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

146 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

High‐accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain (2009, methodology): “In this approach, the first-order [44] and the second-order derivatives (see [29, 30] for example) were employed as the independent DOFs at boundary points, the Lagrange (see [43] for example) and Hermite (see [38, 42] for example) functions were commonly used in the determination of weighting coeff”
FGM and Laminated Doubly-Curved and Degenerate Shells Resting on Nonlinear Elastic Foundations: A GDQ Solution for Static Analysis with a Posteriori Stress and Strain Recovery (2013, unknown): “3 ij ij ij nl ij ij ij U U k U q ( ) − ( ) ( ) ( ) ( ) − ( ) ( ) ( ) − ( ( ) + sgn ) ( ) − ( ) ( ) − ( ) ( ) − ( ) ( ) − ( ) ( ) − ( ) = + + = + q q q q k U ij f ij nlf ij ij ij 3 3 3 3 3 3 ij nl ij ij ij nl ij ij k U U k U 1 3 2 3 1 3 1 2 3 3 3 1 ( ) ( ) − ( ) ( ) ( ) ( ) − ( ) ( + ( ) + sgn ) 3 (4”