Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation

International Journal for Numerical Methods in Engineering

Volumn 51, Issue 2, 2001, Pages 159-179

  Shu, C ^a   Chen, W ^a   Xue, H ^a   Du, H ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Differential quadranture; Grid structure; High order boundary value problems; Truncation error

Indexed keywords

APPROXIMATION THEORY; BEAMS AND GIRDERS; ERROR ANALYSIS; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); POLYNOMIALS;

GRID POINT DISTRIBUTION;

DIFFERENTIAL EQUATIONS;

MATHEMATICAL METHOD;

EID: 0035918609     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.150     Document Type: Article

References (21)

1. Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
2. Differential quadrature for multidimensional problems
3. New insights in solving distributed system equations by the quadrature methods-I
4. Parallel simulation of incompressible viscous flows by generalized differential quadrature
5. Differential quadrature method in computational mechanics: A review
6. A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates
7. New insights in solving distributed system equations by the quadrature methods-II
8. Differential quadrature approach for delamination buckling analysis of composites with shear deformation
9. Two new methods for analyzing free vibration of structural components
10. A new approach in applying differential quadrature to static and free vibrational analyses of beams and plates
11. Implementing multiple boundary conditions in the DQ solution of higher-order PDE's: Application to free vibration of plates
12. Static analysis of frame structures by the differential quadrature element method
13. A new approach to the differential quadrature method for quadrature method for fourth-order equations
14. Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates
15. The free vibration of rectangular plates
16. Vibration of completely free shallow shells of rectangular platform
17. Application of two-dimensional orthogonal plate function to flexural vibration of skew plates