메뉴 건너뛰기




Volumn 131, Issue 1, 2009, Pages 0110071-0110079

Effect of nonhomogeneity on vibration of orthotropic rectangular plates of varying thickness resting on pasternak foundation

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL EFFICIENCY; DESIGN; ELASTIC MODULI; EQUATIONS OF MOTION; ORDINARY DIFFERENTIAL EQUATIONS; ORTHOTROPIC PLATES; RECTANGULAR PLATE; VIBRATIONS (MECHANICAL);

EID: 77955184030     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2980399     Document Type: Article
Times cited : (17)

References (34)
  • 1
    • 1942419273 scopus 로고
    • Note on forced vibration of a thin non-homogeneous circular plate with central hole
    • Bose, R. K., 1967, "Note on Forced Vibration of a Thin Non-Homogeneous Circular Plate With Central Hole," Indian J. Phys., 41, pp. 886-890.
    • (1967) Indian J. Phys. , vol.41 , pp. 886-890
    • Bose, R.K.1
  • 2
    • 1942483301 scopus 로고
    • Note on the torsional vibration of a finite circular cylinder of non-homogeneous material by a particular type of twist on one of the plane surface
    • Biswas, S. K., 1969, "Note on the Torsional Vibration of a Finite Circular Cylinder of Non-Homogeneous Material by a Particular Type of Twist on One of the Plane Surface," Indian J. Phys., 43, pp. 320-323.
    • (1969) Indian J. Phys. , vol.43 , pp. 320-323
    • Biswas, S.K.1
  • 3
    • 0043149501 scopus 로고
    • Vibration of inhomogeneous thin plates using a high-precision triangular element
    • Rao, G. V., Rao, B. P., and Raju, I. S., 1974, "Vibration of Inhomogeneous Thin Plates Using a High-Precision Triangular Element," J. Sound Vib., 34(3), pp. 444-445.
    • (1974) J. Sound Vib. , vol.34 , Issue.3 , pp. 444-445
    • Rao, G.V.1    Rao, B.P.2    Raju, I.S.3
  • 4
    • 0020186713 scopus 로고
    • Vibration of non- homogeneous plates of variable thickness
    • Tomar, J. S., Gupta, D. C., and Jain, N. C., 1982, "Vibration of Non- Homogeneous Plates of Variable Thickness," J. Acoust. Soc. Am., 72(3), pp. 851-855.
    • (1982) J. Acoust. Soc. Am. , vol.72 , Issue.3 , pp. 851-855
    • Tomar, J.S.1    Gupta, D.C.2    Jain, N.C.3
  • 5
    • 1942483303 scopus 로고
    • Free vibration of an isotropic non-homogeneous infinite plate of parabolically varying thickness
    • Tomar, J. S., Gupta, D. C., and Jain, N. C., 1984, "Free Vibration of an Isotropic Non-Homogeneous Infinite Plate of Parabolically Varying Thickness," Indian J. Pure Appl. Math., 15(2), pp. 211-220.
    • (1984) Indian J. Pure Appl. Math. , vol.15 , Issue.2 , pp. 211-220
    • Tomar, J.S.1    Gupta, D.C.2    Jain, N.C.3
  • 6
    • 33748806314 scopus 로고    scopus 로고
    • Vibration analysis of non- homogeneous circular plate of non-linear thickness variation by differential quadrature method
    • Gupta, U. S., Lal, R., and Sharma, S., 2006, "Vibration Analysis of Non- Homogeneous Circular Plate of Non-Linear Thickness Variation by Differential Quadrature Method," J. Sound Vib., 298(4-5), pp. 892-906.
    • (2006) J. Sound Vib. , vol.298 , Issue.4-5 , pp. 892-906
    • Gupta, U.S.1    Lal, R.2    Sharma, S.3
  • 7
    • 34248346300 scopus 로고    scopus 로고
    • Vibration of non- homogeneous orthotropic elliptic and circular plates with variable thickness
    • Chakraverty, S., Jindal, R., and Agarwal, V. K., 2007, "Vibration of Non- Homogeneous Orthotropic Elliptic and Circular Plates With Variable Thickness," ASME J. Vibr. Acoust., 129(2), pp. 256-259.
