Boundary Element Analysis of Coupled Continuum and Skeletal Structures

2007 ◽  
Vol 10 (4) ◽  
pp. 415-438
Author(s):  
Youssef F. Rashed
Keyword(s):  
Boundary Element ◽  
Main Idea ◽  
Element Analysis ◽  
Skeletal Structures ◽  
Stiffness Matrices ◽  
Assembly Technique ◽  
A New Technique ◽  
Set Up ◽  
The Continuum ◽  
Element Method

This paper presents a new technique for solving coupled continuum and skeletal structures. The technique is based on employing the well-known flexibility and stiffness methods within the boundary element method (BEM). The analyzed problem is divided into: continuum parts, which are modeled using the BEM and skeletal parts which are modeled using the flexibility or stiffness methods. The main idea of the presented technique is to set up a methodology to generate flexibility or stiffness matrices for the continuum parts using the BEM. To do so, several flexibility and stiffness models are developed. The developed technique is tested on three problems. Results are compared to those obtained from the finite element method (FEM) to show the validity of the developed technique. The present technique gains both advantages of the BEM and the FEM as it allows boundary-only discretization for the continuum parts and uses the banded assembly technique of FEM for the overall structure.

Boundary Element Parallel Computation for 3D Elastostatics Using CUDA

2011 ◽  
Author(s):  
Yingjun Wang ◽  
Qifu Wang ◽  
Gang Wang ◽  
Yunbao Huang ◽  
Yixiong Wei
Keyword(s):  
Boundary Element ◽  
Parallel Computation ◽  
Computer Aided Design ◽  
Graphics Processing Unit ◽  
Computation Method ◽  
Processing Unit ◽  
Element Analysis ◽  
Integral Methods ◽  
Cad Models ◽  
Element Method

Finite Element Method (FEM) is pervasively used in most of 3D elastostatic numerical simulations, in which Computer Aided Design (CAD) models need to be converted into mesh models first and then enriched with semantic data (e.g. material parameters, boundary conditions). The interaction between CAD models and FEM models stated above is very intensive. Boundary Element Method (BEM) has been used gradually instead of FEM in recent years because of its advantage in meshing. BEM can reduce the dimensionality of the problem by one so that the complexity in mesh generation can be decreased greatly. In this paper, we present a Boundary Element parallel computation method for 3D elastostatics. The parallel computation runs on Graphics Processing Unit (GPU) using Computing Unified Device Architecture (CUDA). Three major components are included in such method: (1) BEM theory in 3D elastostatics and the boundary element coefficient integral methods, (2) the parallel BEM algorithm using CUDA, and (3) comparison the parallel BEM using CUDA with conventional BEM and FEM respectively by examples. The dimension reduction characteristics of BEM can dispose the 3D elastostatic problem by 2D meshes, therefore we develop a new faceting function to make the ACIS facet meshes suitable for Boundary Element Analysis (BEA). The examples show that the GPU parallel algorithm in this paper can accelerate BEM computation about 40 times.

Jaw Crusher Based on Discrete Element Method

2013 ◽  
Vol 312 ◽  
pp. 101-105
Author(s):  
Fu Sheng Mu ◽  
Hui Li ◽  
Xing Xue Li ◽  
Hong Zhi Xiong
Keyword(s):  
Energy Consumption ◽  
Discrete Element Method ◽  
Discrete Element ◽  
Working Process ◽  
Element Analysis ◽  
Dem Simulation ◽  
Force Condition ◽  
Jaw Crusher ◽  
Set Up ◽  
Element Method

In order to analyze the force condition and crushing power of crusher teeth plate, the discrete element method models of jaw crusher and double-cavity jaw crusher are set up respectively using EDEM, a kind of software for discrete element analysis. Meanwhile, the working process, the loading force on the teeth plate and crushing power are simulated. The results show that: the rationality of the DEM simulation is declared, and the crushing process of the particles is also shown intuitively. The loading force condition and the crushing power of the moving jaw teeth plate serve as basis for its abrasion and energy consumption respectively.

Dual Boundary Element Analysis for Time-Dependent Fracture Problems in Creeping Materials

2008 ◽  
Vol 383 ◽  
pp. 109-121 ◽  
Author(s):  
E. Pineda ◽  
M.H. Aliabadi
Keyword(s):  
Boundary Element ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Creep Behaviour ◽  
Boundary Integral ◽  
Element Formulation ◽  
Secondary Creep ◽  
Element Analysis ◽  
Power Law Creep ◽  
Element Method

This paper presents the development of a new boundary element formulation for analysis of fracture problems in creeping materials. For the creep crack analysis the Dual Boundary Element Method (DBEM), which contains two independent integral equations, was formulated. The implementation of creep strain in the formulation is achieved through domain integrals in both boundary integral equations. The domain, where the creep phenomena takes place, is discretized into quadratic quadrilateral continuous and discontinuous cells. The creep analysis is applied to metals with secondary creep behaviour. This is con…ned to standard power law creep equations. Constant applied loads are used to demonstrate time e¤ects. Numerical results are compared with solutions obtained from the Finite Element Method (FEM) and others reported in the literature.

