...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function
【24h】

Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function

机译：基于移位的Chebyshev小波函数的分数粘弹性柱数值分析

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

An innovative numerical procedure for solving the viscoelastic column problem based on fractional Theological models, directly in the time domain, is investigated. Firstly, the governing equation is established according to the fractional constitutive relation. Secondly, the resulting equation is transformed into algebraic equation and solved by using the shifted Chebyshev wavelet function. Furthermore, the convergence analysis and the retained numerical benchmarks are carried out to validate the performance of the proposed method. A small value of the absolute error between numerical and accurate solution is obtained. Finally, the dynamic analysis of viscoelastic beam-column problems is investigated with different cross-section shape (circular and square) under various loading conditions (axial compressive force and harmonic load). The displacement, strain and stress of the viscoelastic column at different time and position are determined. The deformation and stress of the viscoelastic column of different materials under the same loading condition are compared. The results in the paper show the highly accuracy and efficiency of the proposed numerical algorithm in the dynamical stability analysis of the viscoelastic column.
机译：研究了基于分数神学模型的求解粘弹性柱问题的创新数值，直接在时域中。首先，根据分数构成关系建立控制方程。其次，将得到的等式转换为代数方程并通过使用移位的Chebyshev小波函数解决。此外，执行收敛分析和保留的数控基准以验证所提出的方法的性能。获得数值和准确解决方案之间的绝对误差的小值。最后，在各种装载条件下用不同的横截面形状（圆形和正方形）来研究粘弹性梁柱问题的动态分析（轴向挤压力和谐波载荷）。确定粘弹性塔在不同时间和位置的位移，应变和应力。比较了在相同负载条件下不同材料的粘弹性塔的变形和应力。本文的结果显示了粘弹性柱动力稳定性分析中提出的数值算法的高精度和效率。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2021年第3期|374-389|共16页
  • 作者

    Jiawei Cao; Yiming Chen; Yuanhui Wang; Gang Cheng; Thierry Barriere; Lei Wang;

  • 作者单位

    College of Sciences Yanshan University Hebei 066004 Qinghuangdao China;

    College of Sciences Yanshan University Hebei 066004 Qinghuangdao China Department of Applied Mechanics FEMTO-ST Institute CNRS/ENSMM/UTBM Univ. Bourgogne Franche-Comte Besancon 25000 France;

    College of Sciences Yanshan University Hebei 066004 Qinghuangdao China;

    INSA Centre Val de Loire Univ. Tours Univ. Orleans LaMe 3 rue de la chocolaterie CS 23410 41034 Blois France;

    Department of Applied Mechanics FEMTO-ST Institute CNRS/ENSMM/UTBM Univ. Bourgogne Franche-Comte Besancon 25000 France;

    College of Sciences Yanshan University Hebei 066004 Qinghuangdao China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fractional constitutive model; Viscoelastic column; Shifted Chebyshev wavelet function; Convergence analysis; Numerical solution;

    机译：分数构成模型;粘弹柱;Shifted Chebyshev小波功能;收敛分析;数值解决方案;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号