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Volumn 56, Issue 15, 2003, Pages 2331-2351

Moving least squares differential quadrature method and its application to the analysis of shear deformable plates

Author keywords

Differential quadrature method; First order shear deformation theory; Moving least squares differential quadrature method; Shear deformable plates

Indexed keywords

COMPUTATIONAL METHODS; LEAST SQUARES APPROXIMATIONS; SHEAR DEFORMATION; STABILITY;

EID: 0013116104     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.646     Document Type: Article
Times cited : (92)

References (35)
  • 1
    • 85103554891 scopus 로고
    • The effect of transverse shear deformation on the bending of elastic plates
    • ASME
    • Reissner E. The effect of transverse shear deformation on the bending of elastic plates. Journal of Applied Mechanics (ASME) 1945; 12:69-77.
    • (1945) Journal of Applied Mechanics , vol.12 , pp. 69-77
    • Reissner, E.1
  • 2
    • 0000849966 scopus 로고
    • On the correction for shear of differential equation for transverse vibrations of prismatic bars
    • Timoshenko SP. On the correction for shear of differential equation for transverse vibrations of prismatic bars. Philosophical Magazine 1921; 41:744-746.
    • (1921) Philosophical Magazine , vol.41 , pp. 744-746
    • Timoshenko, S.P.1
  • 3
    • 0004969757 scopus 로고
    • Uber die Berucksichtigung der Schubverzerrung in ebenen Platten
    • Hencky H. Uber die Berucksichtigung der Schubverzerrung in ebenen Platten. Ingenieur Archiv 1947; 16: 72-76.
    • (1947) Ingenieur Archiv , vol.16 , pp. 72-76
    • Hencky, H.1
  • 5
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear on flexural motion of isotropic, elastic plates
    • ASME
    • Mindlin RD. Influence of rotary inertia and shear on flexural motion of isotropic, elastic plates. Journal of Applied Mechanics (ASME) 1951; 18:31-38.
    • (1951) Journal of Applied Mechanics , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 10
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • ASME
    • Bert CW, Malik M. Differential quadrature method in computational mechanics: a review. Applied Mechanics Reviews (ASME) 1996; 49:1-27.
    • (1996) Applied Mechanics Reviews , vol.49 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 12
    • 0033157742 scopus 로고    scopus 로고
    • Static analysis of Mindlin plates, the differential quadrature element method (DQEM)
    • Han JB, Liew KM. Static analysis of Mindlin plates, the differential quadrature element method (DQEM). Computer Methods in Applied Mechanics and Engineering 1999; 177:51-75.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.177 , pp. 51-75
    • Han, J.B.1    Liew, K.M.2
  • 13
    • 0032156233 scopus 로고    scopus 로고
    • Static analysis of Reissner-Mindlin plates by differential quadrature element method
    • ASME
    • Liu FL, Liew KM. Static analysis of Reissner-Mindlin plates by differential quadrature element method. Journal of Applied Mechanics (ASME) 1998; 65:705-710.
    • (1998) Journal of Applied Mechanics , vol.65 , pp. 705-710
    • Liu, F.L.1    Liew, K.M.2
  • 14
    • 0033329003 scopus 로고    scopus 로고
    • Differential quadrature element method: A new approach for free vibration analysis of polar Mindlin plates having discontinuities
    • Liu FL, Liew KM. Differential quadrature element method: a new approach for free vibration analysis of polar Mindlin plates having discontinuities. Computer Methods in Applied Mechanics and Engineering 1999; 179: 407-423.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.179 , pp. 407-423
    • Liu, F.L.1    Liew, K.M.2
  • 15
    • 0032671853 scopus 로고    scopus 로고
    • Differential quadrature element method for static analysis of Reissner-Mindlin polar plates
    • Liu FL, Liew KM. Differential quadrature element method for static analysis of Reissner-Mindlin polar plates. International Journal of Solids and Structures 1999; 36:5101-5123.
    • (1999) International Journal of Solids and Structures , vol.36 , pp. 5101-5123
    • Liu, F.L.1    Liew, K.M.2
  • 16
    • 0031077934 scopus 로고    scopus 로고
    • A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates
    • Liew KM, Han JB. A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates. Communications in Numerical Methods in Engineering 1997; 13:62-73.
    • (1997) Communications in Numerical Methods in Engineering , vol.13 , pp. 62-73
    • Liew, K.M.1    Han, J.B.2
  • 17
    • 0031069030 scopus 로고    scopus 로고
    • An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates
    • Han JB, Liew KM. An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates. Computer Methods in Applied Mechanics and Engineering 1997; 141:265-280.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.141 , pp. 265-280
