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首页> 外文期刊>Applications of Mathematics >NUMERICAL MODELLING OF SEMI-COERCIVE BEAM PROBLEM WITH UNILATERAL ELASTIC SUBSOIL OF WINKLER'S TYPE
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NUMERICAL MODELLING OF SEMI-COERCIVE BEAM PROBLEM WITH UNILATERAL ELASTIC SUBSOIL OF WINKLER'S TYPE

机译:温克勒型单向次弹性土半顽固梁问题的数值模拟

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摘要

A non-linear semi-coercive beam problem is solved in this article. Suitable numerical methods are presented and their uniform convergence properties with respect to the finite element discretization parameter are proved here. The methods are based on the minimization of the total energy functional, where the descent directions of the functional are searched by solving the linear problems with a beam on bilateral elastic "springs". The influence of external loads on the convergence properties is also investigated. The effectiveness of the algorithms is illustrated on numerical examples.
机译:本文解决了非线性半矫正梁问题。提出了合适的数值方法,并证明了它们在有限元离散化参数方面的一致收敛性。该方法基于总能量函数的最小化,其中通过用梁在双边弹性“弹簧”上求解线性问题来搜索函数的下降方向。还研究了外部载荷对收敛特性的影响。数值示例说明了算法的有效性。

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