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The Elastic Solution of a Radial Heterogeneous Cylinder Subjected to Non-Uniform Distributed Normal and Tangential Loads

机译:径向非均质圆柱体在非均匀分布的正切载荷和切向载荷作用下的弹性解

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摘要

This paper presents an investigation of a cylinder with material attributes that vary arbitrarily in the radial direction under nonuniformly distributed normal and tangential pressures. A stress and displacement solution method for plane strain on a radial heterogeneous cylinder with inner and outer surfaces subjected to uneven normal and tangential pressures under two types of contact conditions (i.e., complete contact and smooth contact) is proposed based on the theory of elastic mechanics. In addition, a group of linear equations is derived, through which the analytical solution of a radial heterogeneous cylinder under a non-uniform load can be obtained. The validity of the analytical solution is verified by comparing it with the results of a numerical simulation. This research shows that the solution is more convenient and universal than traditional methods and can provide a theoretical basis for the stress state analysis, stability evaluation, and structure design of heterogeneous cylindrical structures, all of which have great significance in practical engineering.
机译:本文介绍了一种圆柱体,该圆柱体的材料属性在法向和切向压力不均匀分布的情况下在径向方向上任意变化。提出了一种基于弹性力学理论的内外表面承受不均匀法向和切向压力的径向异质圆柱体在两种接触条件(即完全接触和光滑接触)下平面应变的应力和位移求解方法。 。另外,推导了一组线性方程,通过该方程可以得到非均匀载荷下径向异质圆柱的解析解。通过与数值模拟结果进行比较,可以验证分析解决方案的有效性。研究表明,该解决方案比传统方法更加方便,通用,可以为异质圆柱结构的应力状态分析,稳定性评估和结构设计提供理论依据,所有这些在实际工程中具有重要意义。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第7期|9230609.1-9230609.8|共8页
  • 作者

    Zhang Wen;

  • 作者单位

    China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China;

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  • 正文语种 eng
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