Reconstruction of surface velocity field using wavelet transformation and boundary-element method

2007 ◽  
Vol 221 (2) ◽  
pp. 167-175
Author(s):  
B Ko
Keyword(s):  
Boundary Element Method ◽  
Velocity Field ◽  
Boundary Element ◽  
Measurement Errors ◽  
Wavelet Transformation ◽  
Surface Velocity ◽  
Discrete Wavelet ◽  
Element Analysis ◽  
Reconstruction Process ◽  
Element Method

This paper shows the application of discrete wavelet transformation (DWT) to inverse acoustics for reconstructing the surface velocity of a noise source. This approach uses the boundary-element analysis based on the measured sound pressure at a set of field points, the Helmholtz integral equations, and wavelet transformation to reconstruct the normal surface velocity field. The reconstructed velocity field can be diverged due to the small measurement errors in the case of nearfield acoustic holography using an inverse boundary-element method. In order to bypass the instability in the inverse problem, the reconstruction process should include some form of regularization for enhancing the resolution of source images. The usual method of regularization has been the truncation of wave vectors associated with small singular values, although the order of an optimal truncation is difficult to determine. In this paper, a DWT is applied to reduce the computation time for inverse acoustics and to enhance the reconstructed surface velocity field. The computational speed-up is achieved, with solution time being reduced to 14.3 per cent.

scholarly journals ANALYSIS OF CRACK INITIATION AND PROPAGATION IN PIEZOELECTRIC CERAMIC BY USING BOUNDARY ELEMENT METHOD

2017 ◽  
Vol 23 (4) ◽  
pp. 330
Author(s):  
Feliks Stachowicz ◽  
Mojtaba Biglar ◽  
Magdalena Gromada ◽  
Tomasz Trzepiecinski
Keyword(s):  
Boundary Element Method ◽  
Barium Titanate ◽  
Crack Initiation ◽  
Boundary Element ◽  
Programming Algorithm ◽  
Crack Initiation And Propagation ◽  
Element Analysis ◽  
Barium Titanate Ceramic ◽  
Initiation And Propagation ◽  
Element Method

<p> <strong><span style="font-family: Times New Roman; font-size: small;">Abstract </span></strong></p><p><span style="font-family: Times New Roman;">The subject of this paper is the analysis of crack initiation and propagation in barium titanate ceramic using boundary element method. In micro-mechanical analyses, it is very important to have knowledge about the real microstructure of material. The barium titanate pellet was prepared  using a solid-state technique. The boundary element method is used in order to be combined with three different grain boundary formulations for the investigation of micro-mechanics as well as crack initiation and propagation in piezoelectric actuator. In order to develop a numerical programming algorithm, suitable models of polycrystalline aggregate and representative volume elements have been prepared for boundary element analysis. </span></p>

scholarly journals Boundary-Element Analysis of Magnetic Polarization Tensor for Metallic Cylinder

2021 ◽  
Author(s):  
Zhongwei Jin ◽  
ganghua qin ◽  
haidong fan ◽  
ruochen huang ◽  
ziqi chen ◽  
...  
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Scattered Field ◽  
Excitation Frequency ◽  
Computation Method ◽  
Polarization Tensor ◽  
Magnetic Polarization ◽  
Element Analysis ◽  
Metallic Sample ◽  
Element Method

The magnetic polarization tensor has a promising capability of determining the geometry and material properties of metallic samples. In this paper, a novel computation method is proposed to estimate the magnetic polarization tensors for the metallic samples using the boundary element method. In this method, the metallic sample is placed in a uniformly distributed magnetic field. Based on assumptions that the excitation frequency and/or the conductivity of the sample is very high, the metallic sample is regarded as a perfect electrical conductor (PEC). Therefore, the scattered field at a certain distance can be simulated. By utilising the boundary element method, the magnetic polarization tensor can be derived from the simulated scattered field. The theoretical calculation is presented and simulations and experiments have been carried out to validate the proposed method. The results from the simulation are matched with the analytical solution for the case of sphere samples. Moreover, there is a good agreement between the simulation results and the experimental results for the copper cylindrical samples.

A Boundary-Element Method for Slamming Analysis

1982 ◽  
Vol 26 (02) ◽  
pp. 117-124
Author(s):  
Thomas L. Geers
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Element Analysis ◽  
Structure Interaction ◽  
The Finite Element Analysis ◽  
Computational Resources ◽  
Element Method

A boundary-element method for treatment of the fluid-structure interaction in slamming analysis is described. The method emphasizes simplicity and efficiency, so that the analyst may devote most of his computational resources to the analysis of the structure. Numerical results for a number of rigid-impactor problems are compared with analytical solutions and experimental data, and procedures for the finite-element analysis of flexible impactors are discussed.

Validation of UAV Wing Structural Model for Finite Element Analysis

2014 ◽  
Vol 71 (2) ◽  
Author(s):  
Gunasegaran Kanesan ◽  
Shuhaimi Mansor ◽  
Ainullotfi Abdul-Latif
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Model ◽  
Element Analysis ◽  
Actual Structure ◽  
Shell Elements ◽  
The Difference ◽  
Set Up ◽  
Element Method

Finite element method is increasingly used in the analysis of aircraft structures, including Unmanned Aerial Vehicles (UAVs). The structural model used for finite element analysis however needs to be validated in order to ensure that it correctly represents the physical behaviour of the actual structure. In this work, a case study of a straight, unswept and untapered wing structure made of composite material subjected to aerodynamic loading was modelled and analysed using finite element method. Four-noded, reduced integration shell elements were used, with structural components attached by adhesive joints modelled using tied surface constraints. For the validation process an experimental set-up of the actual wing was loaded using sandbags to simulate the aerodynamic loads. The deflection of the wing at three key locations were obtained and compared between both methods. It was found that the difference between both results ranges between 0.3% (at the tip) to 36.1% (near the root, for small deflections).

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