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Volumn 193, Issue 3-5, 2004, Pages 205-224

Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates

Author keywords

Buckling; Mesh free method; Non uniform load; Radial basis function; Shear deformable plate

Indexed keywords

BUCKLING; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FORMABILITY; SHEAR STRESS;

EID: 0347300455     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.10.002     Document Type: Article
Times cited : (100)

References (22)
  • 1
    • 84968515237 scopus 로고
    • Scattered data interpolation: Test of some methods
    • Franke R. Scattered data interpolation: test of some methods Math. Comput. 38 157 1982 181-200
    • (1982) Math. Comput. , vol.38 , Issue.157 , pp. 181-200
    • Franke, R.1
  • 2
    • 0000764217 scopus 로고    scopus 로고
    • Error estimates for interpolation by compactly supported radial basis functions of minimal degree
    • Wendland H. Error estimates for interpolation by compactly supported radial basis functions of minimal degree J. Approx. Theory 93 1998 258-272
    • (1998) J. Approx. Theory , vol.93 , pp. 258-272
    • Wendland, H.1
  • 3
    • 0025229330 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics - I. Surface approximations and partial derivative estimates
    • Kansa E.J. Multiquadrics--A scattered data approximation scheme with applications to computational fluid dynamics--I. Surface approximations and partial derivative estimates Comput. Math. Appl. 19 8/9 1990 127-145
    • (1990) Comput. Math. Appl. , vol.19 , Issue.8-9 , pp. 127-145
    • Kansa, E.J.1
  • 4
    • 0001018295 scopus 로고
    • Multiquadric equations of topography and other irregular surfaces
    • Hardy R.L. Multiquadric equations of topography and other irregular surfaces Geophys. Res. 176 1971 1905-1915
    • (1971) Geophys. Res. , vol.176 , pp. 1905-1915
    • Hardy, R.L.1
  • 5
    • 0030129180 scopus 로고    scopus 로고
    • On the use of radial basis functions in the solution of elliptic boundary value problems
    • Coleman C.J. On the use of radial basis functions in the solution of elliptic boundary value problems Comput. Mech. 17 6 1996 418-422
    • (1996) Comput. Mech. , vol.17 , Issue.6 , pp. 418-422
    • Coleman, C.J.1
  • 6
    • 0000246322 scopus 로고    scopus 로고
    • Application of the multiquadric method for numerical solution of elliptic partial differential equations
    • Sharan M. Kansa E.J. Gupta S. Application of the multiquadric method for numerical solution of elliptic partial differential equations Appl. Math. Comput. 84 1997 275-302
    • (1997) Appl. Math. Comput. , vol.84 , pp. 275-302
    • Sharan, M.1    Kansa, E.J.2    Gupta, S.3
  • 7
    • 0034294250 scopus 로고    scopus 로고
    • Meshless methods based on collocation with radial basis functions
    • Zhang X. Song K.Z. Lu M.W. Liu X. Meshless methods based on collocation with radial basis functions Comput. Mech. 26 4 2000 333-343
    • (2000) Comput. Mech. , vol.26 , Issue.4 , pp. 333-343
    • Zhang, X.1    Song, K.Z.2    Lu, M.W.3    Liu, X.4
  • 8
    • 0035311996 scopus 로고    scopus 로고
    • On unsymmetric collocation by radial basis functions
    • Hon Y.C. Mao X.Z. On unsymmetric collocation by radial basis functions Appl. Math. Comput. 199 2-3 2001 177-186
    • (2001) Appl. Math. Comput. , vol.199 , Issue.2-3 , pp. 177-186
    • Hon, Y.C.1    Mao, X.Z.2
  • 9
    • 0043029995 scopus 로고    scopus 로고
    • Thick composite beam analysis using a global meshless approximation based on radial basis functions
    • Ferreira A.J.M. Thick composite beam analysis using a global meshless approximation based on radial basis functions Mech. Adv. Mater. Struct. 10 2003 271-284
    • (2003) Mech. Adv. Mater. Struct. , vol.10 , pp. 271-284
    • Ferreira, A.J.M.1
  • 10
    • 0036488118 scopus 로고    scopus 로고
    • A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates
    • Ferreira A.J.M. A formulation of the multiquadric radial basis function method for the analysis of laminated composite plates Comp. Struct. 59 2003 385-392
    • (2003) Comp. Struct. , vol.59 , pp. 385-392
    • Ferreira, A.J.M.1
  • 11
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2-D meshless methods
    • Wang J.G. Liu G.R. On the optimal shape parameters of radial basis functions used for 2-D meshless methods Comput. Methods Appl. Mech. Engrg. 191 2002 2611-2630
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 2611-2630
    • Wang, J.G.1    Liu, G.R.2
  • 12
    • 0022131694 scopus 로고
    • Vibration and stability of circular plates under partially distributed or concentrated inplane loads
    • Narita Y. Vibration and stability of circular plates under partially distributed or concentrated inplane loads Trans. ASME J. Appl. Mech. 52 1985 549-552
    • (1985) Trans. ASME J. Appl. Mech. , vol.52 , pp. 549-552
    • Narita, Y.1
  • 13
    • 0346269239 scopus 로고
    • Free vibration and tension buckling of circular plates with diametral point forces
    • Ayoub E.F. Leissa A.W. Free vibration and tension buckling of circular plates with diametral point forces Trans. ASME J. Appl. Mech. 57 1990 995-999
    • (1990) Trans. ASME J. Appl. Mech. , vol.57 , pp. 995-999
    • Ayoub, E.F.1    Leissa, A.W.2
  • 14
    • 0033116371 scopus 로고    scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • Golberg M.A. Chen C.S. Bowman H. Some recent results and proposals for the use of radial basis functions in the BEM Engrg. Anal. Bound. Elem. 23 1999 285-296
    • (1999) Engrg. Anal. Bound. Elem. , vol.23 , pp. 285-296
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 15
    • 0030269276 scopus 로고    scopus 로고
    • Analytical buckling solutions for Mindlin plates involving free edges
    • Liew K.M. Xiang Y. Kitipornchai S. Analytical buckling solutions for Mindlin plates involving free edges Int. J. Mech. Sci. 38 10 1996 1127-1138
    • (1996) Int. J. Mech. Sci. , vol.38 , Issue.10 , pp. 1127-1138
    • Liew, K.M.1    Xiang, Y.2    Kitipornchai, S.3
  • 18
    • 0021857259 scopus 로고
    • Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory
    • Reddy J.N. Phan N.D. Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory J. Sound Vibr. 98 2 1985 157-170
    • (1985) J. Sound Vibr. , vol.98 , Issue.2 , pp. 157-170
    • Reddy, J.N.1    Phan, N.D.2
  • 20
  • 21
    • 0037262952 scopus 로고    scopus 로고
    • Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method
    • Liew K.M. Huang Y.Q. Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method Int. J. Mech. Sci. 45 1 2003 95-114
    • (2003) Int. J. Mech. Sci. , vol.45 , Issue.1 , pp. 95-114
    • Liew, K.M.1    Huang, Y.Q.2
  • 22
    • 0348160038 scopus 로고    scopus 로고
    • Mesh-free method revisited: Two new approaches for the treatment of essential boundary conditions
    • Ren J. Liew K.M. Mesh-free method revisited: Two new approaches for the treatment of essential boundary conditions Int. J. Comput. Eng. Sci. 3 2 2002 219-233
    • (2002) Int. J. Comput. Eng. Sci. , vol.3 , Issue.2 , pp. 219-233
    • Ren, J.1    Liew, K.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.