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

C Shu, W Chen, H Xue, H Du - International Journal for …, 2001 - Wiley Online Library
The accuracy of global methods such as the differential quadrature (DQ) approach is usually
sensitive to the grid point distribution. This paper is to numerically study the effect of grid …

[PDF][PDF] Differential quadrature method and its applications in engineering

W Chen - Department of Mechanical Engineering, Shanghai Jiao …, 1996 - researchgate.net
Numerical solution procedures occupy an extremely important part in many areas of science
and engineering. The subjects in these fields are of continued research interest. A variety of …

Differential quadrature for buckling analysis of laminated plates

X Wang - Computers & structures, 1995 - Elsevier
Two new sets of grid points are proposed for applying differential quadrature (DQ) to the
analysis of structural problems. The accuracy and convergence of differential quadrature for …

On optimal selection of interior points for applying discretized boundary conditions in DQ vibration analysis of beams and plates

C Shu, W Chen - Journal of sound and Vibration, 1999 - Elsevier
The direct implementation of derivative boundary conditions at edge points was
demonstrated to be simple, flexible and computationally efficient in the vibration analysis of …

A localized differential quadrature (LDQ) method and its application to the 2D wave equation

Z Zong, KY Lam - Computational Mechanics, 2002 - Springer
Differential Quadrature (DQ) is a numerical technique of high accuracy, but it is sensitive to
grid distribution and requires that the number of grid points cannot be too large. These two …

Differential quadrature finite difference method for structural mechanics problems

CN Chen - Communications in numerical methods in …, 2001 - Wiley Online Library
The differential quadrature finite difference method (DQFDM) has been proposed by the
author. The finite difference operators are derived by the differential quadrature (DQ). They …

Application of a new differential quadrature methodology for free vibration analysis of plates

G Karami, P Malekzadeh - International Journal for Numerical …, 2003 - Wiley Online Library
A new methodology is introduced in the differential quadrature (DQ) analysis of plate
problems. The proposed approach is distinct from other DQ methods by employing the …

Comparative accuracy of DQ and HDQ methods for three‐dimensional vibration analysis of rectangular plates

KM Liew, TM Teo, JB Han - International Journal for Numerical …, 1999 - Wiley Online Library
An accuracy study between the Differential Quadrature (DQ) and Harmonic Differential
Quadrature (HDQ) methods for three‐dimensional elasticity solutions of free vibration of …

Static and free vibrational analysis of beams and plates by differential quadrature method

CW Bert, X Wang, AG Striz - Acta Mechanica, 1994 - Springer
The new approach for application of boundary conditions in the differential quadrature (DQ)
method, proposed earlier by the present authors, is extended to generalized force boundary …

Imposition of boundary conditions by modifying the weighting coefficient matrices in the differential quadrature method

TC Fung - International Journal for Numerical Methods in …, 2003 - Wiley Online Library
One of the important issues in the implementation of the differential quadrature method is the
imposition of the given boundary conditions. There may be multiple boundary conditions …