| Interval finite element method and its application on anti-slide stability analysis |
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| 作者姓名： | 邵国建 苏静渡 |
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| 作者单位： | Department of Engineering Mechanics Hohai University，Nanjing 210098，P. R. China，College of Traffic，Hohai University，Nanjing 210098，P. R. China |
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| 摘 要： | The problem of interval correlation results in interval extension is discussed by the relationship of interval-valued 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 are given. The sub-interval amount is discussed and the approximate computation formula is given. At the same time, the computational precision is discussed and some measures of improving computational efficiency are 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 is given. It provides a basis for estimating and evaluating reasonably anti-slide stability of structures.
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| 关 键 词： | 区间有限元法 抗滑动稳定性 应用 区间相关 计算精度 |
| 收稿时间： | 2006-09-06 |
| 修稿时间： | 2007-01-26 |
Interval finite element method and its application on anti-slide stability analysis |
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| Shao Guo-jian,Su Jing-bo.Interval finite element method and its application on anti-slide stability analysis[J].Applied Mathematics and Mechanics(English Edition),2007,28(4):521-529. |
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| Authors: | Shao Guo-jian Su Jing-bo |
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| Institution: | 1. Department of Engineering Mechanics, Hohai University, Nanjing 210098, P. R. China
2. College of Traffic, Hohai University, Nanjing 210098, P. R. China |
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| Abstract: | The problem of interval correlation results in interval extension is discussed by the relationship of interval-valued 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 are given. The sub-interval amount is discussed and the approximate computation formula is given. At the same time, the computational precision is discussed and some measures of improving computational efficiency are 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 is given. It provides a basis for estimating and evaluating reasonably anti-slide stability of structures. |
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| Keywords: | interval correlation interval extension computational precision interval finite element method anti-slide stability |
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