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首页> 外文期刊>Applied Mathematical Modelling >Static analysis of Timoshenko beam on elastic multilayered soils by combination of finite element and analytical layer element
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Static analysis of Timoshenko beam on elastic multilayered soils by combination of finite element and analytical layer element

机译：有限元与解析层单元相结合的Timoshenko梁在弹性多层土上的静态分析

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摘要

This paper puts forward a theory for static analysis of a Timoshenko beam on elastic multilayered isotropic soils. In the soil-beam system presented below, the analytical solution for a single soil layer loaded by axisymmetric load is deduced by an order reduction method, and then promoted to solve problems involving multilayered soils based on the analytical layer element method; the Timoshenko beam is modeled by the finite element method with locking-free elements. According to the coordination of force and displacements in the contact area, the theory of interaction between beam and soil is established. The comparison between the results from ABAQUS software and those from the presented theory proves that the latter is of good accuracy and high efficiency. Furthermore, some numerical examples show that the behavior of soil-beam system is significantly influenced by the slenderness of the beam, the Young's modulus ratio between beam and soil and the layered characteristics of soils.
机译：提出了在多层均质弹性土上对Timoshenko梁进行静力分析的理论。在下面介绍的土梁系统中，通过阶次折减法推导了轴对称荷载作用下的单个土层的解析解，然后基于解析层元法推广用于解决涉及多层土的问题。蒂莫申科梁采用无锁紧单元的有限元方法建模。根据力和接触区域位移的协调关系，建立了梁与土相互作用的理论。将ABAQUS软件的结果与所提出的理论进行比较，证明后者具有较高的准确性和效率。此外，一些数值算例表明，梁的细长性，梁与土壤之间的杨氏模量比以及土壤的层状特性显着影响了土梁系统的性能。

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