scholarly journals Theoretical and numerical analysis of selected hybrid Trefftz method with the use of method of subdomains coupling based on “frame” concept

2018 ◽  
Vol 19 (12) ◽  
pp. 323-330
Author(s):  
Dorota Borkowska
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Hybrid Method ◽  
Numerical Experiments ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Problem Domain ◽  
Trefftz Method ◽  
Theoretical And Numerical Analysis

The aim of this paper is theoretical and numerical analysis of Trefftz method in Galerkin version, which symbol is O-S;T-T.The analysis was conducted on the example of two-dimensional Poisson’s problem. Domain of interest was divided into homogeneous subdomains. In this way hybrid method was obtained, that is a combination of the boundary method with conventional finite element known from the Finite Element Method. The method based on idea of “frames” was used to couple subdomains. Finally, the results of numerical experiments obtained for two boundary value problems were presented. The accuracy of the method was analyzed depending on the number of Trefftz coefficients.

A simplified numerical and analytical study for assessing the seismic response of a gravity concrete lock

2021 ◽  
Vol 14 (1) ◽  
Author(s):  
Neander Berto Mendes ◽  
Lineu José Pedroso ◽  
Paulo Marcelo Vieira Ribeiro
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Study ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Fluid Structure ◽  
Analytical Formulation ◽  
Acoustic Cavity ◽  
Water Chamber ◽  
Structure Problem

ABSTRACT: This work presents the dynamic response of a lock subjected to the horizontal S0E component of the El Centro earthquake for empty and completely filled water chamber cases, by coupled fluid-structure analysis. Initially, the lock was studied by approximation, considering it similar to the case of a double piston coupled to a two-dimensional acoustic cavity (tank), representing a simplified analytical model of the fluid-structure problem. This analytical formulation can be compared with numerical results, in order to qualify the responses of the ultimate problem to be investigated. In all the analyses performed, modeling and numerical simulations were done using the finite element method (FEM), supported by the commercial software ANSYS.

NUMERICAL ANALYSIS OF THE FINITE ELEMENT METHOD APPLIED TO THE BOLTZMANN-POISSON SYSTEM

1995 ◽  
Vol 05 (03) ◽  
pp. 351-365 ◽  
Author(s):  
V. SHUTYAEV ◽  
O. TRUFANOV
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Semiconductor Device ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Poisson System ◽  
The Finite Element Method ◽  
Initial Boundary Value ◽  
Element Method

This paper is concerned with the numerical analysis of the mathematical model for a semiconductor device with the use of the Boltzmann equation. A mixed initial-boundary value problem for nonstationary Boltzmann-Poisson system in the case of one spatial variable is considered. A numerical algorithm for solving this problem is constructed and justified. The algorithm is based on an iterative process and the finite element method. A numerical example is presented.

Numerical Analysis of Kinetic Energy Projectile Sabot Structure Influencing the Armour Penetration Depth. Part I - Projectile Basic Option

2021 ◽  
Vol 155 (4) ◽  
pp. 23-48
Author(s):  
Tomasz Błaszczak ◽  
Mariusz Magier
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Kinetic Energy ◽  
Penetration Depth ◽  
Simulation Environment ◽  
The Finite Element Method ◽  
Development Trends ◽  
Terminal Ballistics ◽  
Potential Development

A numerical analysis over influence of kinetic energy projectile sabot structure on the armour depth penetration is presented in the paper. The analysis has identified an influence of sabot different materials into projectile combat performance, and some areas of sabot structure where its shape can be optimised. The finite element method in Solidworks Simulation environment was used in analysis. Due to it the dynamical loads of the sabot at the time of firing could be investi-gated. The influence of sabot different materials and projectile geometry modifications on the strength of penetrator sabot joining was studied. A pattern of dynamical loads for the penetrator sabot joining was simulated and visualised. For selected options of the structure the calculations were performed over the terminal ballistics. It allowed an identification of potential development trends for this brand of ammunition.

Implementation of p and h-p Versions of the Finite Element Method

1992 ◽  
Author(s):  
Ye-Chen Lai ◽  
Timothy C. S. Liang ◽  
Zhenxue Jia
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Elastic Analysis ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Shape Functions ◽  
Linear Elastic ◽  
Finite Element Software ◽  
Analysis Process ◽  
Adaptive Analysis

Abstract Based on hierarchic shape functions and an effective convergence procedure, the p-version and h-p adaptive analysis capabilities were incorporated into a finite element software system, called COSMOS/M. The range of the polynomial orders can be varied from 1 to 10 for two dimensional linear elastic analysis. In the h-p adaptive analysis process, a refined mesh are first achieved via adaptive h-refinement. The p-refinement is then added on to the h-version designed mesh by uniformly increasing the degree of the polynomials. Some numerical results computed by COSMOS/M are presented to illustrate the performance of these p and h-p analysis capabilities.

NUMERICAL AND PHYSICAL MODELLING OF KAOLIN AS BACKFILL MATERIAL FOR POLYMER CONCRETE RETAINING WALL

2015 ◽  
Vol 76 (2) ◽  
Author(s):  
Ali Arefnia ◽  
Khairul Anuar Kassim ◽  
Houman Sohaei ◽  
Kamarudin Ahmad ◽  
Ahmad Safuan A Rashid
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Retaining Wall ◽  
Laboratory Data ◽  
Physical Modelling ◽  
Horizontal Displacement ◽  
Polymer Concrete ◽  
The Finite Element Method ◽  
Backfill Material

 The failure mechanism of backfill material for retaining wall was studied by performing a numerical analysis using the finite element method. Kaolin is used as backfill material and retaining wall is constructed by Polymer Concrete. The laboratory data of an instrumented cantilever retaining wall are reexamined to confirm an experimental working hypothesis. The obtained laboratory data are the backfill settlement and horizontal displacement of the wall. The observed response demonstrates the backfill settlement and displacement of the retaining wall from the start to completion of loading. In conclusion, numerical modelling results based on computer programming by ABAQUS confirms the experimental results of the physical modelling.  

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