메뉴 건너뛰기




Volumn 179, Issue 3-4, 1999, Pages 407-423

Differential quadrature element method: A new approach for free vibration analysis of polar Mindlin plates having discontinuities

Author keywords

Cracked plate; Differential quadrature element method; Differential quadrature method; Discontinuous plate; Free vibration analysis; Mixed boundary conditions; Numerical method; Polar plates; Shear deformable plates; Structural analysis

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; PROBLEM SOLVING; SHEAR DEFORMATION; STRUCTURAL ANALYSIS;

EID: 0033329003     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00049-3     Document Type: Article
Times cited : (69)

References (28)
  • 1
    • 0001581047 scopus 로고
    • Differential quadrature and long term integration
    • Bellman R.E., Casti J. Differential quadrature and long term integration. J. Math. Anal. Appl. 34:1971;235-238.
    • (1971) J. Math. Anal. Appl. , vol.34 , pp. 235-238
    • Bellman, R.E.1    Casti, J.2
  • 2
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of non-linear partial differential equations
    • Bellman R.E., Kashef B.G., Casti J. Differential quadrature: a technique for the rapid solution of non-linear partial differential equations. J. Comput. Phys. 10:1972;40-52.
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.E.1    Kashef, B.G.2    Casti, J.3
  • 3
    • 0021466557 scopus 로고
    • Differential quadrature for multidimensional problems
    • Civan F., Sliepcevich C.M. Differential quadrature for multidimensional problems. J. Math. Anal. Appl. 101:1984;423-443.
    • (1984) J. Math. Anal. Appl. , vol.101 , pp. 423-443
    • Civan, F.1    Sliepcevich, C.M.2
  • 4
    • 0024705632 scopus 로고
    • New insights in solving distributed system equations by the quadrature method - I. Analysis
    • Quan J.R., Chang C.T. New insights in solving distributed system equations by the quadrature method - I. Analysis. Comput. Chem. Eng. 13:1989;779-788.
    • (1989) Comput. Chem. Eng. , vol.13 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 5
    • 0024738766 scopus 로고
    • New insights in solving distributed system equations by the quadrature method - II. Numerical experiments
    • Quan J.R., Chang C.T. New insights in solving distributed system equations by the quadrature method - II. Numerical experiments. Comput. Chem. Eng. 13:1989;1017-1024.
    • (1989) Comput. Chem. Eng. , vol.13 , pp. 1017-1024
    • Quan, J.R.1    Chang, C.T.2
  • 6
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Int. J. Numer. Methods Fluids. 15:1992;791-798.
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 7
    • 0024014784 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 J. 26:1988;612-618.
    • (1988) AIAA J. , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 8
    • 0000150756 scopus 로고
    • Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature
    • Bert C.W., Jang S.K., Striz A.G. Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Comput. Mech. 5:1989;217-226.
    • (1989) Comput. Mech. , vol.5 , pp. 217-226
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 9
    • 0023833710 scopus 로고
    • Non-linear bending analysis of thin circular plates by differential quadrature
    • Striz A.G., Jang S.K., Bert C.W. Non-linear bending analysis of thin circular plates by differential quadrature. Thin-Walled Struct. 69:1988;51-62.
    • (1988) Thin-Walled Struct. , vol.69 , pp. 51-62
    • Striz, A.G.1    Jang, S.K.2    Bert, C.W.3
  • 10
    • 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. Appl. Mech. Rev. 49:1996;1-28.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 11
    • 0030174773 scopus 로고    scopus 로고
    • The differential quadrature method for irregular domains and application to plate vibration
    • Bert C.W., Malik M. The differential quadrature method for irregular domains and application to plate vibration. Int. J. Mech. Sci. 38:1996;589-606.
    • (1996) Int. J. Mech. Sci. , vol.38 , pp. 589-606
    • Bert, C.W.1    Malik, M.2
  • 12
    • 0029732360 scopus 로고    scopus 로고
    • Semianalytical differential quadrature solution for free vibration analysis of rectangular plates
    • Bert C.W., Malik M. Semianalytical differential quadrature solution for free vibration analysis of rectangular plates. AIAA J. 34:1996;601-606.
    • (1996) AIAA J. , vol.34 , pp. 601-606
    • Bert, C.W.1    Malik, M.2
  • 13
    • 0026108762 scopus 로고
    • Buckling of anisotropic composite plates under stress gradient
    • Pandya M.D., Sherbourne A.N. Buckling of anisotropic composite plates under stress gradient. ASCE J. Eng. Mech. 117:1991;260-275.
    • (1991) ASCE J. Eng. Mech. , vol.117 , pp. 260-275
    • Pandya, M.D.1    Sherbourne, A.N.2
  • 14
    • 84958730751 scopus 로고
