Strong formulation finite element method based on differential quadrature: a survey

F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

[图书][B] Differential quadrature and its application in engineering

C Shu - 2012 - books.google.com
In the past few years, the differential quadrature method has been applied extensively in
engineering. This book, aimed primarily at practising engineers, scientists and graduate …

Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method

SC Pradhan, T Murmu - Journal of Sound and Vibration, 2009 - Elsevier
Thermo-mechanical vibration analysis of functionally graded (FG) beams and functionally
graded sandwich (FGSW) beams are presented. The functionally graded material (FGM) …

Review of solution methodologies for structural analysis of composites

M Dhuria, N Grover, K Goyal - European Journal of Mechanics-A/Solids, 2023 - Elsevier
This article reviews state-of-art solution methodologies for structural analysis of composites.
The use of composites and advance composite in the design of structures has contributed to …

High‐accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain

Y Xing, B Liu - International journal for numerical methods in …, 2009 - Wiley Online Library
Based on the differential quadrature (DQ) rule, the Gauss Lobatto quadrature rule and the
variational principle, a DQ finite element method (DQFEM) is proposed for the free vibration …

Free vibration analysis of circular plates using generalized differential quadrature rule

TY Wu, YY Wang, GR Liu - Computer Methods in Applied Mechanics and …, 2002 - Elsevier
The free vibration of solid circular plates has been studied using the generalized differential
quadrature rule (GDQR). The effects such as stepped thickness, intermediate concentric ring …

A new differential quadrature methodology for beam analysis and the associated differential quadrature element method

G Karami, P Malekzadeh - Computer Methods in Applied Mechanics and …, 2002 - Elsevier
This paper presents a computationally efficient and an accurate new methodology in
differential quadrature analysis of beam elements. The methodology would overcome the …

A differential quadrature as a numerical method to solve differential equations

TY Wu, GR Liu - Computational Mechanics, 1999 - Springer
A Differential Quadrature proposed here can be used to solve boundary-value and initial-
value differential equations with a linear or nonlinear nature. Unlike the classic Differential …

Solving initial value problems by differential quadrature method—part 2: second‐and higher‐order equations

TC Fung - International Journal for Numerical Methods in …, 2001 - Wiley Online Library
In Part 1 of this paper, the sampling grid points for the differential quadrature method to give
unconditionally stable higher‐order accurate time step integration algorithms are proposed …

The generalized differential quadrature rule for fourth‐order differential equations

TY Wu, GR Liu - International Journal for Numerical Methods in …, 2001 - Wiley Online Library
The generalized differential quadrature rule (GDQR) proposed here is aimed at solving high‐
order differential equations. The improved approach is completely exempted from the use of …