<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Although various analytical and numerical methods have been proposed by researchers to solve equations, but use of numerical tools with low volume calculations and high accuracy instead of other numerical methods with high volume calculations is inevitable in the analysis of engineering equations. In this paper, B-Spline spectral method was used to study buckling equations of the piles. Results were compared with the calculated amounts of the exact solution and finite element method. Uniform horizontal reaction coefficient has been used in most of proposed methods for analyzing buckling of the pile on elastic base. In reality, soil horizontal reaction coefficient is nonlinear along the pile. So, in this research by using B-Spline method, buckling equation of the pile with nonlinear horizontal reaction coefficient of the soil was investigated. It is worth mentioning that B-Spline method had not been used for buckling of the pile.</p></abstract>

Although various analytical and numerical methods have been proposed by researchers to solve equations, but use of numerical tools with low volume calculations and high accuracy instead of other numerical methods with high volume calculations is inevitable in the analysis of engineering equations. In this paper, B-Spline spectral method was used to study buckling equations of the piles. Results were compared with the calculated amounts of the exact solution and finite element method. Uniform horizontal reaction coefficient has been used in most of proposed methods for analyzing buckling of the pile on elastic base. In reality, soil horizontal reaction coefficient is nonlinear along the pile. So, in this research by using B-Spline method, buckling equation of the pile with nonlinear horizontal reaction coefficient of the soil was investigated. It is worth mentioning that B-Spline method had not been used for buckling of the pile.

Evaluation of Pile’s Buckling Under Axial Load by B-Spline Method and Comparison With Finite Element Method and Exact Solution

Department of Civil Engineering, Arak Branch

Journal of Applied Engineering Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Although various analytical and numerical methods have been proposed by researchers to solve equations, but use of numerical tools with low volume calculations...

Evaluation of Pile’s Buckling Under Axial Load by B-Spline Method and Comparison With Finite Element Method and Exact Solution

Published Online: Feb 14, 2019

Page range: 29 - 34

Received: Jun 13, 2018

Accepted: Sep 10, 2018

DOI: https://doi.org/10.2478/jaes-2018-0015

Keywords
B-Spline, Finite element, Buckling, Exact solution, Nonlinear horizontal reaction coefficient

© 2018 A. Moghaddam et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Evaluation of Pile’s Buckling Under Axial Load by B-Spline Method and Comparison With Finite Element Method and Exact Solution

Published Online: Feb 14, 2019

Page range: 29 - 34

Received: Jun 13, 2018

Accepted: Sep 10, 2018

DOI: https://doi.org/10.2478/jaes-2018-0015

KeywordsB-Spline, Finite element, Buckling, Exact solution, Nonlinear horizontal reaction coefficient

© 2018 A. Moghaddam et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
B-Spline, Finite element, Buckling, Exact solution, Nonlinear horizontal reaction coefficient