p-Version Incompressible Lubrication Finite Element Analysis of Large Width Bearings

1991 ◽  
Vol 113 (1) ◽  
pp. 116-119 ◽  
Author(s):  
S. H. Nguyen
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Pressure Field ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Element Analysis ◽  
Numerical Examples ◽  
Arbitrary Polynomial ◽  
Large Width

This paper presents a p-version finite element formulation for incompressible lubrication analyses where the pressure field can be of any arbitrary polynomial of order p. The formulation ensures the C° continuity between mating element boundaries. Numerical examples are provided to demonstrate the simplicity of modeling and the accuracy of the formulation.

Finite Element Analysis of Rotational Contact-Impact Behavior of a Geared Rotor System

1996 ◽  
Author(s):  
Makoto Tanabe ◽  
Chen Jie Jiang ◽  
Koya Takazawa
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Present Method ◽  
Rotor System ◽  
Impact Behavior ◽  
Experimental Result ◽  
Element Formulation ◽  
Element Analysis ◽  
Numerical Examples ◽  
Contact Impact

Abstract A simple and efficient finite element formulation and numerical method to solve it for the rotational contact-impact behavior of a geared rotor system are given. A gear element is devised to model the contact-impact behavior between gears in which the irregularity of tooth pitch is also considered. A computer program has been developed to solve this problem. Numerical examples of an electric disk grinder are demonstrated and compared with the experimental result to show the effectiveness of the present method.

Numerical simulation of EPS geofoam behaviour in triaxial tests

2015 ◽  
Vol 32 (5) ◽  
pp. 1372-1390 ◽  
Author(s):  
Sanka Dilshan Ekanayake ◽  
D.S. Liyanapathirana ◽  
Chin Jian Leo
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Constitutive Model ◽  
Finite Element Formulation ◽  
Triaxial Tests ◽  
Element Formulation ◽  
Short Term ◽  
Element Analysis ◽  
Eps Geofoam ◽  
Content Type

Purpose – EPS geofoam has been widely used in embankment construction, slope stabilisation, retaining walls, bridge approaches and abutments. Nevertheless, the potential of EPS geofoam as an engineering material in geotechnical applications has not been fully realised yet. The purpose of this paper is to present the finite element formulation of a constitutive model based on the hardening plasticity, which has the ability to simulate short-term behaviour of EPS geofoam, to predict the mechanical behaviour of EPS geofoam and it is implemented in the finite element programme ABAQUS. Design/methodology/approach – Finite element formulation is presented based on the explicit integration scheme. Findings – The finite element formulation is verified using triaxial test data found in the literature (Wong and Leo, 2006 and Chun et al., 2004) for two varieties of EPS geofoam. Performance of the constitute model is compared with four other models found in the literature and results confirm that the constitutive model used in this study has the ability to simulate the short-term EPS geofoam behaviour with sufficient accuracy. Research limitations/implications – This research is focused only on the short-term behaviour of EPS geofoam. Experimental studies will be carried out in future to incorporate effects of temperature and creep on the material behaviour. Practical implications – This formulation will be applicable to finite element analysis of boundary value problems involving EPS geofoam (e.g. application of EPS geofoam in ground vibration isolation, retaining structures as compressible inclusions and stabilisation of slopes). Originality/value – Finite element analysis of EPS geofoam applications are available in the literature using elastic perfectly plastic constitutive models. However, this is the first paper presenting a finite element application utilising a constitutive model specifically developed for EPS geofoam.

Structural-Acoustic Vibration Reduction Using Switched Shunt Piezoelectric Patches: A Finite Element Analysis

2010 ◽  
Vol 132 (5) ◽  
Author(s):  
Walid Larbi ◽  
Jean-François Deü ◽  
Monica Ciminello ◽  
Roger Ohayon
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Vibration Reduction ◽  
Coupled System ◽  
Acoustic Vibration ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Element Analysis ◽  
Acoustic Cavity ◽  
Acoustic Fluid

In this paper, we present a finite element formulation for vibration reduction in structural-acoustic systems using passive or semipassive shunt techniques. The coupled system consists of an elastic structure (with surface-mounted piezoelectric patches) filled with an inviscid linear acoustic fluid. An appropriate finite element formulation is derived. Numerical results for an elastic plate coupled to a parallelipedic air-filled interior acoustic cavity are presented, showing the performances of both the inductive shunt and the synchronized switch shunt techniques.

