Citations
More filters
A local point interpolation method (LPIM) for static and dynamic analysis of thin beams
YuanTong Gu,Gui-Rong Liu +1 more
TL;DR: In this article, a new LPIM formulation is proposed to deal with 4th order boundary-value and initial-value problems for static and dynamic analysis (stability, free vibration and forced vibration) of beams.
Analysis of Thin Beams, Using the Meshless Local Petrov-Galerkin Method, with Generalized Moving Least Squares Interporations
TL;DR: In this paper, a generalized moving least squares interpolation scheme was proposed to deal with 4th order problems of thin beams, where the information concerning the derivative of the field variable was incorporated into the interpolation.
References
More filters
Book
The Finite Element Method: A Practical Course
Gui-Rong Liu,S.S. Quek +1 more
TL;DR: In this paper, the Finite Element Method (FEM) is used for trusses, beams, and frames for two-dimensional solids and shells for 3D solids.
Book
Introduction to finite element vibration analysis
TL;DR: In this article, the finite element displacement method was used for the analysis of free vibration of plates and shells, and for the simulation of forced response and forced response analysis of rigid and flexible plates.
Journal ArticleDOI
Analysis of thin plates by the element-free Galerkin method
Petr Krysl,Ted Belytschko +1 more
TL;DR: A meshless approach to the analysis of arbitrary Kirchhoff plates by the Element-Free Galerkin (EFG) method is presented and it is shown, that high accuracy can be achieved for arbitrary grid geometries, for clamped and simply-supported edge conditions, and for regular and irregular grids.
Analysis of Thin Plates by the Element-Free
Petr Krysl,Ted Belytschko +1 more
TL;DR: A meshless approach to the analysis of arbitrary Kirchho plates by the Element-Free Galerkin (EFG) method is presented in this article, which is based on moving least squares approximant.
Journal ArticleDOI
Analysis of thin beams, using the meshless local Petrov–Galerkin method, with generalized moving least squares interpolations
TL;DR: In this paper, a generalized moving least squares interpolation scheme was proposed to deal with 4th order problems of thin beams, where the information concerning the derivative of the field variable was incorporated into the interpolation.