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

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.

Author(s):  
Lyudmila S. Polyakova ◽  
Vladimir I. Andreev

The aim of research is to compare two calculation methods using the example of solving the axisymmetric thermoelasticity problem. Methods. The calculation of a thick-walled cylindrical 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. The shell consists of three layers: two layers of heat-resistant concrete and an outer steel layer. 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. Results . Comparison of the calculation results is carried out according to the obtained values of ring stresses σθ.


Author(s):  
Er. Hardik Dhull

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.


2011 ◽  
Vol 138-139 ◽  
pp. 399-403
Author(s):  
Chun Liang Dong ◽  
Xiao Yu Lu

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.


2005 ◽  
Vol 2 (2) ◽  
pp. 157-162 ◽  
Author(s):  
Zlatko Kolondzovski ◽  
Lidija Petkovska

In the paper a determination of characteristics of a small salient pole synchronous generator (SG) is presented. Machine characteristics are determined via Finite Element Analysis (FEA) and for that purpose is used the software package FEMM Version 3.3. After performing their calculation and analysis, one can conclude that most of the characteristics presented in this paper can be obtained only by using the Finite Element Method (FEM).


Author(s):  
Teresa Grabiec-Mizera ◽  
Michał Kaczmarczyk ◽  
Mieczysław Kuczma

The aim of the paper is to present a global analysis of a precast, reinforced building structure. At the design stage, information about structural behaviour of particular elements and the whole structure as well as its response to applied loads are obtained. While solving the problem, the load-bearing elements and the type and deformability of connections have to be defined. The latter is especially significant in the case of precast structure models. Calculations according to the analytical method are going to be verified by the finite element method.


Author(s):  
K.T. Sherov ◽  
S.S. Aynabekova ◽  
S. O. Tusupova ◽  
A.A. Sagitov ◽  
E.B. Imanbaev

The results of a study of the thermofriction cutting-off method with pulsed cooling, obtained by modeling the process by the finite element method using the Machining module of the Deform 3D software package, are presented. The hypothesis put forward earlier about the cutting mechanism with this method is confirmed. Keywords thermofriction cutting-off, pulsed cooling, finite element method, cutting mechanism. [email protected]


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