Investigation of metal built-up columns, Part I: Formulae

2021 ◽  
Vol 16 (1) ◽  
pp. 65-70
Author(s):  
Ivan Baláž ◽  
Yvonna Koleková ◽  
Lydia Moroczová ◽  
Antonio Agüero
Keyword(s):  
Initial Imperfection ◽  
Shear Stiffness ◽  
Order Theory ◽  
Bending Stiffness ◽  
Second Order ◽  
Numerical Examples

AbstractEurocodes give guidance how to design built-up columns having effective bending stiffness, smeared shear stiffness and local bow imperfection amplitude e0 = L/500 under compression. The guidance is valid only for columns supported by hinges at their ends. The second order theory is presented, which allows analysis of the battened and laced built-up columns with initial imperfection under combined compression and bending with the bottom end fixed and the upper one free in the case of in-plane buckling. The application of the theory in several numerical examples is given in Part II.

Investigation of metal built-up columns Part II: Results

2021 ◽  
Author(s):  
Ivan Baláž ◽  
Yvonna Koleková ◽  
Lýdia Moroczová ◽  
Antonio Agüero
Keyword(s):  
Aluminum Alloy ◽  
Shear Stiffness ◽  
Order Theory ◽  
Second Order ◽  
Out Of Plane ◽  
Column Base

AbstractIn the frame of a large parametrical study metal built-up columns made from steel and made of aluminum alloy were investigated. The second order theory is used for the analysis of the battened and laced built-up columns under combined compression and bending. The bottom column ends are fixed and the upper ones are free in the case of in-plane buckling. At the column base the translation and the rotation are fixed, at the column top the translation and the rotation are free in the case of in-plane buckling. Translation is fixed and rotation is free at both column ends in out-of plane buckling. The built-up columns are considered as the columns with effective bending and smeared shear stiffness with a local bow imperfection amplitude e0 = L/500.

THE IMPACT OF SOIL DEFORMATION ON THE CALCULATION OF SYSTEM ACCORDING TO THE SECOND ORDER THEORY

2020 ◽  
Author(s):  
Besim Demirović ◽  
Nedim Osmić
Keyword(s):  
Linear Relationship ◽  
Geometric Nonlinearity ◽  
Vertical Direction ◽  
Order Theory ◽  
Second Order ◽  
Soil Deformation ◽  
Elastic Supports ◽  
Numerical Examples ◽  
Relationship Of ◽  
The Impact

The paper shows the calculation of the system by second order theory on elastic supports. At the calculate it adopted a linear relationship of stress-displacement soil. The method of calculating the beams based on rigid and deformed supports was presented by introducing geometric nonlinearity into the calculate. Expressions were performed for the rigidity of the supports in the vertical direction and on the rotation of the foundation, due to the elastic deformation of the soil. Numerical examples show the application of the procedure described. Through diagrams and charts of static and deformation, a comparison of calculate results was made.

scholarly journals Barycentric prolate interpolation and pseudospectral differentiation

2021 ◽  
Author(s):  
Yan Tian
Keyword(s):  
Boundary Value Problem ◽  
Convergence Rates ◽  
Boundary Value ◽  
High Accuracy ◽  
Second Order ◽  
New Method ◽  
Numerical Examples ◽  
Helmholtz Problem ◽  
Collocation Scheme

AbstractIn this paper, we provide further illustrations of prolate interpolation and pseudospectral differentiation based on the barycentric perspectives. The convergence rates of the barycentric prolate interpolation and pseudospectral differentiation are derived. Furthermore, we propose the new preconditioner, which leads to the well-conditioned prolate collocation scheme. Numerical examples are included to show the high accuracy of the new method. We apply this approach to solve the second-order boundary value problem and Helmholtz problem.

scholarly journals Second-order neutrosophic boundary-value problem

2021 ◽  
Author(s):  
Sandip Moi ◽  
Suvankar Biswas ◽  
Smita Pal(Sarkar)
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Differential Calculus ◽  
Boundary Value ◽  
Second Order ◽  
Numerical Examples ◽  
Different Types ◽  
First Time

AbstractIn this article, some properties of neutrosophic derivative and neutrosophic numbers have been presented. This properties have been used to develop the neutrosophic differential calculus. By considering different types of first- and second-order derivatives, different kind of systems of derivatives have been developed. This is the first time where a second-order neutrosophic boundary-value problem has been introduced with different types of first- and second-order derivatives. Some numerical examples have been examined to explain different systems of neutrosophic differential equation.

scholarly journals Surface wavepackets subject to an abrupt depth change. Part 1. Second-order theory

2021 ◽  
Vol 915 ◽  
Author(s):  
Yan Li ◽  
Yaokun Zheng ◽  
Zhiliang Lin ◽  
Thomas A.A. Adcock ◽  
Ton S. van den Bremer
Keyword(s):  
Order Theory ◽  
Second Order

Abstract

Invariant relative orbits for satellite constellations: A second order theory

2006 ◽  
Vol 181 (1) ◽  
pp. 6-20 ◽  
Author(s):  
F.A. Abd El-Salam ◽  
I.A. El-Tohamy ◽  
M.K. Ahmed ◽  
W.A. Rahoma ◽  
M.A. Rassem
Keyword(s):  
Order Theory ◽  
Second Order ◽  
Satellite Constellations

How Second-Order Is the Regional Level? An Analysis of Tweets in Simultaneous Campaigns

2017 ◽  
Vol 65 (4) ◽  
pp. 1021-1039
Author(s):  
Nicolas Bouteca ◽  
Evelien D’heer ◽  
Steven Lannoo
Keyword(s):  
Order Theory ◽  
Second Order ◽  
Regional Level ◽  
The Political ◽  
Voting Behaviour ◽  
National Parliament ◽  
Political Experience ◽  
Regional Elections

This article puts the second-order theory for regional elections to the test. Not by analysing voting behaviour but with the use of campaign data. The assumption that regional campaigns are overshadowed by national issues was verified by analysing the campaign tweets of Flemish politicians who ran for the regional or national parliament in the simultaneous elections of 2014. No proof was found for a hierarchy of electoral levels but politicians clearly mix up both levels in their tweets when elections coincide. The extent to which candidates mix up governmental levels can be explained by the incumbency past of the candidates, their regionalist ideology, and the political experience of the candidates.

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