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Volumn 21, Issue 2, 2005, Pages 61-71

New approaches in application of differential quadrature method to fourth-order differential equations

Author keywords

Coefficients; Differential quadrature method; Multiple boundary conditions; Weighting

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; NUMERICAL ANALYSIS;

EID: 13244267303     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.727     Document Type: Article
Times cited : (62)

References (22)
  • 2
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature in computational mechanics: A review
    • Bert CW, Malik M. Differential quadrature in computational mechanics: a review. Applied Mechanics Reviews 1996; 49:1-27.
    • (1996) Applied Mechanics Reviews , vol.49 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 4
    • 0347628898 scopus 로고    scopus 로고
    • Differential quadrature method and differential quadrature element method - Theory and practice
    • Ph.D. Dissertation, NUAA, China, (in Chinese)
    • Wang Y. Differential quadrature method and differential quadrature element method-theory and practice. Ph.D. Dissertation, NUAA, China, 2001 (in Chinese).
    • (2001)
    • Wang, Y.1
  • 5
    • 0024014784 scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • Bert CW, Jang SK, Striz AG. Two new approximate methods for analyzing free vibration of structural components. AIAA Journal 1988; 26 612-618.
    • (1988) AIAA Journal , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 8
    • 0027576566 scopus 로고
    • A new approach in applying differential quadrature to static and free vibrational analyses of beams and plates
    • Wang X, Bert CW. A new approach in applying differential quadrature to static and free vibrational analyses of beams and plates. Journal of Sound and Vibration 1993; 162:566-572.
    • (1993) Journal of Sound and Vibration , vol.162 , pp. 566-572
    • Wang, X.1    Bert, C.W.2
  • 9
    • 0030130118 scopus 로고    scopus 로고
    • Implementing multiple boundary conditions in the DQ solution of high-order PDE's: Application to free vibration of plates
    • Malik M, Bert CW. Implementing multiple boundary conditions in the DQ solution of high-order PDE's: application to free vibration of plates. International Journal for Numerical Methods in Engineering 1996; 39:1237-1258.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 1237-1258
    • Malik, M.1    Bert, C.W.2
  • 10
    • 0029695526 scopus 로고    scopus 로고
    • On buckling analysis of beams and frame structures by the differential quadrature element method
    • Wang X, Gu H, Liu B. On buckling analysis of beams and frame structures by the differential quadrature element method. Proceedings of Engineering Mechanics 1996; 1:382-385.
    • (1996) Proceedings of Engineering Mechanics , vol.1 , pp. 382-385
    • Wang, X.1    Gu, H.2    Liu, B.3
  • 11
    • 0031077441 scopus 로고    scopus 로고
    • Static analysis of frame structures by the differential quadrature element method
    • Wang X, Gu H. Static analysis of frame structures by the differential quadrature element method. International Journal for Numerical Methods in Engineering 1997; 40:759-772.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 759-772
    • Wang, X.1    Gu, H.2
  • 13
    • 0035921876 scopus 로고    scopus 로고
    • Vibration analysis of beams using the generalized differential quadrature rule and domain decomposition
    • Liu GR, Wu TY. Vibration analysis of beams using the generalized differential quadrature rule and domain decomposition. Journal of Sound and Vibration 2001; 246:461-481.
    • (2001) Journal of Sound and Vibration , vol.246 , pp. 461-481
    • Liu, G.R.1    Wu, T.Y.2
  • 14
    • 0035050702 scopus 로고    scopus 로고
    • The generalized differential quadrature rule for fourth-order differential equations
    • Wu TY, Liu GR. The generalized differential quadrature rule for fourth-order differential equations. International Journal for Numerical Methods in Engineering 2001; 50:1907-1929.
    • (2001) International Journal for Numerical Methods in Engineering , vol.50 , pp. 1907-1929
    • Wu, T.Y.1    Liu, G.R.2
  • 15
    • 0037036339 scopus 로고    scopus 로고
    • A new differential quadrature methodology for beam analysis and the associated differential quadrature element method
    • Karami G, Malekzadeh P. A new differential quadrature methodology for beam analysis and the associated differential quadrature element method. Computer Methods in Applied Mechanics and Engineering 2002; 191 3509-3526.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 3509-3526
    • Karami, G.1    Malekzadeh, P.2
  • 16
    • 0037244644 scopus 로고    scopus 로고
    • Buckling analyses of anisotropic plates and isotropic skew plates by the new version differential quadrature method
    • Wang X, Tan M, Zhou Y. Buckling analyses of anisotropic plates and isotropic skew plates by the new version differential quadrature method. Thin-Walled Structures 2003; 41:15-29.
    • (2003) Thin-Walled Structures , vol.41 , pp. 15-29
    • Wang, X.1    Tan, M.2    Zhou, Y.3
  • 17
    • 1542644014 scopus 로고    scopus 로고
    • Static and free vibration analyses of rectangular plates by the new version of differential quadrature element method
    • Wang Y, Wang X, Zhou Y. Static and free vibration analyses of rectangular plates by the new version of differential quadrature element method. International Journal for Numerical Methods in Engineering 2004; 59:1207-1226.
    • (2004) International Journal for Numerical Methods in Engineering , vol.59 , pp. 1207-1226
    • Wang, Y.1    Wang, X.2    Zhou, Y.3
  • 18
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C, Richards BE. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 1992; 15 791-798.
    • (1992) International Journal for Numerical Methods in Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 20
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • Leissa AW. The free vibration of rectangular plates. Journal of Sound and Vibration 1973; 31:257-293.
    • (1973) Journal of Sound and Vibration , vol.31 , pp. 257-293
    • Leissa, A.W.1
  • 21
    • 0024639713 scopus 로고
    • Free vibration of stepped beams: Exact and numerical solutions
    • Jang SK, Bert CW. Free vibration of stepped beams: exact and numerical solutions. Journal of Sound and Vibration 1989; 130:342-346.
    • (1989) Journal of Sound and Vibration , vol.130 , pp. 342-346
    • Jang, S.K.1    Bert, C.W.2
  • 22
    • 0032309605 scopus 로고    scopus 로고
    • Static and free vibrational analysis of rectangular plates by the differential quadrature element method
    • Wang X, Wang Y, Chen R. Static and free vibrational analysis of rectangular plates by the differential quadrature element method. Communications in Numerical Methods in Engineering 1998; 14 1133-1141.
    • (1998) Communications in Numerical Methods in Engineering , vol.14 , pp. 1133-1141
    • Wang, X.1    Wang, Y.2    Chen, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.