메뉴 건너뛰기




Volumn 30, Issue 10, 2008, Pages 2850-2858

Large amplitude flexural vibration analysis of tapered plates with edges elastically restrained against rotation using DQM

Author keywords

DQM; Elastically restrained edges; Free vibration; Large amplitude; Thin tapered plates

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONTROL NONLINEARITIES; CONTROL THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; ITERATIVE METHODS; LATTICE VIBRATIONS; PLATES (STRUCTURAL COMPONENTS); ROTATION; VIBRATION ANALYSIS; VIBRATIONS (MECHANICAL);

EID: 52749087086     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engstruct.2008.03.016     Document Type: Article
Times cited : (33)

References (35)
  • 1
    • 0026138647 scopus 로고
    • Vibration and buckling of tapered rectangular plates with two opposite edges simply supported and the other two edges elastically restrained against rotation
    • Kobayashi H., and Sonoda K. Vibration and buckling of tapered rectangular plates with two opposite edges simply supported and the other two edges elastically restrained against rotation. J Sound Vib 146 (1991) 323-337
    • (1991) J Sound Vib , vol.146 , pp. 323-337
    • Kobayashi, H.1    Sonoda, K.2
  • 2
    • 0027626997 scopus 로고
    • Transverse vibration of trapezoidal plates of variable thickness: Symmetric trapezoids
    • Liew K.M., and Lim M.K. Transverse vibration of trapezoidal plates of variable thickness: Symmetric trapezoids. J Sound Vib 165 (1993) 45-65
    • (1993) J Sound Vib , vol.165 , pp. 45-65
    • Liew, K.M.1    Lim, M.K.2
  • 3
    • 0028763380 scopus 로고
    • Transverse vibration of trapezoidal plates of variable thickness: Unsymmetric trapezoids
    • Liew K.M., Lim C.W., and Lim M.K. Transverse vibration of trapezoidal plates of variable thickness: Unsymmetric trapezoids. J Sound Vib 177 (1994) 479-501
    • (1994) J Sound Vib , vol.177 , pp. 479-501
    • Liew, K.M.1    Lim, C.W.2    Lim, M.K.3
  • 4
    • 0000810357 scopus 로고
    • Natural frequency of edge restrained tapered rectangular plates
    • Grossi R.O., and Bhat R.B. Natural frequency of edge restrained tapered rectangular plates. J Sound Vib 185 (1995) 335-343
    • (1995) J Sound Vib , vol.185 , pp. 335-343
    • Grossi, R.O.1    Bhat, R.B.2
  • 5
    • 0028768813 scopus 로고
    • Vibrations of rectangular with linearly varying thickness and non-uniform boundary conditions
    • Gutierrez R.H., and Laura P.A.A. Vibrations of rectangular with linearly varying thickness and non-uniform boundary conditions. J Sound Vib 185 (1994) 563-566
    • (1994) J Sound Vib , vol.185 , pp. 563-566
    • Gutierrez, R.H.1    Laura, P.A.A.2
  • 6
    • 0001626475 scopus 로고    scopus 로고
    • The free vibrations of tapered plates using a new set of beam functions with the Rayleigh-Ritz method
    • Cheung Y.K., and Zhou D. The free vibrations of tapered plates using a new set of beam functions with the Rayleigh-Ritz method. J Sound Vib 223 (1999) 703-722
    • (1999) J Sound Vib , vol.223 , pp. 703-722
    • Cheung, Y.K.1    Zhou, D.2
  • 7
    • 0035931821 scopus 로고    scopus 로고
    • A semi analytical solution of the flexural vibration of orthotropic plates of variable thickness
    • Ashour A.S. A semi analytical solution of the flexural vibration of orthotropic plates of variable thickness. J Sound Vib 240 (2001) 431-445
    • (2001) J Sound Vib , vol.240 , pp. 431-445
    • Ashour, A.S.1
  • 8
    • 0242720916 scopus 로고    scopus 로고