    • Differential quadrature analysis of free vibration of symmetric cross-ply laminates with shear deformation and rotatory inertia
    • Bert C.W., Malik M. Differential quadrature analysis of free vibration of symmetric cross-ply laminates with shear deformation and rotatory inertia. Shock and Vibr. 2:1995;321-338.
    • (1995) Shock and Vibr. , vol.2 , pp. 321-338
    • Bert, C.W.1    Malik, M.2
  • 15
    • 0030127739 scopus 로고    scopus 로고
    • Differential quadrature method for Mindlin plates on Winkler foundations
    • Liew K.M., Han J.-B., Xiao Z.M., Du H. 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
    • Liew, K.M.1    Han, J.-B.2    Xiao, Z.M.3    Du, H.4
  • 16
    • 0028519099 scopus 로고
    • Static analysis of structures by the quadrature element method (QEM)
    • Striz A.G., Chen W., Bert C.W. Static analysis of structures by the quadrature element method (QEM). Int. J. Solids Struct. 31:1994;2807-2818.
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 2807-2818
    • Striz, A.G.1    Chen, W.2    Bert, C.W.3
  • 17
    • 0031145244 scopus 로고    scopus 로고
    • Free vibration of high-accuracy plate elements by the quadrature element method
    • Chen W., Striz A.G., Bert C.W. Free vibration of high-accuracy plate elements by the quadrature element method. J. Sound Vibr. 202:1997;689-702.
    • (1997) J. Sound Vibr. , vol.202 , pp. 689-702
    • Chen, W.1    Striz, A.G.2    Bert, C.W.3
  • 18
    • 0031170378 scopus 로고    scopus 로고
    • A new approach to the differential quadrature method for fourth-order equations
    • Chen W., Striz A.G., Bert C.W. A new approach to the differential quadrature method for fourth-order equations. Int. J. Numer. Methods Eng. 40:1997;1941-1956.
    • (1997) Int. J. Numer. Methods Eng. , vol.40 , pp. 1941-1956
    • Chen, W.1    Striz, A.G.2    Bert, C.W.3
  • 19
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motion of isotropic elastic plates
    • Mindlin R.D. Influence of rotatory inertia and shear on flexural motion of isotropic elastic plates. Trans. ASME, J. Appl. Mech. 18:1951;31-38.
    • (1951) Trans. ASME, J. Appl. Mech. , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 20
    • 0000962867 scopus 로고
    • Thickness-shear and flexural vibrations of a circular disk
    • Mindlin R.D., Deresiewicz H. Thickness-shear and flexural vibrations of a circular disk. J. Appl. Phys. 25:1954;1329-1332.
    • (1954) J. Appl. Phys. , vol.25 , pp. 1329-1332
    • Mindlin, R.D.1    Deresiewicz, H.2
  • 21
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • Reissner E. The effect of transverse shear deformation on the bending of elastic plates. Trans. ASME, J. Appl. Mech. 12:1945;69-77.
    • (1945) Trans. ASME, J. Appl. Mech. , vol.12 , pp. 69-77
    • Reissner, E.1
  • 22
    • 0005336319 scopus 로고    scopus 로고
    • The differential quadrature element method (DQEM) for axisymmetric bending of thick circular plates
    • Han J.-B., Liew K.M. The differential quadrature element method (DQEM) for axisymmetric bending of thick circular plates. Proc. of The Third Asian-Pacific Conf. on Comput. Mechanics. 1996;2363-2368.
    • (1996) Proc. of the Third Asian-Pacific Conf. on Comput. Mechanics , pp. 2363-2368
    • Han, J.-B.1    Liew, K.M.2
  • 23
    • 0032156233 scopus 로고    scopus 로고
    • Static analysis of Reissner-Mindlin plates by differential quadrature element method
    • Liu F.-L., Liew K.M. Static analysis of Reissner-Mindlin plates by differential quadrature element method. Trans. ASME, J. Appl. Mech. 65:1998;705-710.
    • (1998) Trans. ASME, J. Appl. Mech. , vol.65 , pp. 705-710
    • Liu, F.-L.1    Liew, K.M.2
  • 24
    • 0032633986 scopus 로고    scopus 로고
    • Vibration analysis of discontinuous Mindlin plates by differential quadrature element method
    • in press
    • F.-L. Liu, K.M. Liew, Vibration analysis of discontinuous Mindlin plates by differential quadrature element method, Trans. ASME, J. Vibr. and Acoust. 121 (1999) in press.
    • (1999) Trans. ASME, J. Vibr. and Acoust. , vol.121
    • Liu, F.-L.1    Liew, K.M.2
  • 25
    • 0034466097 scopus 로고    scopus 로고
    • Rectangular thick plates on Winkler foundation: Differential quadrature element solutions
    • in press
    • F.-L. Liu, Rectangular thick plates on Winkler foundation: Differential quadrature element solutions, Int. J. Solids Struct., in press.
    • Int. J. Solids Struct.
    • Liu, F.-L.1
  • 27
    • 0028530075 scopus 로고
    • Natural frequencies of circular and annular plates with radial or circumferential cracks
    • Yuan T., Young P.G., Dickinson S.M. Natural frequencies of circular and annular plates with radial or circumferential cracks. Compt. Struct. 53:1994;327-334.
    • (1994) Compt. Struct. , vol.53 , pp. 327-334
    • Yuan, T.1    Young, P.G.2    Dickinson, S.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.