메뉴 건너뛰기




Volumn 41, Issue 9-10, 2004, Pages 2235-2257

Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections

Author keywords

Functionally gradient material; Geometric imperfection; Higher order shear deformation plate theory; Laminated plate; Nonlinear vibration

Indexed keywords

GALERKIN METHODS; NUMERICAL METHODS; SHEAR DEFORMATION; SILICON NITRIDE; SUBSTRATES; THERMODYNAMIC PROPERTIES; VIBRATIONS (MECHANICAL);

EID: 1842588621     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.12.019     Document Type: Article
Times cited : (153)

References (40)
  • 2
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert C.W. Malik M. Differential quadrature method in computational mechanics: A review Applied Mechanics Review 49 1996 1-28
    • (1996) Applied Mechanics Review , vol.49 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 3
    • 0027202868 scopus 로고
    • Differential quadrature for static and free vibration analysis of anisotropic plates
    • Bert C.W. Wang X. Striz A.G. Differential quadrature for static and free vibration analysis of anisotropic plates International Journal of Solids and Structures 30 1993 1737-1744
    • (1993) International Journal of Solids and Structures , vol.30 , pp. 1737-1744
    • Bert, C.W.1    Wang, X.2    Striz, A.G.3
  • 4
    • 0024014784 scopus 로고    scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • Bert C.W. Jang S.K. Striz A.G. Two new approximate methods for analyzing free vibration of structural components AIAA Journal 26 1998 612-618
    • (1998) AIAA Journal , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 5
    • 0027575368 scopus 로고
    • Large amplitude vibrations of imperfect antisymmetric angle-ply laminated plates
    • Bhimaraddi A. Large amplitude vibrations of imperfect antisymmetric angle-ply laminated plates Journal of Sound and Vibration 162 1993 457-470
    • (1993) Journal of Sound and Vibration , vol.162 , pp. 457-470
    • Bhimaraddi, A.1
  • 7
    • 0016999188 scopus 로고
    • Free flexural vibration of initially imperfect thin plates with large elastic amplitudes
    • Celep Z. Free flexural vibration of initially imperfect thin plates with large elastic amplitudes ZAMM 56 1976 423-428
    • (1976) ZAMM , vol.56 , pp. 423-428
    • Celep, Z.1
  • 8
    • 0019064869 scopus 로고
    • Shear and rotatory inertia effects on the nonlinear vibration of the initially imperfect plates
    • Celep Z. Shear and rotatory inertia effects on the nonlinear vibration of the initially imperfect plates Journal of Applied Mechanics ASME 47 1980 662-666
    • (1980) Journal of Applied Mechanics ASME , vol.47 , pp. 662-666
    • Celep, Z.1
  • 9
    • 0026634533 scopus 로고
    • Effects of geometric imperfections and large amplitudes on vibrations of an initially stressed Mindlin plate
    • Chen L.W. Lin C.C. Effects of geometric imperfections and large amplitudes on vibrations of an initially stressed Mindlin plate Applied Acoustics 35 1992 265-282
    • (1992) Applied Acoustics , vol.35 , pp. 265-282
    • Chen, L.W.1    Lin, C.C.2
  • 10
    • 0027308334 scopus 로고
    • Nonlinear vibration of antisymmetric imperfect angle-ply laminated plates
    • Chen L.W. Yang J.Y. Nonlinear vibration of antisymmetric imperfect angle-ply laminated plates Composite Structures 23 1993 39-46
    • (1993) Composite Structures , vol.23 , pp. 39-46
    • Chen, L.W.1    Yang, J.Y.2
  • 12
    • 0020845803 scopus 로고
    • Large amplitude axisymmetric vibrations of geometrically imperfect circular plates
    • Hui D. Large amplitude axisymmetric vibrations of geometrically imperfect circular plates Journal of Sound and Vibration 91 1983 239-246
    • (1983) Journal of Sound and Vibration , vol.91 , pp. 239-246
    • Hui, D.1
  • 13
    • 0021940845 scopus 로고
    • Soft-spring nonlinear vibrations of antisymmetrically laminated rectangular plates
    • Hui D. Soft-spring nonlinear vibrations of antisymmetrically laminated rectangular plates International Journal of Mechanical Sciences 27 1985 397-408
    • (1985) International Journal of Mechanical Sciences , vol.27 , pp. 397-408
    • Hui, D.1
  • 14
    • 0020909396 scopus 로고
    • Effects of geometric imperfections on large amplitude vibrations of biaxially compressed rectangular flat plates
    • Hui D. Leissa A.W. Effects of geometric imperfections on large amplitude vibrations of biaxially compressed rectangular flat plates Journal of Applied Mechanics ASME 50 1983 750-756