    • Vibration of variable thickness plates with edges elastically restrained against translation and rotation
    • Ashour A.S. Vibration of variable thickness plates with edges elastically restrained against translation and rotation. Thin-Walled Struct 42 (2004) 1-24
    • (2004) Thin-Walled Struct , vol.42 , pp. 1-24
    • Ashour, A.S.1
  • 9
    • 24344447197 scopus 로고    scopus 로고
    • Vibration of elastically restrained cross-ply laminated plates with variable thickness plates
    • Ashour A.S. Vibration of elastically restrained cross-ply laminated plates with variable thickness plates. J Sound Vib 288 (2005) 33-42
    • (2005) J Sound Vib , vol.288 , pp. 33-42
    • Ashour, A.S.1
  • 10
    • 0022162922 scopus 로고
    • Large amplitude vibrations of rectangular plates with non-uniform elastic edge supports
    • Ramachandran J., and Bhaskar K. Large amplitude vibrations of rectangular plates with non-uniform elastic edge supports. J Sound Vib 103 (1985) 153-158
    • (1985) J Sound Vib , vol.103 , pp. 153-158
    • Ramachandran, J.1    Bhaskar, K.2
  • 11
    • 0020205646 scopus 로고
    • Nonlinear flexural vibrations of initially deflected cross-ply laminated plates with elastically restrained edges
    • Bhattacharya A.P., and Sivakumaran K.S. Nonlinear flexural vibrations of initially deflected cross-ply laminated plates with elastically restrained edges. Fiber Sci Tech 17 (1982) 157-168
    • (1982) Fiber Sci Tech , vol.17 , pp. 157-168
    • Bhattacharya, A.P.1    Sivakumaran, K.S.2
  • 12
    • 0027628050 scopus 로고
    • Non-linear vibrations of initially imperfect, orthotropic, moderately thick plates with edge restraints
    • Liu W.H., and Yeh F.H. Non-linear vibrations of initially imperfect, orthotropic, moderately thick plates with edge restraints. J Sound Vib 165 (1993) 101-122
    • (1993) J Sound Vib , vol.165 , pp. 101-122
    • Liu, W.H.1    Yeh, F.H.2
  • 13
    • 0043071386 scopus 로고
    • Application of the quadrature method to flexural vibration analysis of a geometrically nonlinear beam
    • Feng Y., and Bert C.W. Application of the quadrature method to flexural vibration analysis of a geometrically nonlinear beam. Nonlinear Dyn 3 (1991) 3-18
    • (1991) Nonlinear Dyn , vol.3 , pp. 3-18
    • Feng, Y.1    Bert, C.W.2
  • 14
    • 0346991434 scopus 로고    scopus 로고
    • Non-linear vibration analysis of beams by a spline-based differential quadrature method
    • Guo Q., and Zhong H. Non-linear vibration analysis of beams by a spline-based differential quadrature method. J Sound Vib 269 (2004) 413-420
    • (2004) J Sound Vib , vol.269 , pp. 413-420
    • Guo, Q.1    Zhong, H.2
  • 15
    • 0041344361 scopus 로고    scopus 로고
    • Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method
    • Zhong H., and Guo Q. Nonlinear vibration analysis of Timoshenko beams using the differential quadrature method. Nonlinear Dyn 32 (2003) 223-234
    • (2003) Nonlinear Dyn , vol.32 , pp. 223-234
    • Zhong, H.1    Guo, Q.2
  • 16
    • 0030127739 scopus 로고    scopus 로고
    • Differential quadrature method for Mindlin plates on Winkler foundations
    • Han K.M., Xiao J.B., and Du Z.M. Differential quadrature method for Mindlin plates on Winkler foundations. Int J Mech Sci 38 (1996) 405-421
    • (1996) Int J Mech Sci , vol.38 , pp. 405-421
    • Han, K.M.1    Xiao, J.B.2    Du, Z.M.3
  • 17
    • 0030192706 scopus 로고    scopus 로고
    • Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility
    • Liew K.M., Han J.B., and Xiao Z.M. Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility. Int J Solids Struct 33 (1996) 2647-2658