Finite Element Analysis of Kinematics and Dynamics of Linkages

2005 ◽  
Author(s):  
Jiaxin Zhao
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Angular Position ◽  
Finite Element Formulation ◽  
Kinematics And Dynamics ◽  
Element Formulation ◽  
Element Analysis ◽  
Joint Forces ◽  
Element Approach ◽  
Close Form

The kinematics and dynamics of two dimensional linkages is analyzed using an uniformed finite element approach in this paper. Each link in the linkage is a naturally discretized finite element and the joints are the nodes connecting elements. The analysis consists of two parts, namely the kinematics part and the dynamics part. In the first kinematics part, positions, linear velocities and linear accelerations of the joints are used as the solution variables in the finite element formulation. In order to have close-form solutions, the linkage must have only one degree of freedom. These joint variables are then solved for each input link configuration of angular position, velocity and acceleration. The angular positions, velocities and accelerations of the other links are then calculated from the joint variables. The position, linear velocity and acceleration of any point on the linkage, like the center of gravity for a particular link, can also be determined if desired. The second dynamics part uses joint forces as the solution variables in the finite element formulation. In each element, a third node is also defined to allow an external force or torque to be applied. Based on the solutions in the first kinematics part, the joint forces are solved for each input configuration. The forces inside each link can then be determined from the joint forces. A MATLAB program is developed for this finite element analysis on general four bar linkages and is posted on the author’s webpage.

Research and Applications of a Plane Embedded Combined Element Model Considering Bond and Slip

2013 ◽  
Vol 275-277 ◽  
pp. 1296-1301
Author(s):  
Ji Wei Wang ◽  
Qin Qin Qiao ◽  
Fei Leng
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Shear Deformation ◽  
Element Model ◽  
Beam Element ◽  
Shape Functions ◽  
Element Analysis ◽  
Bond Slip ◽  
Numerical Examples ◽  
Nodal Force

It is one of the most important issues for finite element analysis of lining structures that how to describe anchor rod reasonably and effectively and simulate the interaction between rod and concrete or rock. Virtual nodes are constructed in concrete/rock element at the ends of anchor rod and bond-slip element is set between virtual nodes and beam element which describes anchor rod. An embedded combined element with bond slip and shear deformation is established through the transformation of nodal force at nodes of bond-slip element to those of concrete/rock element via shape functions. The element is convenient for meshing element because the location and direction of anchor rod are not necessary to be considered. Meanwhile, the element has the advantage of low computing cost. Finally, the validity and efficiency are verified by numerical examples.

scholarly journals Multiscale analysis of instabilities in heterogeneous materials using ANM and multilevel FEM

2012 ◽  
Author(s):  
Saeid Nezamabadi ◽  
Hamid Zahrouni ◽  
Julien Yvonnet ◽  
Michel Potier-Ferry
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Multiscale Analysis ◽  
Numerical Technique ◽  
Constitutive Relations ◽  
Heterogeneous Materials ◽  
Perturbation Approach ◽  
Element Analysis ◽  
Numerical Examples ◽  
Asymptotic Numerical Method

In this study, we propose a numerical technique which combines a perturbation approach (asymptotic numerical method) and a multilevel finite element analysis. This procedure allows dealing with instability phenomena in the context of heterogeneous materials where buckling may occur at both macroscopic and/or microscopic scales. Different constitutive relations are applied and geometrical non-linearity is taken into account at both scales. Numerical examples involving instabilities at both micro and macro levels are presented.