    • (2007) ASME J. Vibr. Acoust. , vol.129 , Issue.2 , pp. 256-259
    • Chakraverty, S.1    Jindal, R.2    Agarwal, V.K.3
  • 8
    • 1942421166 scopus 로고    scopus 로고
    • Axisymmetric vibrations of non- homogeneous polar orthotropic annular plate of variable thickness
    • Lal, R., and Sharma, S., 2004, "Axisymmetric Vibrations of Non- Homogeneous Polar Orthotropic Annular Plate of Variable Thickness," J. Sound Vib., 272(1-2), pp. 245-265.
    • (2004) J. Sound Vib. , vol.272 , Issue.1-2 , pp. 245-265
    • Lal, R.1    Sharma, S.2
  • 9
    • 34447521475 scopus 로고    scopus 로고
    • Transverse vibrations of non-homogeneous orthotropic rectangular plates of variable thickness: A spline technique
    • Lal, R., and Dhanpati, 2007, "Transverse Vibrations of Non-Homogeneous Orthotropic Rectangular Plates of Variable Thickness: A Spline Technique," J. Sound Vib., 306(1-2), pp. 203-214.
    • (2007) J. Sound Vib. , vol.306 , Issue.1-2 , pp. 203-214
    • Lal, R.1    Dhanpati2
  • 10
    • 0003636706 scopus 로고
    • The University of Michigan Press, Ann Arbor, MI
    • Hetenyi, M., 1946, Beams on Elastic Foundation, The University of Michigan Press, Ann Arbor, MI.
    • (1946) Beams on Elastic Foundation
    • Hetenyi, M.1
  • 12
    • 0000192375 scopus 로고
    • Elastic and viscoelastic foundation models
    • Kerr, A. D., 1964, "Elastic and Viscoelastic Foundation Models," ASME J. Appl. Mech., 31(3), pp. 491-498.
    • (1964) ASME J. Appl. Mech. , vol.31 , Issue.3 , pp. 491-498
    • Kerr, A.D.1
  • 13
    • 0004813174 scopus 로고
    • Beams and plates on elastic foundation and related problems
    • Hetenyi, M., 1966, "Beams and Plates on Elastic Foundation and Related Problems," Appl. Mech. Rev., 19, pp. 95-102.
    • (1966) Appl. Mech. Rev. , vol.19 , pp. 95-102
    • Hetenyi, M.1
  • 14
    • 35348944456 scopus 로고    scopus 로고
    • Lateral vibration of two axially translating beams interconnected by a winkler foundation
    • Gaith, M., and Müftü, S., 2007, "Lateral Vibration of Two Axially Translating Beams Interconnected by a Winkler Foundation," ASME J. Vibr. Acoust., 129(3), pp. 256-259.
    • (2007) ASME J. Vibr. Acoust. , vol.129 , Issue.3 , pp. 256-259
    • Gaith, M.1    Müftü, S.2
  • 15
    • 0024915537 scopus 로고
    • Rectangular mindlin plates on elastic foundation
    • Kobayashi, H., and Sonoda, K., 1989, "Rectangular Mindlin Plates on Elastic Foundation," Int. J. Mech. Sci., 31(9), pp. 679-692.
    • (1989) Int. J. Mech. Sci. , vol.31 , Issue.9 , pp. 679-692
    • Kobayashi, H.1    Sonoda, K.2
  • 16
    • 0025703013 scopus 로고
    • Vibration and buckling of anisotropic assemblies with winkler foundation
    • Kennedy, D., and Williams, F. W., 1990, "Vibration and Buckling of Anisotropic Assemblies With Winkler Foundation," J. Sound Vib., 138(3), pp. 501- 510.
    • (1990) J. Sound Vib. , vol.138 , Issue.3 , pp. 501-510
    • Kennedy, D.1    Williams, F.W.2
  • 17
    • 0025433633 scopus 로고
    • Effect of elastic foundation on the mode shapes in stability and vibration problems of simply supported rectangular plates
    • Raju, K. K., and Rao, G. V., 1990, "Effect of Elastic Foundation on the Mode Shapes in Stability and Vibration Problems of Simply Supported Rectangular Plates," J. Sound Vib., 139(1), pp. 170-173.