    • (1996) Int J Solids Struct , vol.33 , pp. 2647-2658
    • Liew, K.M.1    Han, J.B.2    Xiao, Z.M.3
  • 18
    • 0031077934 scopus 로고    scopus 로고
    • A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates
    • Liew K.M., and Han J.B. A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates. Commun Numer Methods Eng 13 (1997) 73-81
    • (1997) Commun Numer Methods Eng , vol.13 , pp. 73-81
    • Liew, K.M.1    Han, J.B.2
  • 19
    • 0031069030 scopus 로고    scopus 로고
    • An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates
    • Han J.B., and Liew K.M. An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates. Comput Meth Appl Mech Eng 141 (1997) 265-280
    • (1997) Comput Meth Appl Mech Eng , vol.141 , pp. 265-280
    • Han, J.B.1    Liew, K.M.2
  • 20
    • 0013116104 scopus 로고    scopus 로고
    • Moving least squares differential quadrature method and its application to the analysis of shear deformable plates
    • Liew K.M., Huang Y.Q., and Reddy J.N. Moving least squares differential quadrature method and its application to the analysis of shear deformable plates. Int J Numer Methods Eng 56 (2003) 2331-2351
    • (2003) Int J Numer Methods Eng , vol.56 , pp. 2331-2351
    • Liew, K.M.1    Huang, Y.Q.2    Reddy, J.N.3
  • 21
    • 0032496861 scopus 로고    scopus 로고
    • Modeling via differential quadrature method: Three-dimensional solutions for rectangular plates
    • Liew K.M., and Teo T.M. Modeling via differential quadrature method: Three-dimensional solutions for rectangular plates. Comput Meth Appl Mech Eng 159 (1998) 369-381
    • (1998) Comput Meth Appl Mech Eng , vol.159 , pp. 369-381
    • Liew, K.M.1    Teo, T.M.2
  • 22
    • 0002204554 scopus 로고    scopus 로고
    • Three-dimensional vibration analysis of rectangular plates based on differential quadrature method
    • Liew K.M., and Teo T.M. Three-dimensional vibration analysis of rectangular plates based on differential quadrature method. J Sound Vib 220 (1999) 577-599
    • (1999) J Sound Vib , vol.220 , pp. 577-599
    • Liew, K.M.1    Teo, T.M.2
  • 23
    • 0000972395 scopus 로고    scopus 로고
    • Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates
    • Liew K.M., Teo T.M., and Han J.B. Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates. Int J Numer Methods Eng 45 (1999) 1831-1848
    • (1999) Int J Numer Methods Eng , vol.45 , pp. 1831-1848
    • Liew, K.M.1    Teo, T.M.2    Han, J.B.3
  • 24
    • 12344330547 scopus 로고    scopus 로고
    • Differential quadrature method for nonlinear free vibration of orthotropic plates with finite deformation and transverse shear effect
    • Li J.J., and Cheng C.J. Differential quadrature method for nonlinear free vibration of orthotropic plates with finite deformation and transverse shear effect. J Sound Vib 281 (2005) 295-309
    • (2005) J Sound Vib , vol.281 , pp. 295-309
    • Li, J.J.1    Cheng, C.J.2
  • 25
    • 34247115577 scopus 로고    scopus 로고
    • A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates
    • Malekzadeh P. A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates. Thin-Walled Struct 45 (2007) 237-250
    • (2007) Thin-Walled Struct , vol.45 , pp. 237-250
    • Malekzadeh, P.1
  • 26
    • 36749026229 scopus 로고    scopus 로고
    • Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT
    • Malekzadeh P. Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT. Compos Struct 83 (2008) 189-200
    • (2008) Compos Struct , vol.83 , pp. 189-200
