scholarly journals Energy of Accelerations Used to Obtain the Motion Equations of a Three- Dimensional Finite Element

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 321 ◽  
Author(s):  
Sorin Vlase ◽  
Iuliu Negrean ◽  
Marin Marin ◽  
Maria Luminița Scutaru
Keyword(s):  
Finite Element ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Method Of Calculation ◽  
Elastic Systems ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Multi Body ◽  
Elastic Elements

When analyzing the dynamic behavior of multi-body elastic systems, a commonly used method is the finite element method conjunctively with Lagrange’s equations. The central problem when approaching such a system is determining the equations of motion for a single finite element. The paper presents an alternative method of calculation theses using the Gibbs–Appell (GA) formulation, which requires a smaller number of calculations and, as a result, is easier to apply in practice. For this purpose, the energy of the accelerations for one single finite element is calculated, which will be used then in the GA equations. This method can have advantages in applying to the study of multi-body systems with elastic elements and in the case of robots and manipulators that have in their composition some elastic elements. The number of differentiation required when using the Gibbs–Appell method is smaller than if the Lagrange method is used which leads to a smaller number of operations to obtain the equations of motion.

Nonlinear Model on Torsional Behaviors of CFRP Strengthened Reinforced Concrete Beams

2008 ◽  
Vol 47-50 ◽  
pp. 881-885
Author(s):  
Werasak Raongjant ◽  
Meng Jing
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Reinforced Concrete Beams ◽  
Fiber Reinforced Polymer ◽  
Beam Model ◽  
The Finite Element Method ◽  
Reinforced Polymer ◽  
Linear String ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element

In this paper, a reasonable three dimensional finite element beam model was developed to predict the mechanical behaviors of carbon fiber reinforced polymer (CFRP) strengthened RC box beam under combined bending, shear and torque. The comparison of calculated results with the experiment results of torque-twist relationship, the strain developments in steels and CFRP strips and the force of non-linear string element indicates that the finite element method presented in this study can simulate the behavior of beams well.

scholarly journals Maggi’s Equations Used in the Finite Element Analysis of the Multibody Systems with Elastic Elements

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 399 ◽  
Author(s):  
Sorin Vlase ◽  
Marin Marin ◽  
Maria Luminița Scutaru
Keyword(s):  
Finite Element ◽  
Multibody Systems ◽  
Equations Of Motion ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Main Method ◽  
The Finite Element Analysis ◽  
Elastic Systems ◽  
Lagrange’S Multipliers ◽  
Elastic Elements

The main method used to determine the equations of motion of a multibody system (MBS) with elastic elements is the method of Lagrange’s multipliers. The assembly of equations for the whole system represents an important step in the elastodynamic analysis of such a system. This paper presents a new method of approaching this stage, by applying Maggi’s equations. In this way, the links that exist between the finite elements and the connections that exist between different bodies of the MBS system are conveniently taken into account, each body having a distinct velocity and acceleration field. Although Maggi’s equations have been used, sporadically, in some applications so far, we are not aware that they have been used in the study of elastic systems using the finite element method. Finally, an algorithm is presented that uses the Maggi formalism to obtain the equations of motion for an MBS system.

Stress Distribution of the Variable Dynamic Loading in the Dental Implant: A Three-Dimensional Finite Element Analysis

2017 ◽  
Vol 31 ◽  
pp. 44-52 ◽  
Author(s):  
Noureddine Djebbar ◽  
B. Serier ◽  
Bel Abbès Bachir Bouiadjra
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Loading ◽  
Equivalent Stress ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Chewing Activity

Stable osseointegration between implant threads and the surrounding marginal bone provides the mechanical base of an implant for daily chewing activity. The contact area of implant-bone interfaces and the concentrated stresses on the marginal bones are principal concerns of implant designers. In this work we numerically analyze by the finite element method the distribution of the equivalent stress and their level in the bone the most fragile element of the dental prosthesis. Each set of the model contained a crown, framework, abutment, implant and bone, subjected to variable dynamic loading according to time.

Three-Dimensional Finite Element Modelling of Forging of a Titanium Alloy Aerofoil Sectioned Blade

1999 ◽  
Vol 121 (3) ◽  
pp. 366-371 ◽  
Author(s):  
Z. M. Hu ◽  
J. W. Brooks ◽  
T. A. Dean
Keyword(s):  
Finite Element ◽  
Good Accuracy ◽  
Hot Forging ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Die Surface ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Hot Die Forging ◽  
Forging Load

Analysis of the forging of aerofoil blades, particularly those for aeroengines, is a complex operation because of the complicated three-dimensional geometry and the non steady-state contact between the workpiece and the die surface. In this paper a three-dimensional analysis of the hot forging of a titanium compressor blade, currently being made and used commercially, using the finite element method is presented and validated by the results from hot-die forging tests. The process is modelled assuming isothermal conditions, the main interest being the mechanics of the deformation. Abaqus/Explicit FE software has been used for process simulation in which the complicated die form, assumed rigid, has been modelled using smoothed Bezier surfaces which enable die/workpiece contact phenomena to be handled effectively. Predicted strain patterns in sections of forging, using either 2-D or 3-D analysis are compared. It is shown that the experimental forging load and the overall flow pattern are predicted by the analysis with good accuracy.

scholarly journals Three-dimensional Finite Element Modelling of the Cylindrical Specimen Upsetting

2018 ◽  
Vol 220 ◽  
pp. 04008 ◽  
Author(s):  
Mikhail V. Murashov ◽  
Andrey V. Vlasov
Keyword(s):  
Finite Element ◽  
Metal Forming ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Numerical Errors ◽  
Finite Element Software ◽  
Dimensional Finite Element ◽  
Calculation Results ◽  
Three Dimensional Finite Element ◽  
Good Agreement

Friction has a substantial influence on the metal forming at upsetting of cylindrical aluminum specimens. The finite element method is often used to investigate this problem. This paper aims to reveal possible numerical errors and obstacles related to the 3D finite element solution of the problem. The calculation results for the proposed numerical 3D-model are compared with the experimental data. The influence of friction is demonstrated and a good agreement on the tool displacement is obtained. The features of the numerical solution of the problem in the ANSYS finite element software are shown.

Finite Element Analysis of Nonuniformity of Tires with Imperfections5

2007 ◽  
Vol 35 (3) ◽  
pp. 226-238 ◽  
Author(s):  
K. M. Jeong ◽  
K. W. Kim ◽  
H. G. Beom ◽  
J. U. Park
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Three Dimensional ◽  
Element Model ◽  
Radial Force ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Dimensional Finite Element ◽  
Force Variation ◽  
Three Dimensional Finite Element

Abstract The effects of variations in stiffness and geometry on the nonuniformity of tires are investigated by using the finite element analysis. In order to evaluate tire uniformity, a three-dimensional finite element model of the tire with imperfections is developed. This paper considers how imperfections, such as variations in stiffness or geometry and run-out, contribute to detrimental effects on tire nonuniformity. It is found that the radial force variation of a tire with imperfections depends strongly on the geometrical variations of the tire.

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