, S.1    Carrera, E.2
  • 16
    • 35148820078 scopus 로고    scopus 로고
    • Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory
    • DOI 10.1016/j.compstruct.2007.01.030, PII S0263822307000311
    • H. Matsunaga, Free Vibration and Stability of Functionally Graded Plates According to a 2-D Higher-Order Deformation Theory, Compos. Struct., vol. 82, pp. 499-512, 2008. (Pubitemid 47543561)
    • (2008) Composite Structures , vol.82 , Issue.4 , pp. 499-512
    • Matsunaga, H.1
  • 18
    • 0036346225 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered anisotropic, composite plates and shells
    • E. Carrera, Theories and Finite Elements for Multilayered Anisotropic, Composite Plates and Shells, Arch. Comput. Meth. Eng., vol. 9, pp. 87- 140, 2002.
    • (2002) Arch. Comput. Meth. Eng. , vol.9 , pp. 87-140
    • Carrera, E.1
  • 19
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • E. Reissner, The Effect of Transverse Shear Deformation on the Bending of Elastic Plates, J. Appl. Mech., vol. 12, pp. 69-76, 1945.
    • (1945) J. Appl. Mech. , vol.12 , pp. 69-76
    • Reissner, E.1
  • 20
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear in flexural motions of isotropic elastic plates
    • R.D. Mindlin, Influence of Rotatory Inertia and Shear in Flexural Motions of Isotropic Elastic Plates, J. Appl. Mech., vol. 18, pp. 31-28, 1951.
    • (1951) J. Appl. Mech. , vol.18 , pp. 31-28
    • Mindlin, R.D.1
  • 21
    • 84930244279 scopus 로고
    • Uber das gleichgewicht und die bewegung einer elastishen scheibe
    • G. Kirchho, Uber das Gleichgewicht und die Bewegung Einer Elastishen Scheibe, Crelles Journal, vol. 40, pp. 51-88, 1850.
    • (1850) Crelles Journal , vol.40 , pp. 51-88
    • Kirchho, G.1
  • 22
    • 0021461290 scopus 로고
    • On a certain mixed variational theory and a proposed application
    • E. Reissner, On a Certain Mixed Variational Theory and a Proposed Application, Int. J. Numer. Meth. Eng., vol. 20, no. 7, pp. 1366-1368, 1984.
    • (1984) Int. J. Numer. Meth. Eng. , vol.20 , Issue.7 , pp. 1366-1368
    • Reissner, E.1
  • 23
    • 0001302897 scopus 로고    scopus 로고
    • Layer-Wise mixed models for accurate vibration analysis of multilayered plates
    • E. Carrera, Layer-Wise Mixed Models for Accurate Vibration Analysis of Multilayered Plates, J. Appl. Mech., vol. 65, pp. 820-828, 1998.
    • (1998) J. Appl. Mech. , vol.65 , pp. 820-828
    • Carrera, E.1
  • 24
    • 0033719169 scopus 로고    scopus 로고
    • An assessment of mixed and classical theories on global and local response of multilayered, orthotropic plates
    • E. Carrera, An Assessment of Mixed and Classical Theories on Global and Local Response of Multilayered, Orthotropic Plates, Comput. Struct., vol. 50, pp. 183-198, 2000.
    • (2000) Comput. Struct. , vol.50 , pp. 183-198
    • Carrera, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.