    • Han, J.B.1    Liew, K.M.2
  • 18
    • 84958730751 scopus 로고
    • Differential quadrature analysis of free vibration of symmetric cross-ply laminates with shear deformation and rotatory inertia
    • Bert CW, Malik M. Differential quadrature analysis of free vibration of symmetric cross-ply laminates with shear deformation and rotatory inertia. Shock and Vibration 1995; 2:321-338.
    • (1995) Shock and Vibration , vol.2 , pp. 321-338
    • Bert, C.W.1    Malik, M.2
  • 19
    • 0000150756 scopus 로고
    • Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature
    • Bert CW, Jang SK, Striz AG. Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Computational Mechanics 1989; 5:217-226.
    • (1989) Computational Mechanics , vol.5 , pp. 217-226
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 20
    • 0000972395 scopus 로고
    • Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates
    • Liew KM, Teo TM, Han JB. Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates. International Journal for Numerical Methods in Engineering 1992; 45: 1831-1848.
    • (1992) International Journal for Numerical Methods in Engineering , vol.45 , pp. 1831-1848
    • Liew, K.M.1    Teo, T.M.2    Han, J.B.3
  • 21
    • 0032184172 scopus 로고    scopus 로고
    • Differential cubature method for static solutions of arbitrarily shaped thick plates
    • Liu FL, Liew KM. Differential cubature method for static solutions of arbitrarily shaped thick plates. International Journal of Solids and Structures 1998; 35:3655-3674.
    • (1998) International Journal of Solids and Structures , vol.35 , pp. 3655-3674
    • Liu, F.L.1    Liew, K.M.2
  • 22
    • 0031167220 scopus 로고    scopus 로고
    • Differential cubature method: A solution technique for Kirchhoff plates of arbitrary shape
    • Liew KM, Liu FL. Differential cubature method: a solution technique for Kirchhoff plates of arbitrary shape. Computer Methods in Applied Mechanics and Engineering 1997; 145:1-10.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.145 , pp. 1-10
    • Liew, K.M.1    Liu, F.L.2
  • 23
    • 0024705632 scopus 로고
    • New insights in solving distributed system equations by the quadrature method: I. Analysis
    • Quan JR, Chang CT. New insights in solving distributed system equations by the quadrature method: I. Analysis. Computers and Chemical Engineering 1989; 13:779-788.
    • (1989) Computers and Chemical Engineering , vol.13 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 24
    • 0024738766 scopus 로고
    • New insights in solving distributed system equations by the quadrature method: II. Numerical experiments
    • Quan JR, Chang CT. New insights in solving distributed system equations by the quadrature method: II. Numerical experiments. Computers and Chemical Engineering 1989; 13:1017-1024.
    • (1989) Computers and Chemical Engineering , vol.13 , pp. 1017-1024
    • 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
    • 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
  • 26
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K. Surfaces generated by moving least squares methods. Mathematics of Computation 1981; 37:141-158.
    • (1981) Mathematics of Computation , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 30
    • 0004255955 scopus 로고
    • International Series of Monographs on Aeronautics and Astronautics. Pergamon Press: New York
    • Morley LSD. Skew Plates and Structures. International Series of Monographs on Aeronautics and Astronautics. Pergamon Press: New York, 1963.
    • (1963) Skew Plates and Structures
    • Morley, L.S.D.1
  • 31
    • 0000122214 scopus 로고    scopus 로고
    • Bending analysis of simply supported shear deformable skew plates
    • ASCE
    • Liew KM, Han JB. Bending analysis of simply supported shear deformable skew plates. Journal of Engineering Mechanics (ASCE) 1997; 123:214-221.
    • (1997) Journal of Engineering Mechanics , vol.123 , pp. 214-221
    • Liew, K.M.1    Han, J.B.2
  • 32
    • 0029276089 scopus 로고
    • Performance study of a simple finite element in the analysis of skew rhombic plates
    • Sengupta D. Performance study of a simple finite element in the analysis of skew rhombic plates. Computers and Structures 1995; 54:1173-1182.
    • (1995) Computers and Structures , vol.54 , pp. 1173-1182
    • Sengupta, D.1
  • 33
    • 0002442112 scopus 로고    scopus 로고
    • Bending solution for thick plates with quadrangular boundary
    • ASCE
    • Liew KM, Han JB. Bending solution for thick plates with quadrangular boundary. Journal of Engineering Mechanics (ASCE) 1998; 124:9-17.
    • (1998) Journal of Engineering Mechanics , vol.124 , pp. 9-17
    • Liew, K.M.1    Han, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.