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首页> 外文期刊>Finite elements in analysis & design >Multivariable finite elements based on B-spline wavelet on the interval for thin plate static and vibration analysis
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Multivariable finite elements based on B-spline wavelet on the interval for thin plate static and vibration analysis

机译：基于区间B样条小波的多变量有限元用于薄板静力和振动分析

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摘要

Based on B-spline wavelet on the interval (BSWI) and the generalized variational principle, multivariable wavelet finite elements were proposed in this paper. Firstly, formulations were derived from multivariable generalized potential energy functional. Then the matrix equations of different structures were obtained by using BSWI as trial function. The elements presented can improve the accuracy of moment and bending strain efficiently, because displacement, moment and bending strain are all interpolated separately in multivariable generalized potential energy functional. However, the moment and bending strain are calculated by the differentiation of displacement in traditional method, which leads to calculation error because of the differentiation. Furthermore, the good approximation property of BSWI further guarantees the precision by using BSWI as trial function. In the end, several examples of thin plate and thin plate on elastic foundation are given, and they show that the efficiency of the element proposed is exemplified.
机译：基于区间B样条小波（BSWI）和广义变分原理，提出了多变量小波有限元。首先，公式是从多变量广义势能函数导出的。然后以BSWI作为试验函数得到不同结构的矩阵方程。提出的元素可以有效地提高弯矩和弯曲应变的精度，因为位移，弯矩和弯曲应变都在多变量广义势能函数中分别插值。然而，力矩和弯曲应变是通过传统方法中位移的微分来计算的，由于微分而导致计算误差。此外，通过将BSWI作为试验函数，BSWI的良好逼近特性进一步保证了精度。最后，给出了薄板和弹性地基上薄板的几个例子，它们表明了所提出的单元的效率。

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  • 来源
    《Finite elements in analysis & design》 |2010年第5期|p.416-427|共12页
  • 作者

    Xingwu Zhang; Xuefeng Chen; Xiuzhuan Wang; Zhengjia He;

  • 作者单位

    State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China;

    State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China;

    State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China;

    State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR 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

    B-spline wavelet on the interval; multivariable; thin plate; elastic foundation;

    机译：B样条小波在区间上;多变量薄板弹性基础;

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