Interval Finite Element Method and Its Application on Anti-Slide Stability Analysis

SHAO Guo-jian; SU Jing-bo

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(4): 471-478

SHAO Guo-jian, SU Jing-bo. Interval Finite Element Method and Its Application on Anti-Slide Stability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(4): 471-478.

Citation:

SHAO Guo-jian, SU Jing-bo. Interval Finite Element Method and Its Application on Anti-Slide Stability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(4): 471-478.

Citation:

SHAO Guo-jian, SU Jing-bo. Interval Finite Element Method and Its Application on Anti-Slide Stability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(4): 471-478.

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Interval Finite Element Method and Its Application on Anti-Slide Stability Analysis

SHAO Guo-jian¹,
SU Jing-bo²

1.
Department of Engineering Mechanics, Hohai University, Nanjing 210098, P. R. China;

Received Date: 2006-09-06
Rev Recd Date: 2007-01-26
Publish Date: 2007-04-15

Abstract

Abstract

The problem of interval correlation results in interval extension is discussed by the relationship of interva-lvalued functions and real-valued functions. The methods of reducing interval extension are given. Based on the ideas of the paper, the formulas of sub-interval perturbed finite element method based on the elements were given. The sub-interval amount is discussed and the approximate computation formula was given. At the same time, the computational precision was discussed and some measures of improving computational efficiency were given. Finally, based on sub-interval perturbed finite element method and anti-slide stability analysis method, the formula for computing the bounds of stability factor was given. Which will provide a basis for estimating and evaluating reasonably anti-slide stability of structures.
- interval correlation,
- interval extension,
- computational precision,
- interval finite element method,
- ant-islide stability

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References(18)

References

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