西南石油大学学报(自然科学版) ›› 1991, Vol. 13 ›› Issue (3): 74-81.DOI: 10.3863/j.issn.1000-2634.1991.03.011

• 石油机械工程 • 上一篇    下一篇

用改进的Neville外推法提高 动力间题解的精度

张汝清1 董事尔2

  

  1. 1.重庆大学 2.石油机械系
  • 收稿日期:1990-05-09 修回日期:1900-01-01 出版日期:1991-08-20 发布日期:1991-08-20
  • 通讯作者: 张汝清

USING MODIFIED NEVILLE EXTRAPOLATION TO INCREASE STRESS ACCURACY OF FINITE ELEMENT METHOD FOR DYNAMIC RESPONSE

Zhang Ru-qing1 Dong Shi-er 2
  

  1. 1.Chongqing University 2.Dept,ofMechanical Engineering
  • Received:1990-05-09 Revised:1900-01-01 Online:1991-08-20 Published:1991-08-20
  • Contact: Zhang Ru-qing

摘要: 时于动力问题,特别当外载的激励频率较高时,用有限元位移场解得的应力场精度较低,这是理论界、工程界一直没有解决的问题。本文钊对这个问题,将一维Neville外推法推广到了多维Neville外推法,并根据有限元动力问题数值解的特点,提出了“外逼近”、“内逼近”的概念,时Neville外推法进行了修正,从而能使外推法用于有限元中,以达到提高其精度的目的。

关键词: 动力问题 外逼近 内逼近 误差率 Neville外推法

Abstract: For dynamic response, especially when frequence is high, the stress ae-
curacy obtained by the finite element method is very low. This question hasn' t been solved theoretically, To solve it, this paper extends Neville extrapolation from one-dimension to multi-dimension, Accordind to numerical characteristics of dynamic response, "outside approach" and "inside approach" are put for-ward, and Neville extrapolation can be used in the finite element method to increase the dynamic stress accuracy.

Key words: Dynamic response Outside approach Inside appro

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