scholarly journals Numerical Analysis of Linear and Nonlinear Time-Fractional Subdiffusion Equations

2019 ◽  
Vol 1 (4) ◽  
pp. 621-637 ◽  
Author(s):  
Yubo Yang ◽  
Fanhai Zeng
Keyword(s):  
Numerical Analysis ◽  
Linear And Nonlinear

Application of Data Visualization and Numerical Analysis for Evaluating Propagation of Uncertainty

2011 ◽  
Vol 103 ◽  
pp. 343-347
Author(s):  
Xin Bian ◽  
Xin Zhou ◽  
Hong Fang ◽  
Ke Liu ◽  
Xiao Chuan Gan ◽  
...  
Keyword(s):  
Quantitative Analysis ◽  
Numerical Analysis ◽  
Data Visualization ◽  
Appropriate Use ◽  
Propagation Of Uncertainty ◽  
Use Of Data ◽  
Accurate Quantitative Analysis ◽  
Key Factor ◽  
Linear And Nonlinear ◽  
Using Data

Propagation of uncertainty is a key factor in uncertainty evaluation. We propose a method using data visualization and numerical analysis for evaluating propagation of uncertainty. In this paper, the main stages of the method are described. Then, the implementation of the method in linear and nonlinear model is illustrated through some examples. These examples show appropriate use of data visualization and numerical analysis can be helpful to provide a concise qualitative overview and accurate quantitative analysis for the uncertainty.

Stability of Elastic Orthotropic Circular Cylindrical Vessels

2010 ◽  
Author(s):  
Krzysztof Magnucki ◽  
Leszek Wittenbeck
Keyword(s):  
Numerical Analysis ◽  
Critical Pressure ◽  
Linear Analysis ◽  
External Pressure ◽  
Second Step ◽  
Nonlinear Buckling ◽  
Post Buckling ◽  
Analytical Formulas ◽  
Linear And Nonlinear ◽  
Nonlinear Buckling Analysis

This paper is devoted to stability investigation of orthotropic circular cylindrical vessels subjected to external pressure. An untypical orthotropic structure that consist of two layers: smooth-external and corrugated-internal is proposed. The investigation is divided into two steps. In first one analytical formulas describing buckling behaviour are derived. In second step numerical analysis is performed by using FEM to obtain the correlation between analytical and numerical results. Authors also considered linear and nonlinear buckling analysis. During the linear analysis the influence of vessel geometry on critical pressure is determined. Nonlinear analysis is carried out to create equilibrium paths which show the behaviour of vessels in post-buckling state. The results of the analysis are presented in figures.

Introductory remarks

1971 ◽  
Vol 323 (1553) ◽  
pp. 153-153
Keyword(s):  
Social Sciences ◽  
Numerical Analysis ◽  
Numerical Methods ◽  
Future Development ◽  
Applied Mathematics ◽  
Numerical Techniques ◽  
Nonlinear Algebra ◽  
The Social ◽  
Linear And Nonlinear ◽  
Good Order

Over the last decade the use of numerical techniques for the solution of the problems of physics, engineering, chemistry, biology and the social sciences has increased by leaps and bounds, and it was felt that the time was ripe for holding a Discussion Meeting on some topic in numerical analysis. This was intended not merely to provide an opportunity for experts in the field to get together, since there are many specialized meetings in numerical analysis these days. The aim was rather to give scientists in general who are interested in numerical methods a chance to find out what is being done, so that they can make greater use of this work and hopefully influence its future development. After some deliberation I decided on partial differential equations as the topic, in spite of the fact that it is not an area in which I have made any direct contribution in recent years. This is because I believe it to be one of the most important and challenging fields; indeed the solution of systems of p. d. es lies at the very heart of the problems of applied mathematics. Long after we have the more basic fields of linear and nonlinear algebra and approximation theory in good order the problems arising in the solution of p. d. es will still be with us. The work that has been done in numerical analysis may then appear as a preliminary sharpening up of the tools we are to use.

scholarly journals Stiffening material impact on the work of thin-walled element

2019 ◽  
Vol 252 ◽  
pp. 07009
Author(s):  
Katarzyna Falkowicz
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Software Package ◽  
Epoxy Composite ◽  
Static Compression ◽  
The Subject ◽  
Linear And Nonlinear ◽  
Thin Walled ◽  
Quasi Static Compression

The subject of research is a numerical analysis of a thin-walled plate with a cut-out and stiffening, made of laminate and subjected to axial compression. The plate was made of a carbon-epoxy composite - a laminate consisting of eight symmetrically oriented plies. The scope of the research included a linear and nonlinear numerical analysis using Finite Element Method (FEM). The main objective of the study was to investigate behaviour of the considered plate made of various stiffening materials, under quasi-static compression to achieve Tsai-Wu criterion. The numerical analysis was conducted with the Abaqus, commercial FEM software package.

scholarly journals Analytical and numerical analysis of linear and nonlinear properties of an rf-SQUID based metasurface

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
M. M. Müller ◽  
B. Maier ◽  
C. Rockstuhl ◽  
M. Hochbruck
Keyword(s):  
Numerical Analysis ◽  
Nonlinear Properties ◽  
Linear And Nonlinear ◽  
Rf Squid

scholarly journals Investigation of Fatigue Damage in General, Prestress, and Concrete Beam Reinforced with FRP Sheets and Concrete Beam Influenced By Mix Beam Under Periodic Load in Linear and Nonlinear Phase

2019 ◽  
Vol 9 (1) ◽  
pp. 81-86
Author(s):  
O. Jedkareh ◽  
A. Gholi Zad
Keyword(s):  
Numerical Analysis ◽  
Concrete Beam ◽  
Concrete Beams ◽  
Periodic Load ◽  
Structural Fatigue ◽  
Nonlinear Phase ◽  
Loading And Unloading ◽  
Linear And Nonlinear ◽  
Abaqus Software ◽  
Concrete Reinforcement

Abstract Reinforcement of concrete components using FRP is one of the new strengthening methods that replaces old methods such as steel or concrete reinforcement. In spite of the extensive research on numerical analysis (limited components) of the behavior of components of reinforced concrete, few studies have been done on components of prestress concrete and its components limited modelling. In this study, using the Abaqus software, the behavior of four samples of concrete beams under periodic load, including original, prestress, reinforced with FRP sheets and influenced by both prestress and reinforced with FRP sheets (mix beam) was modelled. Prestress in structural fatigue showed that in both loading and unloading conditions, the prestress beam is more strength than the original beam.

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