The application of special matrix product to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates

W Chen, C Shu, W He, T Zhong - Computers & Structures, 2000 - Elsevier
The Hadamard and SJT product of matrices are two types of special matrix product. The
latter was first defined by Chen. In this study, they are applied to the differential quadrature …

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 …

Reducing the computational requirements of the differential quadrature method

W Chen, Y Yu, X Wang - Numerical Methods for Partial …, 1996 - Wiley Online Library
This article shows that the weighting coefficient matrices of the differential quadrature
method (DQM) are centrosymmetric or skew‐centrosymmetric, if the grid spacings are …

Stability and accuracy of differential quadrature method in solving dynamic problems

TC Fung - Computer Methods in Applied Mechanics and …, 2002 - Elsevier
In this paper, the differential quadrature method is used to solve dynamic problems
governed by second-order ordinary differential equations in time. The Legendre, Radau …

Static and free vibrational analysis of rectangular plates by the differential quadrature element method

X Wang, YL Wang, RB Chen - Communications in Numerical …, 1998 - Wiley Online Library
Static and free vibrational analysis of rectangular plates by the differential quadrature element
method Page 1 STATIC AND FREE VIBRATIONAL ANALYSIS OF RECTANGULAR PLATES …

A generalized differential quadrature element method

CN Chen - Computer Methods in Applied Mechanics and …, 2000 - Elsevier
The generalized differential quadrature element method (GDQEM) has been proposed. The
element weighting coefficients are generated by a generic differential quadrature (GDQ) with …

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 …

Structural dynamic responses analysis applying differential quadrature method

J Pu, J Zheng - Journal of Zhejiang University-Science A, 2006 - Springer
Unconditionally stable higher-order accurate time step integration algorithms based on the
differential quadrature method (DQM) for second-order initial value problems were applied …

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 …

[PDF][PDF] Application of the differential quadrature method to the longitudinal vibration of non-uniform rods

AMA Al Kaisy, RA Esmaeel, MM Nassar - Engineering Mechanics, 2007 - Citeseer
Differential Quadrature Method (DQM) has a very wide applications in the field of structural
vibration of various elements such as beams, plates, cylindrical shells and tanks. One of the …