Straight Beams Rested on Nonlinear Elastic Foundations - Part 1 (Theory, Experiments, Numerical Approach)

被引:8
作者
Frydrysek, Karel [1 ]
Michenkova, Sarka [1 ,2 ]
Nikodym, Marek [3 ]
机构
[1] VSB Tech Univ Ostrava, Fac Mech Engn, Dept Mech Mat, 17 Listopadu 15-2172, Ostrava 70833, Czech Republic
[2] VSB Tech Univ Ostrava, Dept Mech Mat, Fac Mech Engn, Ostrava 70833, Czech Republic
[3] VSB Tech Univ Ostrava, Dept Math & Descript Geometry, Ostrava 70833, Czech Republic
来源
PROCEEDINGS OF 2014 INTERNATIONAL CONFERENCE ON MECHANICS AND MECHANICAL ENGINEERING | 2014年 / 684卷
关键词
Elastic foundation; Beam; Experiments; Finite Difference Method ( Central Differences); Nonlinearity;
D O I
10.4028/www.scientific.net/AMM.684.11
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper presents theory, experiments and numerical approaches suitable for the solution of straight plane beams rested on an elastic (Winkler's) foundation, including nonlinearities. The nonlinear dependence of the reaction force on displacement in the foundation (i.e. the experimental data) can be described via bilateral linear or bilateral linear + cubic or bilateral linear + cubic + quintic approximations, or by unilateral approximation (i.e. by using the Least Squares Method). These applications lead to linear or nonlinear differential 4th-order equations. For solutions of nonlinear problems of mechanics, the Finite Difference Method (i.e. the Central Difference Method) and boundary conditions are applied. The solution and its evaluation is performed in second part of this article.
引用
收藏
页码:11 / +
页数:3
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