    • (1983) Journal of Applied Mechanics ASME , vol.50 , pp. 750-756
    • Hui, D.1    Leissa, A.W.2
  • 17
    • 0023438363 scopus 로고
    • Buckling, postbuckling, and nonlinear vibrations of imperfect plates
    • Kapania R.K. Yang T.Y. Buckling, postbuckling, and nonlinear vibrations of imperfect plates AIAA Journal 25 1987 1338-1346
    • (1987) AIAA Journal , vol.25 , pp. 1338-1346
    • Kapania, R.K.1    Yang, T.Y.2
  • 18
    • 0035400968 scopus 로고    scopus 로고
    • Three-dimensional static solutions of rectangular plates by variant differential quadrature method
    • Liew K.M. Teo T.M. Han J.B. Three-dimensional static solutions of rectangular plates by variant differential quadrature method International Journal of Mechanical Sciences 43 2001 1611-1628
    • (2001) International Journal of Mechanical Sciences , vol.43 , pp. 1611-1628
    • Liew, K.M.1    Teo, T.M.2    Han, J.B.3
  • 19
    • 0038345935 scopus 로고    scopus 로고
    • Postbuckling of the piezoelectric FGM plates subjected to thermo-electro-mechanical loading
    • Liew K.M. Yang J. Kitipornchai S. Postbuckling of the piezoelectric FGM plates subjected to thermo-electro-mechanical loading International Journal of Solids and Structures 40 2003 3869-3892
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 3869-3892
    • Liew, K.M.1    Yang, J.2    Kitipornchai, S.3
  • 20
    • 0024965259 scopus 로고
    • Large amplitude vibration of an initially imperfect moderately thick plate
    • Lin C.C. Chen L.W. Large amplitude vibration of an initially imperfect moderately thick plate Journal of Sound and Vibration 135 1989 213-224
    • (1989) Journal of Sound and Vibration , vol.135 , pp. 213-224
    • Lin, C.C.1    Chen, L.W.2
  • 21
    • 0029208664 scopus 로고
    • A model of structure optimization for a functionally graded material
    • Markworth A.J. Saunders H. A model of structure optimization for a functionally graded material Materials Letters 22 1995 103-107
    • (1995) Materials Letters , vol.22 , pp. 103-107
    • Markworth, A.J.1    Saunders, H.2
  • 22
    • 0032631352 scopus 로고    scopus 로고
    • Thermal stresses in functionally graded materials
    • Noda N. Thermal stresses in functionally graded materials Journal of Thermal Stresses 22 1999 477-512
    • (1999) Journal of Thermal Stresses , vol.22 , pp. 477-512
    • Noda, N.1
  • 23
    • 0032209936 scopus 로고    scopus 로고
    • Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
    • Praveen G.N. Reddy J.N. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates International Journal of Solids and Structures 35 1998 4457-4476
    • (1998) International Journal of Solids and Structures , vol.35 , pp. 4457-4476
    • Praveen, G.N.1    Reddy, J.N.2
  • 24
    • 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 International Journal of Solids and Structures 20 1984 881-896
    • (1984) International Journal of Solids and Structures , vol.20 , pp. 881-896
    • Reddy, J.N.1
  • 26
    • 0001228130 scopus 로고    scopus 로고
    • Three-dimensional solutions of smart functionally graded plates
    • Reddy J.N. Cheng Z.Q. Three-dimensional solutions of smart functionally graded plates Journal of Applied Mechanics ASME 68 2001 234-241
    • (2001) Journal of Applied Mechanics ASME , vol.68 , pp. 234-241
    • Reddy, J.N.1    Cheng, Z.Q.2
  • 27
    • 85025203834 scopus 로고
    • Nonlinear vibration analysis of plates: A review and survey of current developments
    • Sathyamoorthy M. Nonlinear vibration analysis of plates: A review and survey of current developments Applied Mechanics Reviews 40 1987 1553-1561
    • (1987) Applied Mechanics Reviews , vol.40 , pp. 1553-1561
    • Sathyamoorthy, M.1
  • 28
    • 0036918291 scopus 로고    scopus 로고
    • Postbuckling analysis of axially loaded functionally graded cylindrical panels in thermal environments
    • Shen H.S. Postbuckling analysis of axially loaded functionally graded cylindrical panels in thermal environments International Journal of Solids and Structures 39 2002 5991-6010
    • (2002) International Journal of Solids and Structures , vol.39 , pp. 5991-6010
    • Shen, H.S.1
  • 29
    • 0036501166 scopus 로고    scopus 로고
    • Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments
    • Shen H.S. Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments International Journal of Mechanical Sciences 44 2002 561-584
