Superconvergence Analysis of Finite Element Method for Onlinear Klein-Gordon Equation

2014 ◽  
Vol 527 ◽  
pp. 343-346
Author(s):  
Yu Shi ◽  
Hong Ling Meng ◽  
Qian Jia ◽  
Dong Yang Shi
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Gordon Equation ◽  
High Accuracy ◽  
Accuracy Analysis ◽  
Element Analysis ◽  
Klein Gordon ◽  
Indispensable Tool ◽  
Klein Gordon Equation

The standard finite elements of degree p over the rectangular meshes are applied to a non-linear Klein-Gordon equation. By utilizing the properties of interpolation on the element, high accuracy analysis and derivative delivery techniques with respect to time t instead of the traditional Ritz projection operator, which is an indispensable tool in the traditional finite element analysis, the supercloseproperty with order is obtained. Furthermore, the superconvergence result is derived through the postprocessing approach.

Tire Cornering Simulation Using an Explicit Finite Element Analysis Code

1998 ◽  
Vol 26 (2) ◽  
pp. 109-119 ◽  
Author(s):  
M. Koishi ◽  
K. Kabe ◽  
M. Shiratori
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Test System ◽  
Experimental Results ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Explicit Finite Element ◽  
Explicit Finite Element Analysis ◽  
Element Method

Abstract The finite element method has been used widely in tire engineering. Most tire simulations using the finite element method are static analyses, because tires are very complex nonlinear structures. Recently, transient phenomena have been studied with explicit finite element analysis codes. In this paper, the authors demonstrate the feasibility of tire cornering simulation using an explicit finite element code, PAM-SHOCK. First, we propose the cornering simulation using the explicit finite element analysis code. To demonstrate the efficiency of the proposed simulation, computed cornering forces for a 175SR14 tire are compared with experimental results from an MTS Flat-Trac Tire Test System. The computed cornering forces agree well with experimental results. After that, parametric studies are conducted by using the proposed simulation.

Finite Element Analysis of the Forging Process for Half-Shaft Bushing

2009 ◽  
Vol 16-19 ◽  
pp. 1248-1252
Author(s):  
Chun Dong Zhu ◽  
Man Chun Zhang ◽  
Lin Hua
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Numerical Calculation ◽  
Two Dimensional ◽  
Element Analysis ◽  
Forging Process ◽  
Die Life ◽  
Dimensional Finite Element ◽  
Forging Force

As an important forged part of an automobile, the inner hole of the half-shaft bushing must be formed directly. However, the process requires many steps, and how the forging, or deformation, is spread over the production steps directly affects the die life and forging force required. In this paper, the three steps involved in directly forging a half shaft bushing's inner hole are simulated using the two-dimensional finite element method. Further more, we improve the forging process. From numerical calculation, the improved necessary forging force is found to be only half the original force, and the die life is doubled.

Finite Element Analysis of the Effect of Particle Shape on the Thermal Conductivity in Diamond/Cu Composites

2014 ◽  
Vol 788 ◽  
pp. 689-692
Author(s):  
Hong Guo ◽  
Yuan Yuan Han ◽  
Xi Min Zhang ◽  
Fa Zhang Yin ◽  
Ye Ming Fan ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Thermal Resistance ◽  
Particle Shape ◽  
Finite Element Calculation ◽  
Element Calculation ◽  
Element Analysis ◽  
Result Show

The effect of diamond shape on the thermal conductivity of diamond/Cu composites was studied by combine finite element method with the tests. The finite element result show that the thermal conductivity of the hexoctahedron diamond/Cu composites and the square diamond/Cu composites is 819 W/m·K and 1013 W/m·K respectively. And the testing results indicate that the thermal conductivity of the single hexoctahedron diamond/Cu composites and the hexoctahedron mixed with the square diamond/Cu composites is 659W/m·K and 720 W/m·K respectively. The testing results consist with the finite element calculation. Under the same circumstances, more {100} faces can bring in less overall thermal resistance in the composites thus improve the thermal conductivity of the composites. The results show that using square diamond particles helps to improve the thermal conductivity of diamond/Cu composites.

