Numerical investigation of non-linear deflections of an infinite beam on non-linear and discontinuous elastic foundation

被引：0

作者：

Baek, Hyoungsu ^{[1
]}

Park, Jinsoo ^{[2
]}

Jang, T. S. ^{[2
]}

Sung, H. G. ^{[3
]}

Paik, Jeom Kee ^{[2
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Pusan Natl Univ, Dept Naval Architecture & Ocean Engn, Busan, South Korea

[3] Korea Res Inst Ships & Ocean Engn KRISO, Daejeon, South Korea

来源：

SHIPS AND OFFSHORE STRUCTURES | 2020年 / 15卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Infinite beam; discontinuous non-linear elastic foundation; Green's function; iterative method; WAVE; SCHEME;

D O I：

10.1080/17445302.2014.919724

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

The analysis of static deflections of an infinite beam resting on a non-linear and discontinuous foundation is not trivial. We apply a recently proposed iterative non-linear procedure to the analysis. Mathematical models of the elastic foundation are incorporated into the governing non-linear fourth-order differential equation of the system and then the differential equation is transformed into an equivalent non-linear integral equation using Green's functions. Numerical solutions of the integral equation clearly demonstrate herein that our non-linear iterative numerical method is simple and straightforward for approximate solutions of the static deflection of an infinite beam on anon-linearelastic foundation. Iterative numerical solutions converge fast to corresponding analytic solutions. However, numerical errors are observed in a narrow neighbourhood of material discontinuities of foundations.

引用

页码：19 / 28

页数：10

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