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Finite integration method for nonlocal elastic bar under static and dynamic loads

机译:静,动态载荷作用下非局部弹性杆的有限积分方法

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摘要

The finite integration method is proposed in this paper to approximate solutions of partial differential equations. The coefficient matrix of this finite integration method is derived and its superior accuracy and efficiency is demonstrated by making comparison with the classical finite difference method. For illustration, the finite integration method is applied to solve a nonlocal elastic straight bar under different loading conditions both for static and dynamic cases in which Laplace transform technique is adopted for the dynamic problems. Several illustrative examples indicate that high accurate numerical solutions are obtained with no extra computational efforts. The method is readily extendable to solve more complicated problems of nonlocal elasticity.
机译:本文提出了一种有限积分方法来近似偏微分方程的解。通过与经典有限差分法的比较,推导了该有限积分方法的系数矩阵,并证明了其优越的精度和效率。为了说明这一点,在有限和静态情况下,采用拉普拉斯变换技术求解动态问题,采用有限积分法求解了在不同载荷条件下的非局部弹性直杆。几个说明性示例表明,无需额外的计算工作即可获得高精度的数值解。该方法易于扩展以解决更复杂的非局部弹性问题。

著录项

  • 来源
    《Engineering analysis with boundary elements》 |2013年第5期|842-849|共8页
  • 作者单位

    College of Mathematics, Taiyuan University of Technology, Taiyuan, China;

    College of Mathematics, Taiyuan University of Technology, Taiyuan, China,Department of Mathematics, City University of Hong Kong, Hong Kong SAR, China;

    Parks College of Engineering, Aviation and Technology, Saint Louis University, St. Louis, MO 63103, USA;

    School of Engineering and Materials Science, Queen Mary, University of London, London E1 4NS, UK;

  • 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

    Nonlocal elasticity; Finite integration method; Laplace transform; Static and dynamic loads;

    机译:非局部弹性;有限积分法拉普拉斯变换;静态和动态负载;

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