[HTML][HTML] Variational differential quadrature: a technique to simplify numerical analysis of structures

MF Shojaei, R Ansari - Applied Mathematical Modelling, 2017 - Elsevier
A new solution method in the area of computational mechanics is developed in this article,
which is called variational differential quadrature (VDQ). The main idea of this method is …

Dynamic characteristics of shaped micro-actuators solved using the differential quadrature method

JH Kuang, CJ Chen - Journal of Micromechanics and …, 2004 - iopscience.iop.org
This study examined the dynamic characteristics of nonlinear electrostatic pull-in behavior
for shaped actuators in micro-electro-mechanical systems (MEMS). The natural frequencies …

A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions

D Kröner, M Ohlberger - Mathematics of Computation, 2000 - ams.org
In this paper we shall derive a posteriori error estimates in the $ L^ 1$-norm for upwind finite
volume schemes for the discretization of nonlinear conservation laws on unstructured grids …

Size-dependent pull-in instability of electrostatically actuated microbeam-based MEMS

B Wang, S Zhou, J Zhao, X Chen - Journal of Micromechanics …, 2011 - iopscience.iop.org
We present a size-dependent model for electrostatically actuated microbeam-based MEMS
using strain gradient elasticity theory. The normalized pull-in voltage is shown to increase …

Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method

MH Hsu - Computer Methods in Applied Mechanics and …, 2005 - Elsevier
The eigenvalue problems of clamped-free and hinged–hinged Bernoulli–Euler beams on
elastic foundation with a single edge crack, axial loading and excitation force were …

Size-dependent pull-in analysis of a composite laminated micro-beam actuated by electrostatic and piezoelectric forces: Generalized differential quadrature method

J Shen, H Wang, S Zheng - International Journal of Mechanical Sciences, 2018 - Elsevier
In this paper, a size-dependent model of clamped-clamped composite laminated
electrostatic Euler–Bernoulli microbeams with piezoelectric layers attached was proposed …

[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 …

Thermal post-buckling analyses of magneto-electro-elastic laminated beams via generalized differential quadrature method

XL Zhang, XC Chen, M Li, YH Li, J Xu - Aerospace Science and …, 2021 - Elsevier
The present paper is concerned with the thermal post-buckling behaviors of magneto-electro-
elastic laminated beams. Timoshenko beam theory accompanying the von Kármán …

Surface effects on nonlinear vibration of embedded functionally graded nanoplates via higher order shear deformation plate theory

F Ebrahimi, E Heidari - Mechanics of Advanced Materials and …, 2019 - Taylor & Francis
In this paper, free vibration behavior of functionally nanoplate resting on a Pasternak linear
elastic foundation is investigated. The study is based on third-order shear deformation plate …

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 …