scholarly journals A new finite element method using MATLAB for Poisson’s Equation in axisymmetric domain

Author(s):  
Shylaja G, Et. al.

This paper demonstrates finite element procedure for two-dimensional axisymmetric domains. For many engineering applications like structural engineering, aerospace engineering, geo-mechanics etc., the solution domain and boundary conditions are axisymmetric. Henceforth, we can illuminate just the axisymmetric part of the solution domain that gives the data of the entire domain. This paper demonstrates the effectiveness of using MATLAB programming demonstrated by Persson et.al (2004) as the initial mesh for discretization of axisymmetric domains for higher order meshing. Further, solving some class of partial differential equations using finite element method with nodal relation given by subparametric transformations Rathod et.al (2008). In this paper a cubic order curved triangular meshing for some of the domains like ellipse and circle are demonstrated. These in turn finds its applications in the fields like stress analysis in mechanical engineering, torsion twist (shear strength) analysis in civil engineering, evaluation of stress intensity factor for quarter elliptical crack in pressure vessels in equipment industry etc,. The output data from the meshing scheme like meshing of the domain, nodal position, element connectivity and boundary edges are been used in the finite element procedures. The efficiency of the method is achieved by p-refinement scheme i.e., fixing the number of elements and increasing the polynomial order.

2021 ◽  
Vol 1034 (1) ◽  
pp. 012026
Author(s):  
Abdi Ismail ◽  
Achmad Zubaydi ◽  
Bambang Piscesa ◽  
Ervan Panangian ◽  
Rizky Chandra Ariesta ◽  
...  

2013 ◽  
Vol 658 ◽  
pp. 340-344
Author(s):  
Somsak Siwadamrongpong ◽  
Supakit Rooppakhun ◽  
Natchaya Murachai ◽  
Pakorn Burakorn

Since the vehicle accident is one of the major causes of dead and injury in Thailand, especially the large passenger vehicle. The seat anchorage was often damaged and lead to high number and critical of patient. To improve the safety of large passenger vehicle, seat anchorage should be investigated. The aim of this research was to analyze strength of seat anchorages for the bus according to European standard ECE Regulation 80 using finite element method and DOE(Design of Experimental) approach. In this study, the boundary conditions on finite element model of seat structure were defined according to the regulation. It is expected that the simulation techniques could be advantaged for seat anchorage analysis. This result will be used for further improvement of the bus seat anchorage design for safety and cost reduction in design processes.


2016 ◽  
Vol 851 ◽  
pp. 720-727
Author(s):  
Yu Chuan Lin ◽  
Wen Jeng Hsueh

The aim of this study is to develop structural strength analysis technique and real-time measuring system of composite laminate using finite element method (FEM) and fiber bragg grating (FBG) sensor. A composite laminate of cantilever beam was designed and fabricated using glass fiber reinforced plastic (GFRP) for structural mechanics behavior research. Six design cases of different orientations composite laminate were considered for the better combinations by using FEM program. The bending test of a composite laminate of cantilever beam was performed by using FBG sensor to obtained relationship between strain and displacement. The study result shows that the higher stiffness of composite laminate of cantilever beam was obtained in the [0/90/0/90] orientation. The first natural frequency is 34.83 Hz and corresponding mode shape is bending mode in Z-direction. The FEM and FBG sensor have been successfully used in variety of composite laminate design with different layering sequences by this article.


Author(s):  
Benjamin Hantz ◽  
Venkata M. K. Akula ◽  
John Leroux

For pressure vessels, loss of thickness detected during scheduled maintenance utilizing UT scans can be assessed based on Level 1 or 2 analyses as per API 579 guidelines. However, Level 1 and 2 analyses can point to excessively conservative assessments. Level – 3 assessments utilizing the finite element method can be performed for a more accurate estimate of the load carrying capacity of the corroded structure. However, for a high fidelity structural response prediction using the finite element method, the characteristics of the model must be accurately represented. Although the three nonlinearities, namely, the geometric, material, and contact nonlinearities can be adequately included in a finite element analysis, procedures to accurately include the thickness measurements are not readily available. In this paper, a tool to map thicknesses obtained from UT scans onto a shell based finite element models, to perform Level – 3 analyses is discussed. The tool works in conjunction with Abaqus/CAE and is illustrated for two different structures following the elastic-plastic analysis procedure outlined in the API 579 document. The tool is intended only as a means to reduce the modeling time associated with mapping thicknesses. The results of the analyses and insights gained are presented.


1982 ◽  
Vol 11 (4) ◽  
pp. 310-327
Author(s):  
H. Irokazu ◽  
M. Inami ◽  
Yoshio Nakahara

Methods for analysing coated plain-weave fabric which has properties of nonlinear elasticity have not yet been satisfactorily developed. In this paper, a method which is promis ing for use in engineering applications like the strength analysis of membrane structures is presented. The finite element method using a rectangular element consisting of plain-weave fabric and coating material which is assumed to be an isotropic elastic plate of plane stress is applied to the method. Verification of the me thod is made by using uniaxial stress-strain responses. A square piece of coated plain-weave fabric with a square hole in it is analyzed as an example of application of the present method. Key Words: coated plain-weave fabrics; finite element method; nonlinearly elastic biaxial response; geometrically nonlinear prob lem ; incremental approach.


2013 ◽  
Vol 23 (4) ◽  
pp. 839-853 ◽  
Author(s):  
Barbara Strug ◽  
Anna Paszynśka ◽  
Maciej Paszynśki ◽  
Ewa Grabska

Abstract The paper presents a system of Composite Graph Grammars (CGGs)modelling adaptive two dimensional hp Finite Element Method (hp-FEM) algorithms with rectangular finite elements. A computational mesh is represented by a composite graph. The operations performed over the mesh are defined by the graph grammar rules. The CGG system contains different graph grammars defining different kinds of rules of mesh transformations. These grammars allow one to generate the initial mesh, assign values to element nodes and perform h- and p-adaptations. The CGG system is illustrated with an example from the domain of geophysics.


2003 ◽  
Vol 17 (08n09) ◽  
pp. 1788-1794
Author(s):  
Han Ki Yoon ◽  
Joon Soo Park ◽  
Sang Pill Lee ◽  
Yi Hyun Park ◽  
Yu Sik Kong ◽  
...  

As for the properties on both the aluminum and the CFRP which are used to make CFRP/AL7075 hybrid composites, CARALL (carbon reinforced aluminum laminate). In the CARALL specimen for rule of mixture, we were analyzed notched strength by finite element method. The results obtained from FEM notched strength analysis and experimental are as follows; In the unnotch CARALL specimen, the stresses imposed CFRP, epoxy, A17075 obtained by finite element method strength solution for A/C9991, when strain 0.48%, are 392 Mpa, 26 Mpa and 321 Mpa, respectively. The slope of the stress-strain curve by FEM increase in keeping with the hole size and the yield strain decrease to 36% and 55% for A/C9993 and A/C9991 respectively. And an agreement is found between the experimental results and the FEM analytical prediction results.


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