메뉴 건너뛰기




Volumn 2, Issue 4, 2001, Pages 463-476

A Meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates

Author keywords

Free Vibration; Kirchhoff plates; Meshless Local Petrov Galerkin (MLPG) method; Meshless Method; Numerical Analysis

Indexed keywords


EID: 0012255432     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (123)

References (32)
  • 2
    • 0033353654 scopus 로고    scopus 로고
    • Analysis of thin beams, using the meshless local Petrov-Galerkin (MLPG) method, with generalized moving least squares interpolation
    • Atluri SN, Cho JY, Kim HG(1999a) Analysis of thin beams, using the meshless local Petrov-Galerkin (MLPG) method, with generalized moving least squares interpolation. Computational Mechanics 24: 334-347
    • (1999) Computational Mechanics , vol.24 , pp. 334-347
    • Atluri, S.N.1    Cho, J.Y.2    Kim, H.G.3
  • 3
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
    • Atluri SN, Kim HG, Cho JY (1999b) A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods. Computational Mechanics 24:348-372
    • (1999) Computational Mechanics , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 4
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T (1998) A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 22:117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 5
    • 0033908369 scopus 로고    scopus 로고
    • New concepts in meshless methods
    • Atluri SN, Zhu T (2000a) New concepts in meshless methods. Int. J. Numer. Methods Engrg. 47 (2000) 537-556.
    • (2000) Int. J. Numer. Methods Engrg. , vol.47 , Issue.2000 , pp. 537-556
    • Atluri, S.N.1    Zhu, T.2
  • 6
    • 0033872785 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elsto-statics
    • Atluri SN, Zhu T (2000b) The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elsto-statics. Computational Mechanics 225:169-179
    • (2000) Computational Mechanics , vol.225 , pp. 169-179
    • Atluri, S.N.1    Zhu, T.2
  • 8
    • 0029507340 scopus 로고
    • Coupled finite element-element-free Galerkin method
    • Belytschko T, Organ D (1995) Coupled finite element-element-free Galerkin method. Computational Mechanics 17:186-195
    • (1995) Computational Mechanics , vol.17 , pp. 186-195
    • Belytschko, T.1    Organ, D.2
  • 9
    • 0001848443 scopus 로고    scopus 로고
    • Determination of crack tip fields in linear elastostatics by meshless local Petrov-Galerkin (MLPG) method
    • Ching H. C., Batra R. C. (2001) Determination of crack tip fields in linear elastostatics by meshless local Petrov-Galerkin (MLPG) method. CMES: Computer Modeling in Engineering & Sciences, Vol. 2., No. 2.
    • (2001) CMES: Computer Modeling in Engineering & Sciences , vol.2 , Issue.2
    • Ching, H.C.1    Batra, R.C.2
  • 10
    • 0035946964 scopus 로고    scopus 로고
    • A coupled element free Galerkin/ boundary element method for stress analysis of two-dimensional solids
    • Gu YT, Liu GR (2001a) A coupled element free Galerkin/ boundary element method for stress analysis of two-dimensional solids. Comput. Methods Appl. Mech. Engrg. 190, 4405-4419
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 4405-4419
    • Gu, Y.T.1    Liu, G.R.2
  • 11
    • 0035271335 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
    • Gu YT, Liu GR (2001b) A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Comp. Mech. 27, 188-198
    • (2001) Comp. Mech. , vol.27 , pp. 188-198
    • Gu, Y.T.1    Liu, G.R.2
  • 12
    • 0040518647 scopus 로고    scopus 로고
    • Arbitrary placement of secondary nodes and error control in the meshless local Galerkin (MLPG) method
    • Kim HG, Atluri SN (2000) Arbitrary placement of secondary nodes and error control in the meshless local Galerkin (MLPG) method. CMES: Computer Modeling in Engineering & Sciences, Vol. 1., No. 3.: 11-32
    • (2000) CMES: Computer Modeling in Engineering & Sciences , vol.1 , Issue.3 , pp. 11-32
    • Kim, H.G.1    Atluri, S.N.2
  • 13
    • 0029484915 scopus 로고
    • Analysis of thin plates by the element-free Galerkin method
    • Krysl P, Belytschko T (1995) Analysis of thin plates by the element-free Galerkin method, Comp. Mech. 17: 26-35
    • (1995) Comp. Mech. , vol.17 , pp. 26-35
    • Krysl, P.1    Belytschko, T.2
  • 14
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods.Math. Comput. 37, 141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 15