Finite Element Analysis of Ground Imitating Tank

2005 ◽  
Author(s):  
Jiemin Liu ◽  
Guangtao Ma
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Dead Weight ◽  
Element Analysis ◽  
Thin Walled ◽  
The Dead ◽  
Stress And Deformation ◽  
Inertia Forces ◽  
Element Method

A typical ground imitating tank is analyzed regarding it as the thin-walled structure composed of plates (skins) and beams (reinforcement) using finite element method (FEM). Through moving the location of reinforcements, make the skins close with the flanges of the reinforcements in order to imitate actually the connection of the skins and the reinforcements. The thickness of plates, the size and the geometry shape and the location of reinforcements are taken as parameters to be optimized. In calculation, not only consider effects of the oil-weight, the extra-pressure in tank and the dead weight of the tank on the stresses and displacements of the tank, but also analyze the effects of the inertia forces produced due to the rotation of the tank on the stresses and displacements. Displacement, stress and deformation distributions of the ground imitating tank under the three typical flying postures imitated are given.

Finite Element Calculation of Sintering Deformation Using Limited Experimental Data

2008 ◽  
Vol 606 ◽  
pp. 103-118 ◽  
Author(s):  
Jing Zhe Pan ◽  
Ruo Yu Huang
Keyword(s):  
Experimental Data ◽  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Ceramic Powder ◽  
Material Model ◽  
Element Analysis ◽  
Ceramic Components ◽  
On Line ◽  
Element Method

Predicting the sintering deformation of ceramic powder compacts is very important to manufactures of ceramic components. In theory the finite element method can be used to calculate the sintering deformation. In practice the method has not been used very often by the industry for a very simple reason – it is more expensive to obtain the material data required in a finite element analysis than it is to develop a product through trial and error. A finite element analysis of sintering deformation requires the shear and bulk viscosities of the powder compact. The viscosities are strong functions of temperature, density and grain-size, all of which change dramatically in the sintering process. There are two ways to establish the dependence of the viscosities on the microstructure: (a) by using a material model and (b) by fitting the experimental data. The materials models differ from each other widely and it can be difficult to know which one to use. On the other hand, obtaining fitting functions is very time consuming. To overcome this difficulty, Pan and his co-workers developed a reduced finite element method (Kiani et. al. J. Eur. Ceram. Soc., 2007, 27, 2377-2383; Huang and Pan, J. Eur. Ceram. Soc., available on line, 2008) which does not require the viscosities; rather the densification data (density as function of time) is used to predict sintering deformation. This paper provides an overview of the reduced method and a series of case studies.

Finite-Element Analysis of Magnetoelastic Buckling of Ferromagnetic Beam Plate

1980 ◽  
Vol 47 (2) ◽  
pp. 377-382 ◽  
Author(s):  
K. Miya ◽  
T. Takagi ◽  
Y. Ando
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Experimental Results ◽  
The Finite Element Method ◽  
Magnetic Torque ◽  
Element Analysis ◽  
Element Method

Some corrections have been made hitherto to explain the great discrepancy between experimental and theoretical values of the magnetoelastic buckling field of a ferromagnetic beam plate. To solve this problem, the finite-element method was applied. A magnetic field and buckling equations of the ferromagnetic beam plate finite in size were solved numerically assuming that the magnetic torque is proportional to the rotation of the plate and by using a disturbed magnetic torque deduced by Moon. Numerical and experimental results agree well with each other within 25 percent.

Finite Element Analysis of 6-Wing Synchronous Rotor in the Mixing Process

2012 ◽  
Vol 271-272 ◽  
pp. 1291-1295
Author(s):  
Cai Jun Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Analysis ◽  
Mixing Process ◽  
Element Analysis ◽  
Strain Stress ◽  
Design Requirements ◽  
Element Method

By use of finite element method to analyze the strength of 6-wing synchronous rotor, and illustrate the change of parameters regarding strain, stress and displacement etc. so as to visually see whether the designed rotor will reach the design requirements; meanwhile, through structural analysis, to provide guidance for the further optimization of designing for 6-wing synchronous rotor.

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