    • (1990) J. Sound Vib. , vol.139 , Issue.1 , pp. 170-173
    • Raju, K.K.1    Rao, G.V.2
  • 18
    • 0030127739 scopus 로고    scopus 로고
    • Differential quadrature method for mindlin plates on winkler foundation
    • Liew, K. M., Han, J. B., Xiao, Z. M., and Du, H., 1996, "Differential Quadrature Method for Mindlin Plates on Winkler Foundation," Int. J. Mech. Sci., 38(4), pp. 405-421.
    • (1996) Int. J. Mech. Sci. , vol.38 , Issue.4 , pp. 405-421
    • Liew, K.M.1    Han, J.B.2    Xiao, Z.M.3    Du, H.4
  • 19
    • 0033123698 scopus 로고    scopus 로고
    • Vibration of stepped rectangular thin plates on winkler foundation
    • Yingshi, Z., 1999, "Vibration of Stepped Rectangular Thin Plates on Winkler Foundation," Appl. Math. Mech., 20(5), pp. 568-578.
    • (1999) Appl. Math. Mech. , vol.20 , Issue.5 , pp. 568-578
    • Yingshi, Z.1
  • 20
    • 0015404274 scopus 로고
    • A finite element analysis of plates on a two parameter foundation model
    • Yang, T. Y., 1972, "A Finite Element Analysis of Plates on a Two Parameter Foundation Model," Comput. Struct., 2(4), pp. 593-614.
    • (1972) Comput. Struct. , vol.2 , Issue.4 , pp. 593-614
    • Yang, T.Y.1
  • 21
    • 0017427210 scopus 로고
    • Uniformly loaded, simply supported, antisymmetrically laminated, rectangular plate on a winkler-pasternak foundation
    • Turvey, G. J., 1977, "Uniformly Loaded, Simply Supported, Antisymmetrically Laminated, Rectangular Plate on a Winkler-Pasternak Foundation," Int. J. Solids Struct., 13(5), pp. 437-444.
    • (1977) Int. J. Solids Struct. , vol.13 , Issue.5 , pp. 437-444
    • Turvey, G.J.1
  • 22
    • 0022917039 scopus 로고
    • Clamped plates on pasternak- type elastic foundation by the boundary element method
    • Katiskadelis, J. T., and Kallivokas, L. F., 1986, "Clamped Plates on Pasternak- Type Elastic Foundation by the Boundary Element Method," ASME J. Appl. Mech., 53(4), pp. 909-917.
    • (1986) ASME J. Appl. Mech. , vol.53 , Issue.4 , pp. 909-917
    • Katiskadelis, J.T.1    Kallivokas, L.F.2
  • 23
    • 0026624244 scopus 로고
    • Fundamental solutions and boundary integral equations for reissner's plates on two parameter foundations
    • Wang, J. G., Wang, X. X., and Haung, M. K., 1992, "Fundamental Solutions and Boundary Integral Equations for Reissner's Plates on Two Parameter Foundations," Int. J. Solids Struct., 29(10), pp. 1233-1239.
    • (1992) Int. J. Solids Struct. , vol.29 , Issue.10 , pp. 1233-1239
    • Wang, J.G.1    Wang, X.X.2    Haung, M.K.3
  • 24
    • 0031188819 scopus 로고    scopus 로고
    • Vibration of initially stressed reddy plates on a winkler-pasternak foundation
    • Wang, C. W., Wang, C., and Ang, K. K., 1997, "Vibration of Initially Stressed Reddy Plates on a Winkler-Pasternak Foundation," J. Sound Vib., 204(2), pp. 203-212.
    • (1997) J. Sound Vib. , vol.204 , Issue.2 , pp. 203-212
    • Wang, C.W.1    Wang, C.2    Ang, K.K.3
  • 25
    • 0032064871 scopus 로고    scopus 로고
    • Free vibration analysis of orthotropic plates resting on pasternak foundation by mixed finite element formulation
    • Omurtag, M. H., and Kadioglu, F., 1998, "Free Vibration Analysis of Orthotropic Plates Resting on Pasternak Foundation by Mixed Finite Element Formulation," Comput. Struct., 67(4), pp. 253-265.