Finite Element Analysis Over Tangled Meshes

2012 ◽  
Author(s):  
Josh Danczyk ◽  
Krishnan Suresh
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Functional Space ◽  
Mesh Optimization ◽  
Element Formulation ◽  
Shape Functions ◽  
Element Analysis ◽  
Patch Tests ◽  
Galerkin Formulation ◽  
Element Shape

In finite element analysis (FEA), tasks such as mesh optimization and mesh morphing can lead to overlapping elements, i.e., to a tangled mesh. Such meshes are considered ‘unacceptable’ today, and are therefore untangled using specialized procedures. Here it is shown that FEA can be easily extended to handle tangled meshes. Specifically, by defining the nodal functional space as an oriented linear combination of the element shape functions, it is shown that the classic Galerkin formulation leads to a valid finite element formulation over such meshes. Patch tests and numerical examples illustrate the correctness of the proposed methodology.

Development of A Three-Dimensional Membrane Element for the Finite Element Analysis of Tires

1991 ◽  
Vol 19 (1) ◽  
pp. 23-36 ◽  
Author(s):  
K. Ishihara
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Computing Time ◽  
Three Dimensional ◽  
Complex Nature ◽  
Element Formulation ◽  
Membrane Element ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Modeling Strategy

Abstract A three-dimensional membrane element was developed for the finite element analysis of tires. In general, the three-dimensional finite element analysis of tires uses a lot of computing time because of the complex nature of the problem. Major sources of complexity are, for example, nonlinearities in kinematics, material properties, boundary conditions, and the multilayer structure which is inherent to the tire. One of the ways to overcome this situation can be in the modeling strategy. This paper describes an approach where the cord-rubber composite components of the tire are modeled by membrane elements. The number of nodes required in the tire model using this strategy is considerably reduced, without any loss of accuracy, compared with models in which only ordinary solid elements are used. The nonlinear finite element formulation, numerical examples, and a comparison of the results with those obtained from models using solid elements and experimental values are given in the paper.

Structural Acoustic Problems With Absorbent Layers Within Laminated Composite Enclosures

2006 ◽  
Vol 128 (6) ◽  
pp. 705-712 ◽  
Author(s):  
Arup Guha Niyogi
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Free Vibration ◽  
Laminated Composite ◽  
Transverse Shear Deformation ◽  
Element Formulation ◽  
Structural Damping ◽  
Element Analysis ◽  
First Order ◽  
Acoustic Domain

Studies on coupled structural acoustic problems within laminated composite enclosures are presented. Isoparametric quadratic boundary element formulation for the acoustic domain is coupled to the structural properties of the enclosure through mobility relations obtained from free vibration finite element analysis of the dry enclosure visualized as a folded plate with first order transverse shear deformation and rotary inertia. Velocity amplitudes and forcing frequency is specified over certain parts of the boundary. The rest is interactive boundary. Absorbent layers at the boundary are accommodated through admittance relation. Results show that impact of absorbent layers is frequency dependent while modifying structural damping has a better prospect.

Finite Element Analysis of Sloshing in Horizontal-Cylindrical Industrial Vessels Under Earthquake Loading

2005 ◽  
Author(s):  
M. A. Platyrrachos ◽  
S. A. Karamanos
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Numerical Solutions ◽  
Fluid Motion ◽  
Element Formulation ◽  
Element Analysis ◽  
Seismic Force ◽  
Current Design ◽  
Cylindrical Tanks ◽  
Horizontal Cylinders

The present paper presents a finite-element formulation for earthquake-induced sloshing in horizontal-cylindrical industrial vessels. Assuming small-amplitude free-surface elevation, a linearized sloshing problem is obtained, which provides very good results in comparison with other analytical or numerical solutions, and available experimental data. The paper is aimed at calculating sloshing frequencies, as well as sloshing transient response under horizontal seismic excitation. Based on an “impulsive-convective” decomposition of the container-fluid motion, an efficient methodology is proposed for the calculation of the total seismic force, through the corresponding sloshing masses. The results from the present finite element analysis offers an efficient tool for predicting the total seismic force in horizontal cylinders and extends the current design practice for vertical cylindrical tanks stated in existing seismic design specifications.

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