    • Malekzadeh, P.1
  • 27
    • 36148971641 scopus 로고    scopus 로고
    • Nonlinear free vibration of tapered Mindlin plates with edges elastically restrained against rotation using DQM
    • Malekzadeh P. Nonlinear free vibration of tapered Mindlin plates with edges elastically restrained against rotation using DQM. Thin-Walled Struct 46 (2008) 11-26
    • (2008) Thin-Walled Struct , vol.46 , pp. 11-26
    • Malekzadeh, P.1
  • 28
    • 0002148282 scopus 로고    scopus 로고
    • Generalized differential quadrature method for buckling analysis
    • Du H., Liew K.M., and Lim M.K. Generalized differential quadrature method for buckling analysis. J Eng Mech 122 (1996) 95-100
    • (1996) J Eng Mech , vol.122 , pp. 95-100
    • Du, H.1    Liew, K.M.2    Lim, M.K.3
  • 29
    • 0031167220 scopus 로고    scopus 로고
    • Differential cubature method: A solution technique for Kirchhoff plates of arbitrary shape
    • Liew K.M., and Liu F.L. Differential cubature method: A solution technique for Kirchhoff plates of arbitrary shape. Comput Meth Appl Mech Eng 14 (1997) 1-10
    • (1997) Comput Meth Appl Mech Eng , vol.14 , pp. 1-10
    • Liew, K.M.1    Liu, F.L.2
  • 30
    • 0037036339 scopus 로고    scopus 로고
    • A new differential quadrature methodology for beam analysis and the associated DQEM
    • Karami G., and Malekzadeh P. A new differential quadrature methodology for beam analysis and the associated DQEM. Comput Meth Appl Mech Eng 191 (2002) 3509-3526
    • (2002) Comput Meth Appl Mech Eng , vol.191 , pp. 3509-3526
    • Karami, G.1    Malekzadeh, P.2
  • 31
    • 0037436241 scopus 로고    scopus 로고
    • Application of a new differential quadrature methodology for free vibration analysis of plates
    • Karami G., and Malekzadeh P. Application of a new differential quadrature methodology for free vibration analysis of plates. Int J Numer Methods Eng 56 (2003) 847-867
    • (2003) Int J Numer Methods Eng , vol.56 , pp. 847-867
    • Karami, G.1    Malekzadeh, P.2
  • 32
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert C.W., and Malik M. Differential quadrature method in computational mechanics: A review. Appl Mech Rev 49 (1996) 1-27
    • (1996) Appl Mech Rev , vol.49 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 33
    • 0033117133 scopus 로고    scopus 로고
    • Nonlinear vibration of plates by hierarchical finite element and continuation methods
    • Ribeiro P., and Petyt M. Nonlinear vibration of plates by hierarchical finite element and continuation methods. Int J Mech Sci 41 (1999) 437-459
    • (1999) Int J Mech Sci , vol.41 , pp. 437-459
    • Ribeiro, P.1    Petyt, M.2
  • 34
    • 0016968933 scopus 로고
    • A finite element formulation for large amplitude flexural vibrations of thin rectangular plates
    • Venkateswara Rao G., Raju I.S., and Kanaka Raju K. A finite element formulation for large amplitude flexural vibrations of thin rectangular plates. Comput Struct 6 (1976) 163-167
    • (1976) Comput Struct , vol.6 , pp. 163-167
    • Venkateswara Rao, G.1    Raju, I.S.2    Kanaka Raju, K.3
  • 35
    • 3242705953 scopus 로고    scopus 로고
    • Large amplitude free flexural vibrations of laminated composite skew plates
    • Singha M.K., and Ganapathi M. Large amplitude free flexural vibrations of laminated composite skew plates. Int J Non-Linear Mech 39 (2004) 1709-1720
    • (2004) Int J Non-Linear Mech , vol.39 , pp. 1709-1720
    • Singha, M.K.1    Ganapathi, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.