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Volumn 269, Issue 3-5, 2004, Pages 1133-1141

Application of a new differential quadrature element method to free vibrational analysis of beams and frame structures

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; DEGREES OF FREEDOM (MECHANICS); DYNAMIC LOADS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTERPOLATION; LAGRANGE MULTIPLIERS; NATURAL FREQUENCIES; ORDINARY DIFFERENTIAL EQUATIONS; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

EID: 0347131211     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00405-X     Document Type: Article
Times cited : (28)

References (28)
  • 2
    • 0024014784 scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • C.W. Bert, S.K. Jang, A.G. Striz, Two new approximate methods for analyzing free vibration of structural components, AIAA Journal 26 (1988) 612-618.
    • (1988) AIAA Journal , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 4
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature in computational mechanics: A review
    • C.W. Bert, M. Malik, Differential quadrature in computational mechanics: a review, Applied Mechanics Review 49 (1996) 1-27.
    • (1996) Applied Mechanics Review , vol.49 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 7
    • 0028457971 scopus 로고
    • Analysis of vibrating rectangular plates with non-uniform boundary conditions using the differential quadrature method
    • P.A.A. Laura, R.H. Gutierrez, Analysis of vibrating rectangular plates with non-uniform boundary conditions using the differential quadrature method, Journal of Sound and Vibration 173 (1994) 702-706.
    • (1994) Journal of Sound and Vibration , vol.173 , pp. 702-706
    • Laura, P.A.A.1    Gutierrez, R.H.2
  • 8
    • 0027576566 scopus 로고
    • Anew approach in applying differential quadrature to static and free vibrational analyses of beams and plates
    • X. Wang, C.W. Bert, Anew approach in applying differential quadrature to static and free vibrational analyses of beams and plates, Journal of Sound and Vibration 162 (3) (1993) 566-572.
    • (1993) Journal of Sound and Vibration , vol.162 , Issue.3 , pp. 566-572
    • Wang, X.1    Bert, C.W.2
  • 9
    • 0030130118 scopus 로고    scopus 로고
    • Implimentating multiple boundary conditions in the DQ solution of high-order PDE's: Application to free vibration of plates
    • M. Malik, C.W. Bert, Implimentating 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 39 (1996) 1237-1258.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 1237-1258
    • Malik, M.1    Bert, C.W.2
  • 10
    • 0033704742 scopus 로고    scopus 로고
    • The generalized differential quadrature rule for initial value differential equations
    • T.Y. Wu, G.R. Liu, The generalized differential quadrature rule for initial value differential equations, Journal of Sound and Vibration 233 (2) (2000) 195-213.
    • (2000) Journal of Sound and Vibration , vol.233 , Issue.2 , pp. 195-213
    • Wu, T.Y.1    Liu, G.R.2
  • 12
    • 0029695526 scopus 로고    scopus 로고
    • On buckling analysis of beams and frame structures by the differential quadrature element method
    • X. Wang, H. Gu, B. Liu, On buckling analysis of beams and frame structures by the differential quadrature element method, Proceedings of Engineering Mechanics 1 (1996) 382-385.
    • (1996) Proceedings of Engineering Mechanics , vol.1 , pp. 382-385
    • Wang, X.1    Gu, H.2    Liu, B.3
  • 14
    • 0031145244 scopus 로고    scopus 로고
    • Free vibration of plates by the high accuracy quadrature element method
    • A.G. Striz, W.L. Chen, C.W. Bert, Free vibration of plates by the high accuracy quadrature element method, Journal of Sound and Vibration 202 (1997) 689-702.
    • (1997) Journal of Sound and Vibration , vol.202 , pp. 689-702
    • Striz, A.G.1    Chen, W.L.2    Bert, C.W.3
  • 16
    • 0005336319 scopus 로고    scopus 로고
    • The differential quadrature element method (DQEM) for axisymmetric bending of thick circular plates
    • J.B. Han, K.M. Liew, The differential quadrature element method (DQEM) for axisymmetric bending of thick circular plates, Proceedings of International Conference on Computational Mechanics, vol. 3, 1996, pp. 2363-2368.
