scholarly journals Application of a new vector mode solver to optical fiber-based plasmonic sensors

2016 ◽  
Vol 30 (07) ◽  
pp. 1650075 ◽  
Author(s):  
V. A. Popescu ◽  
N. N. Puscas ◽  
G. Perrone
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Method ◽  
Distilled Water ◽  
The Finite Element Method ◽  
Plasmonic Sensor ◽  
Plasmonic Sensors ◽  
Vector Mode ◽  
Hankel Functions ◽  
The Difference

Our analytical method uses a linear combination of the Hankel functions [Formula: see text] and [Formula: see text] to represent the field in the gold region of a fiber-based plasmonic sensor. This method is applied for different structures made from three, four and five layers. When the analyte is distilled water, the difference between the resonant wavelengths calculated with the finite element method and the analytical method is very small (0.00 nm for three layers, 0.19 nm for four layers and 0.07 nm for five layers with two gold layers). The important characteristics of the Bessel and Hankel functions at the loss matching point are analyzed.

THE ROLE OF FINITE ELEMENT METHOD IN CIVIL ENGINEERING

2018 ◽  
Vol 5 (02) ◽  
Author(s):  
Er. Hardik Dhull
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Approximate Solution ◽  
Analytical Method ◽  
Civil Engineering ◽  
The Finite Element Method ◽  
Engineering Problems ◽  
Building Components ◽  
Element Method

The finite element method is a numerical method that is used to find solution of mathematical and engineering problems. It basically deals with partial differential equations. It is very complex for civil engineers to study various structures by using analytical method,so they prefer finite element methods over the analytical methods. As it is an approximate solution, therefore several limitationsare associated in the applicationsin civil engineering due to misinterpretationof analyst. Hence, the main aim of the paper is to study the finite element method in details along with the benefits and limitations of using this method in analysis of building components like beams, frames, trusses, slabs etc.

scholarly journals The Search of Spatial Functions of Pressure in Adjustable Hydrostaticradial Bearing

2015 ◽  
Vol 9 (1) ◽  
pp. 23-26 ◽  
Author(s):  
Dmytro Fedorynenko ◽  
Sergiy Boyko ◽  
Serhii Sapon
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Elastic Deformation ◽  
Tangential Direction ◽  
The Finite Element Method ◽  
Radial Bearing ◽  
Operational Characteristics ◽  
Service Conditions ◽  
The Difference ◽  
Element Method

Abstract The analysis of spatial functions of pressure considering the geometrical deviations and the elastic deformation of conjugate surace have been considered. The analysis of spatial functions of pressure is performed by the finite element method. The difference of the size of pressure in a tangential direction of a pocket of a support under various service conditions has been investigated. A recommendation for improving of operational characteristics in regulated hydrostatic radial bearing has been developed.

scholarly journals Calculation of radial inhomogeneity cylindrical shell when exposed to high temperatures by numerical-analytical method and fem

2019 ◽  
Vol 135 ◽  
pp. 01037
Author(s):  
Vladimir Andreev ◽  
Lyudmila Polyakova
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Method ◽  
Software Package ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Infinite Cylinder ◽  
The Finite Element Method ◽  
Numerical Analytical Method ◽  
Element Method

The purpose of the work is to compare two calculation methods using the example of solving the axisymmetric thermoelasticity problem. The calculation of a thick-walled cylindrical three-layer shell on the temperature effect was carried out by the numerical-analytical method and the finite element method implemented in the LIRA-CAD software package. In the calculation, a piecewise linear inhomogeneity of the shell due to its three-layer structure and continuous inhomogeneity caused by the influence of a stationary temperature field is taken into account. The numerical-analytical method of calculation involves the derivation of a resolving differential equation, which is solved by the sweep method, it is possible to take into account the nonlinear nature of the deformation of the material using the method of successive approximations. To solve this problem by the finite element method, a similar computational model of the shell was constructed in the LIRA-CAD software package. The solution of the problem of thermoelasticity for an infinite cylinder (under conditions of a plane deformed state) and for a cylinder of finite length with free ends is given. Comparison of the calculation results is carried out according to the obtained values of ring stresses.

Modelling of ballraceway contacts in a slewing bearing with non-linear springs

2011 ◽  
Vol 225 (4) ◽  
pp. 827-831 ◽  
Author(s):  
X H Gao ◽  
X D Huang ◽  
H Wang ◽  
J Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Contact Area ◽  
The Finite Element Method ◽  
Simple Method ◽  
Slewing Bearing ◽  
Combined Loads ◽  
Non Linear ◽  
The Difference ◽  
Supporting Structures