    • (1998) Comput. Struct. , vol.67 , Issue.4 , pp. 253-265
    • Omurtag, M.H.1    Kadioglu, F.2
  • 26
    • 4344643150 scopus 로고    scopus 로고
    • Vibration of non-uniform thick plates on elastic foundation by differential quadrature method
    • Malekzadeh, P., and Karami, G., 2004, "Vibration of Non-Uniform Thick Plates on Elastic Foundation by Differential Quadrature Method," Eng. Struct., 26(10), pp. 1473-1482.
    • (2004) Eng. Struct. , vol.26 , Issue.10 , pp. 1473-1482
    • Malekzadeh, P.1    Karami, G.2
  • 27
    • 27644548949 scopus 로고    scopus 로고
    • Transverse vibration of mindlin plates on two-parameter foundation by analytical trapezoidal p-elements
    • Leung, A. V. T., and Zhu, B., 2005, "Transverse Vibration of Mindlin Plates on Two-Parameter Foundation by Analytical Trapezoidal p-Elements," J. Eng. Mech., 131(11), pp. 1140-1145.
    • (2005) J. Eng. Mech. , vol.131 , Issue.11 , pp. 1140-1145
    • Leung, A.V.T.1    Zhu, B.2
  • 28
    • 0003895417 scopus 로고
    • Translated by S. W. Tsai and T. Cheron, Gordon and Breach, New York
    • Lekhnitskii, S. G., 1968, Anisotropic Plates, Translated by S. W. Tsai and T. Cheron, Gordon and Breach, New York.
    • (1968) Anisotropic Plates
    • Lekhnitskii, S.G.1
  • 29
    • 0004195630 scopus 로고
    • Noordhoff International, Leydon, The Netherlands
    • Panc, V., 1975, Theories of Elastic Plates, Noordhoff International, Leydon, The Netherlands.
    • (1975) Theories of Elastic Plates
    • Panc, V.1
  • 30
    • 0034818998 scopus 로고    scopus 로고
    • Chebyshev polynomials in the study of transverse vibrations of nonuniform rectangular orthotropic plates
    • Lal, R., Gupta, U. S., and Goel, C., 2001, "Chebyshev Polynomials in the Study of Transverse Vibrations of Nonuniform Rectangular Orthotropic Plates," Shock Vib. Dig., 33(2), pp. 103-112.
    • (2001) Shock Vib. Dig. , vol.33 , Issue.2 , pp. 103-112
    • Lal, R.1    Gupta, U.S.2    Goel, C.3
  • 31
    • 24344485974 scopus 로고    scopus 로고
    • Approximate solution for free vibration of thin orthotropic rectangular plates
    • Biancolini, M. E., Brutti, C., and Reccia, L., 2005, "Approximate Solution for Free Vibration of Thin Orthotropic Rectangular Plates," J. Sound Vib., 288(1- 2), pp. 321-344.
    • (2005) J. Sound Vib. , vol.288 , Issue.1-2 , pp. 321-344
    • Biancolini, M.E.1    Brutti, C.2    Reccia, L.3
  • 32
    • 0003758712 scopus 로고
    • Government Printing Office, Washington, DC, NASA SP-160
    • Leissa, A. W., 1969, Vibration of Plates, Government Printing Office, Washington, DC, NASA SP-160.
    • (1969) Vibration of Plates
    • Leissa, A.W.1
  • 33
    • 0039482984 scopus 로고
    • Free vibration of rectangular plates of parabolically varying thickness
    • Jain, R. K., and Soni, S. R., 1973, "Free Vibration of Rectangular Plates of Parabolically Varying Thickness," Indian J. Pure Appl. Math., 4(3), pp. 267- 277.
    • (1973) Indian J. Pure Appl. Math. , vol.4 , Issue.3 , pp. 267-277
    • Jain, R.K.1    Soni, S.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.