    • (1996) Proceedings of International Conference on Computational Mechanics , vol.3 , pp. 2363-2368
    • Han, J.B.1    Liew, K.M.2
  • 17
    • 0031077441 scopus 로고    scopus 로고
    • Static analysis of frame structures by the differential quadrature element method
    • X. Wang, H. Gu, Static analysis of frame structures by the differential quadrature element method, International Journal for Numerical Methods in Engineering 40 (1997) 759-772.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 759-772
    • Wang, X.1    Gu, H.2
  • 18
    • 0000878129 scopus 로고    scopus 로고
    • On the free vibration analysis of circular plates with stepped thickness over a concentric region by the differential quadrature element method
    • H. Gu, X. Wang, On the free vibration analysis of circular plates with stepped thickness over a concentric region by the differential quadrature element method, Journal of Sound and Vibration 202 (1997) 452-459.
    • (1997) Journal of Sound and Vibration , vol.202 , pp. 452-459
    • Gu, H.1    Wang, X.2
  • 19
    • 0032309605 scopus 로고    scopus 로고
    • Static and free vibrational analysis of rectangular plates by the differential quadrature element method
    • X. Wang, Y. Wang, R. Chen, Static and free vibrational analysis of rectangular plates by the differential quadrature element method, Communications in Numerical Method in Engineering 14 (1998) 1133-1141.
    • (1998) Communications in Numerical Method in Engineering , vol.14 , pp. 1133-1141
    • Wang, X.1    Wang, Y.2    Chen, R.3
  • 20
    • 0032156233 scopus 로고    scopus 로고
    • Static analysis of Reissner-Mindlin plates by differential quadrature element method
    • American Society of Mechanical Engineers
    • F.L. Liu, K.M. Liew, Static analysis of Reissner-Mindlin plates by differential quadrature element method, American Society of Mechanical Engineers, Journal of Applied Mechanics 65 (3) (1998) 705-710.
    • (1998) Journal of Applied Mechanics , vol.65 , Issue.3 , pp. 705-710
    • Liu, F.L.1    Liew, K.M.2
  • 21
    • 0035050702 scopus 로고    scopus 로고
    • The generalized differential quadrature rule for fourth-order differential equations
    • T.Y. Wu, G.R. Liu, The generalized differential quadrature rule for fourth-order differential equations, International Journal for Numerical Methods in Engineering 50 (2001) 1907-1929.
    • (2001) International Journal for Numerical Methods in Engineering , vol.50 , pp. 1907-1929
    • Wu, T.Y.1    Liu, G.R.2
  • 22
    • 0033317747 scopus 로고    scopus 로고
    • The differential quadrature as a numerical method to solve the differential equation
    • T.Y. Wu, G.R. Liu, The differential quadrature as a numerical method to solve the differential equation, Computational Mechanics 24 (1999) 197-205.
    • (1999) Computational Mechanics , vol.24 , pp. 197-205
    • Wu, T.Y.1    Liu, G.R.2
  • 23
    • 0034314409 scopus 로고    scopus 로고
    • Application of the generalized differential quadrature rule to sixth-order differential equations
    • T.Y. Wu, G.R. Liu, Application of the generalized differential quadrature rule to sixth-order differential equations, Communications in Numerical Methods in Engineering 16 (11) (2000) 777-784.
    • (2000) Communications in Numerical Methods in Engineering , vol.16 , Issue.11 , pp. 777-784
    • Wu, T.Y.1    Liu, G.R.2
  • 24
    • 0024705632 scopus 로고
    • New insights in solving distributed system equations by the quadrature method - I: Analysis
    • J.R. Quan, C.T. Chang, New insights in solving distributed system equations by the quadrature method - I: analysis, Computer and Chemical Engineering 13 (1989) 779-788.
    • (1989) Computer and Chemical Engineering , vol.13 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 25
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • C. Shu, B.E. Richards, Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids 15 (1992) 791-798.
    • (1992) International Journal for Numerical Methods in Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 26
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • A.W. Leissa, The free vibration of rectangular plates, Journal of Sound and Vibration 31 (1973) 257-293.
    • (1973) Journal of Sound and Vibration , vol.31 , pp. 257-293
    • Leissa, A.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.