During the operation, a slewing bearing is always subjected to a set of combined loads. It is the source of deformation of ballraceway contacts, rings, and even supporting structures. In practice, deformation of rings and supporting structures is often neglected for simplification, that is, they are supposed to be ideally stiff. To take elasticity of rings and supporting (fixed) structures into consideration, the finite-element method (FEM) is applied. Due to hundreds of contact pairs and the difference in the scale of contact area and rings or supporting structures, it is difficult to simultaneously model both local ballraceway contacts and the global slewing rings in a slewing bearing. The article developed a simple method to solve the problem, where the contacts are replaced by non-linear springs.

scholarly journals Comparative analysis of finite element formulations at plane loading of an elastic body

2020 ◽  
Vol 16 (2) ◽  
pp. 139-145
Author(s):  
Natalia A. Gureeva ◽  
Anatoly P. Nikolaev ◽  
Vladislav N. Yushkin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Elastic Body ◽  
Stiffness Matrix ◽  
Strain State ◽  
Mixed Formulation ◽  
The Finite Element Method ◽  
Displacement Method ◽  
Internal Forces ◽  
The Difference

The aim of the work - comparison of the results of determining the parameters of the stress-strain state of plane-loaded elastic bodies based on the finite element method in the formulation of the displacement method and in the mixed formulation. Methods. Algorithms of the finite element method in various formulations have been developed and applied. Results. In the Cartesian coordinate system, to determine the stress-strain state of an elastic body under plane loading, a finite element of a quadrangular shape is used in two formulations: in the formulation of the method of displacements with nodal unknowns in the form of displacements and their derivatives, and in a mixed formulation with nodal unknowns in the form of displacements and stresses. The approximation of displacements through the nodal unknowns when obtaining the stiffness matrix of the finite element was carried out using the form function, whose elements were adopted Hermite polynomials of the third degree. Upon receipt of the deformation matrix, the displacements and stresses of the internal points of the finite element were approximated through nodal unknowns using bilinear functions. The stiffness matrix of the quadrangular finite element in the formulation of the displacement method is obtained on the basis of a functional based on the difference between the actual workings of external and internal forces under loading of a solid. The matrix of deformation of the finite element was formed on the basis of a mixed functional obtained from the proposed functional by repla-cing the actual work of internal forces with the difference between the total and additional work of internal forces when loading the body. The calculation example shows a significant advantage of using a finite element in a mixed formulation.

Mixed Method to Calculate the Sluice Plate on Complicated Foundation

2011 ◽  
Vol 138-139 ◽  
pp. 399-403
Author(s):  
Chun Liang Dong ◽  
Xiao Yu Lu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interaction Effect ◽  
Mixed Method ◽  
Analytical Method ◽  
Internal Force ◽  
The Finite Element Method ◽  
Principle Of Superposition ◽  
Element Method

In order to calculate the interaction between complicated foundation and sluice plate conveniently, an effective method was proposed to solve this problem in the paper. This method regarded the sluice plate and foundation as two substructures, which are connected with chain-bars. The unit displacement of the sluice plate and the settlement of the foundation surface are calculated by the analytical method and the finite element method, respectively. And the counter-force of the foundation is calculated by the mixed method. At the same time, the displacement and internal force are calculated by the principle of superposition. All the results reflect the interaction effect between the sluice plate and foundation fairly good.

A Study on Damping of Laminated Beams by Modal Analysis

2013 ◽  
Vol 550 ◽  
pp. 33-40
Author(s):  
Djamel Bensahal ◽  
Mohamed Nadir Amrane ◽  
Mounir Kharoubi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Modal Analysis ◽  
Beam Element ◽  
Structural Damping ◽  
The Finite Element Method ◽  
Cyclic Tests ◽  
Laminated Beams ◽  
The Difference ◽  
Element Method

The paper presents an analysis of the damping of laminated beams with four different stacking sequences. The experimental investigation was conducted using tensile cyclic tests for different laminates studied. The impulse technique was chosen to perform modal analysis of the ease of implementation and quickness of the test. The numerical analysis is performed by the finite element method using beam element. The difference between strain energies for both cases damaged and undamaged are calculated by the finite element method. The structural damping of the different beams is evaluated from these energies. The decrease in frequency for different rates of loading shows the loss of stiffness for all materials studied.

The Analysis on Effect of the Terrain to the Culverts Stress by the Finite Element Method

2012 ◽  
Vol 212-213 ◽  
pp. 643-646
Author(s):  
Qing Jiang ◽  
Huan Jun Lai ◽  
Zhi Zhong Su
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
The Finite Element Method ◽  
Filling Height ◽  
Homogeneous Complex ◽  
Non Linear ◽  
Complex Boundary ◽  
The Difference ◽  
Element Method

Highlight advantages of the finite element method is suitable for non-linear, non-homogeneous, complex boundary conditions. The paper adopts the finite element method to analysis culvert stress in Valley terrain. Gain that when the filling height H=40 meters, considering the valley topography calculated Ks=1.19, otherwise the Ks=1.435, the difference is about 17%. Therefore, the effects of the valley terrain to the high embankment culvert can not be ignored.

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