| 用改进的Neville外推法提高动力问题解的精度 |
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| 引用本文： | 张汝清 墨事尔. 用改进的Neville外推法提高动力问题解的精度[J]. 西南石油学院学报, 1991, 13(3): 74-81 |
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| 作者姓名： | 张汝清 墨事尔 |
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| 作者单位： | 重庆大学(张汝清),西南石油学院石油机械系(董事尔) |
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| 摘 要： | 对于动力问题,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。本文针对这个问题,将一维Neville外推法推广到了多维Neville外推法,井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,对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。
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| 关 键 词： | 动力问题 外推法 外逼近 内逼近 |
USING MODIFIED NEVILLE EXTRAPOLATION TO INCREASE STRESS ACCURACY OF FINITE ELEMENT METHOD FOR DYNAMIC RESPONSE |
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| Zhang Ruqing. USING MODIFIED NEVILLE EXTRAPOLATION TO INCREASE STRESS ACCURACY OF FINITE ELEMENT METHOD FOR DYNAMIC RESPONSE[J]. Journal of Southwest Petroleum Institute, 1991, 13(3): 74-81 |
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| Authors: | Zhang Ruqing |
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| Affiliation: | Zhang Ruqing (Chongqing University) Dong Shier (Dept. ofMechanical Engineering) |
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| Abstract: | For dynamic response, especially when frequence is high, the stress accuracy 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 forward, and Neville extrapolation can be used in the finite element method to increase the dynamic stress accuracy. |
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| Keywords: | Dynamic response Outside approach Inside approach Error rate Neville extrapolation |
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