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首页> 外文期刊>International journal of steel structures >Rapid Stress Analytical Solutions of Steel Strips Subjected to Non-uniform Tensile Loads Based on New Symplectic Method
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Rapid Stress Analytical Solutions of Steel Strips Subjected to Non-uniform Tensile Loads Based on New Symplectic Method

机译：基于新的辛方法对非均匀拉伸载荷进行的钢带快速应力分析解

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摘要

This paper deals with the stress distribution problem of steel strips subjected to non-uniform tensile loads at both ends, which induce the transverse in-plane compressive stress and is important for researching the transverse buckling of the steel strip. For stress distribution problem, the traditional finite element method (FEM) has acceptable accuracy while it takes too long computing time to be applied to on-site production and the semi-inverse analytical method needs to preset the form of stress solution and gets the solution with a certain error. Thence, a rapid symplectic analytical method for solving stress distribution problem of steel strips is presented, which is based on the Hamiltonian system unlike other traditional method based on the Lagrangian system. Furthermore, the rational and rigorous derivation without any forecast about the form of solution makes the stress result have high precision with short computing time. Finally, the symplectic method is demonstrated be more efficient and suitable in the on-line calculation by comparing with FEM.
机译：本文涉及在两端进行非均匀拉伸载荷的钢带的应力分布问题，该钢带诱导横向面内压缩应力，并且对于研究钢带的横向屈曲是重要的。对于应力分布问题，传统的有限元方法（FEM）具有可接受的准确性，同时应用太长的计算时间才能应用于现场生产，半反向分析方法需要预设应力解决方案并获得解决方案有一定的错误。因此，提出了一种用于求解钢带应力分布问题的快速辛分析方法，基于哈密顿系统与基于拉格朗日系统的其他传统方法不同。此外，没有关于溶液形式的任何预测的理性和严格的推导使得应力结果具有高精度，计算时间短。最后，通过与FEM进行比较，证明了杂项方法更有效，适合在线计算。

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  • 来源
    《International journal of steel structures》 |2020年第5期|1596-1605|共10页
  • 作者

    Haijun Yu; Anrui He; Wenquan Sun; Chihuan Yao; Chao Liu;

  • 作者单位

    National Engineering Research Center for Advanced Rolling Technology University of Science and Technology Beijing Beijing 100083 China;

    National Engineering Research Center for Advanced Rolling Technology University of Science and Technology Beijing Beijing 100083 China;

    National Engineering Research Center for Advanced Rolling Technology University of Science and Technology Beijing Beijing 100083 China;

    National Engineering Research Center for Advanced Rolling Technology University of Science and Technology Beijing Beijing 100083 China;

    National Engineering Research Center for Advanced Rolling Technology University of Science and Technology Beijing Beijing 100083 China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Steel strips; Non-uniform tensile loads; Symplectic method; Stress solutions;

    机译：钢带;不均匀的拉伸载荷;辛方法;压力解决方案;

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