A Parallel Elastoplastic Reanalysis Based on GPU Platform

2016 ◽  
Vol 14 (05) ◽  
pp. 1750051 ◽  
Author(s):  
Guanqiang He ◽  
Hu Wang ◽  
Guangxin Huang ◽  
Haitao Liu ◽  
Guangyao Li
Keyword(s):  
Parallel Computation ◽  
Stiffness Matrix ◽  
Suggested Method ◽  
Elastoplastic Analysis ◽  
Elastic Analysis ◽  
Load Increment ◽  
Numerical Examples ◽  
Element Stiffness Matrix ◽  
Accuracy Of Results

An efficient parallel elastoplastic reanalysis method is suggested. The main backbone of the suggested method is based on combined approximation (CA) reanalysis. GPU parallel computation is used to accelerate assembling the stiffness matrix. Assembling process is divided into the offline part for strain matrix and online part for element stiffness matrix, which makes the structure of the program more reasonable and efficient. Pseudo elastic analysis is introduced and extended to load increment method to make the CA method more feasible. The numerical examples show that the suggested method can improve the efficiency of elastoplastic analysis significantly and the accuracy of results can also be ensured.

Element edge quadrature method for 4-node quadrilateral element for the evaluation of element stiffness matrix

2020 ◽  
pp. 2050015
Author(s):  
Shyjo Johnson ◽  
T. Jeyapoovan ◽  
D. Nagarajan
Keyword(s):  
Stiffness Matrix ◽  
Integration Scheme ◽  
Quadrature Method ◽  
Quadrilateral Element ◽  
Element Analysis ◽  
Element Stiffness Matrix ◽  
Quadrature Scheme ◽  
Numerical Integration Scheme ◽  
Edge Method ◽  
Accuracy Of Results

This research paper focuses on the objective of developing a quadrature for evaluating the element stiffness matrix for the four-node quadrilateral element in finite element analysis (FEA). The proposed integration scheme is defined as an element edge method (EEM), which mimics the Gauss numerical integration scheme. This integration scheme consists of five sampling points and weights where four integration point locations are at the edges and one is at the center of the quadrilateral element. The proposed quadrature scheme has been tested using various benchmarked problems designed by various researchers to study the convergence of the results, accuracy of results, and stability of values.

A sampling point quadrature method for 3-node triangular element for the evaluation of element stiffness matrix in finite element analysis

2020 ◽  
Vol 09 (02) ◽  
pp. 2050008
Author(s):  
Shyjo Johnson ◽  
T. Jeyapoovan ◽  
D. Nagarajan
Keyword(s):  
Stiffness Matrix ◽  
Triangular Element ◽  
Integration Scheme ◽  
Sampling Point ◽  
Quadrilateral Element ◽  
Element Analysis ◽  
Element Stiffness Matrix ◽  
Sampling Points ◽  
Edge Sampling ◽  
Accuracy Of Results

Recently, many literature studies have focused on the development on new elements in finite elements. This paper aims to develop a new quadrature for the 3-node triangular element for the purpose of evaluation of element stiffness matrix. The analysis of triangular element is usually done in a quadrilateral element by dividing the quadrilateral element into two. The edge sampling point quadrature is a mimics of Gauss numerical integration scheme. This sampling integration scheme consists of five sampling points and weights where four sampling points are at the edge and one at the center of the element. Accuracy of results, convergence of the results and stability of values have been tested using the standard benchmarked problems defined by various research studies.

Stiffness Analysis of 3-RPR Planar Parallel Mechanism to the Stiffness Control

2009 ◽  
Vol 16-19 ◽  
pp. 786-790 ◽  
Author(s):  
Shu Jun Li ◽  
Clément Gosselin
Keyword(s):  
Stiffness Matrix ◽  
Parallel Mechanism ◽  
Stiffness Analysis ◽  
Numerical Examples ◽  
Stiffness Control ◽  
Conservative Congruence Transformation ◽  
Stiffness Characteristics ◽  
External Forces ◽  
Congruence Transformation

The analytical stiffness equations of the 3-RPR planar parallel mechanism are derived in this paper based on the Conservative Congruence Transformation (CCT) stiffness matrix proposed in [1-3]. Stiffness maps of the 3-RPR mechanism are plotted in order to show the behaviour of the stiffness with and without external forces. The stiffness characteristics of the mechanism are analyzed and discussed in details. Numerical examples show that the stiffness in x and in y are well balanced, while the stiffness in tends to be lower.

Curved beam element stiffness matrix formulation

1985 ◽  
Vol 21 (4) ◽  
pp. 663-669 ◽  
Author(s):  
R. Palaninathan ◽  
P.S. Chandrasekharan
Keyword(s):  
Stiffness Matrix ◽  
Beam Element ◽  
Curved Beam ◽  
Matrix Formulation ◽  
Element Stiffness Matrix ◽  
Curved Beam Element
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