    • (2002) International Journal of Mechanical Sciences , vol.44 , pp. 561-584
    • Shen, H.S.1
  • 30
    • 0036602628 scopus 로고    scopus 로고
    • Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments
    • Shen H.S. Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments Composites Science and Technology 62 2002 977-987
    • (2002) Composites Science and Technology , vol.62 , pp. 977-987
    • Shen, H.S.1
  • 31
    • 0037367209 scopus 로고    scopus 로고
    • Postbuckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments
    • Shen H.S. Postbuckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments Engineering Structures 25 2003 487-497
    • (2003) Engineering Structures , vol.25 , pp. 487-497
    • Shen, H.S.1
  • 32
    • 0037512478 scopus 로고    scopus 로고
    • Postbuckling of pressure-loaded functionally graded cylindrical panels in thermal environments
    • Shen H.S. Leung A.Y.T. Postbuckling of pressure-loaded functionally graded cylindrical panels in thermal environments Journal of Engineering Mechanics ASCE 129 2003 414-425
    • (2003) Journal of Engineering Mechanics ASCE , vol.129 , pp. 414-425
    • Shen, H.S.1    Leung, A.Y.T.2
  • 33
    • 0016387761 scopus 로고
    • Large amplitude vibration of some moderately thick structural elements
    • Singh P.N. Sundararajan V. Das Y.C. Large amplitude vibration of some moderately thick structural elements Journal of Sound and Vibration 36 1974 375-387
    • (1974) Journal of Sound and Vibration , vol.36 , pp. 375-387
    • Singh, P.N.1    Sundararajan, V.2    Das, Y.C.3
  • 34
    • 0036640788 scopus 로고    scopus 로고
    • Exact solution for thermoelastic deformations of functionally graded thick rectangular plates
    • Vel S.S. Batra R.C. Exact solution for thermoelastic deformations of functionally graded thick rectangular plates AIAA Journal 40 2002 1421-1433
    • (2002) AIAA Journal , vol.40 , pp. 1421-1433
    • Vel, S.S.1    Batra, R.C.2
  • 35
    • 0033908245 scopus 로고    scopus 로고
    • Effects of periodic and localized imperfections on struts on nonlinear foundations and compression sandwich panels
    • Wadee M.A. Effects of periodic and localized imperfections on struts on nonlinear foundations and compression sandwich panels International Journal of Solids and Structures 37 2000 1191-1209
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 1191-1209
    • Wadee, M.A.1
  • 36
    • 0020500107 scopus 로고
    • Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement-Part 2: Experiment
    • Yamaki N. Otomo K. Chiba M. Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement-Part 2: Experiment Thin-walled Structures 1 1983 101-109
    • (1983) Thin-walled Structures , vol.1 , pp. 101-109
    • Yamaki, N.1    Otomo, K.2    Chiba, M.3
  • 37
    • 0037104820 scopus 로고    scopus 로고
    • Vibration characteristics and transient response of shear deformable functionally graded plates in thermal environment
    • Yang J. Shen H.S. Vibration characteristics and transient response of shear deformable functionally graded plates in thermal environment Journal of Sound and Vibration 255 2002 579-602
    • (2002) Journal of Sound and Vibration , vol.255 , pp. 579-602
    • Yang, J.1    Shen, H.S.2
  • 38
    • 0037366131 scopus 로고    scopus 로고
    • Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions
    • Yang J. Shen H.S. Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions Composites Part B: Engineering 34 2003 103-115
    • (2003) Composites Part B: Engineering , vol.34 , pp. 103-115
    • Yang, J.1    Shen, H.S.2
  • 39
    • 0037408871 scopus 로고    scopus 로고
    • Non-linear analysis of functionally graded plates under transverse and in-plane loads
    • Yang J. Shen H.S. Non-linear analysis of functionally graded plates under transverse and in-plane loads International Journal of Non-Linear Mechanics 38 2003 467-482
    • (2003) International Journal of Non-Linear Mechanics , vol.38 , pp. 467-482
    • Yang, J.1    Shen, H.S.2
  • 40
    • 0037431384 scopus 로고    scopus 로고
    • Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels
    • Yang J. Shen H.S. Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels Journal of Sound and Vibration 261 2003 871-893
    • (2003) Journal of Sound and Vibration , vol.261 , pp. 871-893
    • Yang, J.1    Shen, H.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.