    • 0005843312 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method for conection-difusion problems
    • Lin H, Atluri S. N. (2000) Meshless Local Petrov-Galerkin (MLPG) method for conection-difusion problems. CMES: Computer Modeling in Engineering & Sciences, Vol. 1., No. 2.: 45-60
    • (2000) CMES: Computer Modeling in Engineering & Sciences , vol.1 , Issue.2 , pp. 45-60
    • Lin, H.1    Atluri, S.N.2
  • 16
    • 0037906184 scopus 로고    scopus 로고
    • The meshless local Peketrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations
    • Lin H, Atluri S. N. (2001) The Meshless Local Peketrov-Galerkin (MLPG) Method for solving Incompressible Navier-Stokes Equations. CMES: Computer Modeling in Engineering & Sciences, Vol. 2., No. 2.: 117-142
    • (2001) CMES: Computer Modeling in Engineering & Sciences , vol.2 , Issue.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 17
    • 0000855055 scopus 로고    scopus 로고
    • A point assembly method for stress analysis for solid
    • Shim VPW(ed) Oxford
    • Liu G. R. (1999) A Point Assembly Method for Stress Analysis for Solid. In: Shim VPW(ed) Impact Response of Materials & Structures. Oxford, 475-480
    • (1999) Impact Response of Materials & Structures , pp. 475-480
    • Liu, G.R.1
  • 18
    • 0035848845 scopus 로고    scopus 로고
    • A mesh-free Galerkin method for static and free vibration analyses of thin plates of complicated shape
    • Liu G. R., Chen X. L. (2001) A mesh-free Galerkin method for static and free vibration analyses of thin plates of complicated shape. Journal of Sound and Vibration. 241 (5), 839-855
    • (2001) Journal of Sound and Vibration. , vol.241 , Issue.5 , pp. 839-855
    • Liu, G.R.1    Chen, X.L.2
  • 19
    • 0034247445 scopus 로고    scopus 로고
    • Coupling element free galerkin and hybrid boundary element methods using modified variational formulation
    • Liu GR, Gu YT (2000a) Coupling Element Free Galerkin and Hybrid Boundary Element methods using modified variational formulation. Computational Mechanics 26 (2): 166-173
    • (2000) Computational Mechanics , vol.26 , Issue.2 , pp. 166-173
    • Liu, G.R.1    Gu, Y.T.2
  • 20
    • 0034483501 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
    • Liu G. R., Gu Y. T. (2000b) Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches, Computational Mechanics 26 (6): 536-546
    • (2000) Computational Mechanics , vol.26 , Issue.6 , pp. 536-546
    • Liu, G.R.1    Gu, Y.T.2
  • 22
    • 0035251898 scopus 로고    scopus 로고
    • A local point interpolation method for stress analysis of two-dimensional solids
    • Liu G. R., Gu Y. T. (2001b) A Local Point Interpolation Method for stress analysis of two-dimensional solids. Structural Engineering and Mechanics 11 (2): 221-236
    • (2001) Structural Engineering and Mechanics , vol.11 , Issue.2 , pp. 221-236
    • Liu, G.R.1    Gu, Y.T.2
  • 24
  • 26
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10: 307-318.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 27
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics. Applications to connective transport and fluid flow
    • Oñate, Idelsohn E. S., Zienkiewicz O. C., Tylor R. L. (1996) A Finite Point method in computational mechanics. Applications to connective transport and fluid flow. Int. J. Numer. Methods Engrg. 39 (22), 3839-3867.
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , Issue.22 , pp. 3839-3867
    • Oñate, I.E.S.1    Zienkiewicz, O.C.2    Tylor, R.L.3
  • 31
    • 0009563392 scopus 로고    scopus 로고
    • A meshless method for the numerical solution of the 2 and 3-D semiconductor Poisson equation
    • Wordelman C. J., Aluru N. R., Ravaioli U. (2000) A meshless method for the numerical solution of the 2 and 3-D semiconductor Poisson equation. CMES: Computer Modeling in Engineering & Sciences, Vol. 1., No. 1.: 121-126
    • (2000) CMES: Computer Modeling in Engineering & Sciences , vol.1 , Issue.1 , pp. 121-126
    • Wordelman, C.J.1    Aluru, N.R.2    Ravaioli, U.3
  • 32
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
    • Zhu T, Zhang JD, Atluri SN (1998) A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Computational Mechanics 21:223-235
    • (1998) Computational Mechanics , vol.21 , pp. 223-235
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.