人工冻土遗传分数阶导数加速伯格斯蠕变模型

姚兆明; 周洋; 徐颖; 王厚良

doi:10.13204/j.gyjz201311017

人工冻土遗传分数阶导数加速伯格斯蠕变模型

doi: 10.13204/j.gyjz201311017

姚兆明^1,2,3,
周洋¹,
徐颖¹,
王厚良²

1.
1. 安徽理工大学土木建筑学院,安徽淮南 232001;
2.
2. 中煤矿山建设集团有限责任公司,合肥 230000;
3.
3. 安徽理工大学冻土研究所,安徽淮南 232001

基金项目:

国家自然科学基金项目(40972188/DO214);安徽省博士后基金

详细信息

作者简介:
姚兆明，1975年出生，男，博士(后)，副教授。电子信箱:zhmyaoaust@126.com

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- 被引次数: 0
出版历程
- 收稿日期: 2013-03-15
- 刊出日期: 2013-11-20

GENETIC ALGORITHMS FRACTIONAL ORDER DERIVATIVE BURGERS CREEP MODEL FOR ARTIFICIAL FROZEN SOIL

1.
1. School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan 232001,China;
2.
2. China Coal Construction Group Corporation Ltd,Hefei 230000,China;
3.
3. Atificial Frozen Soil Institute,Anhui University of Science and Technology,Huainan 232001,China

摘要

摘要: 了解人工冻土的蠕变性质对安全建井是非常必要的。目前常用的人工冻土蠕变整数阶模型存在元件多的不足,通过将伯格斯模型串联黏壶替换为分数阶导数黏壶,建立分数阶导数伯格斯蠕变模型来模拟稳定蠕变阶段;在分数阶导数伯格斯模型中串联加速元件,建立分数阶导数加速伯格斯蠕变模型来模拟加速蠕变阶段。通过对比分析分数阶伯格斯蠕变模型计算结果与试验值,表明所建立的蠕变模型可较好地反映人工冻土的各阶段蠕变过程,可为人工冻土蠕变计算提供一种新方法。
- 人工冻土蠕变 /
- 遗传算法 /
- 分数阶导数 /
- 伯格斯模型
Abstract: It is very important to master the influence of creep characteristics on artificial frozen soil to the engineering safety under construction of freezing method. For the creep,the integer order calculus constitutive relation of artificial frozen soil needs too many components and has other disadvantages,replaced the serial mode of Burgers model with fractional oder derivative function model,fractional order derivative Burgers creep model was constructed to simulate the steady stage of creep. Connected acceleration element in the fractional order derivative Burgers model,the fractional order derivative acceleration Burger creep model to simulate the acceleration stage of creep was constructed. By comparing the result of fractional order derivative Burgers creep model with trial value,the established creep model preferably reflected each stage of creep process of artificial frozen soil. Fractional order derivative Burgers model for artificial frozen soil was a new method for artificial frozen soil creep calculation.
- artificial frozen soil creep /
- genetic algorithms /
- fractional order derivative /
- burgers creep model

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参考文献(6)

[2] Shi Miu Nobuyuki,Zhang Wei. Fractional Calculus Approach toDynamic Problem of Viscoelastic Material[J], JSME, 1999(42):827-830.

康永刚, 张秀娥. 岩石蠕变的非定常分数伯格斯模型[J]. 岩土力学, 2011, 32(11):3237-3241.

[3] Koeller R C. Applications of Fractional Calculus to the Theory ofViscoelasticity[J]. Journal of Applied Mechanics,1984, 51:299-307.

[4] Oldham K B,Spanier J. The Fractional Calculus[M]. NewYork: Academic Press, 1974.

[5] Schiessel H, Metzker R, Blumen A, et al. GeneralizedViscoelastic Models: Their Fractional Equations with Solutions[J]. Journal of Physics A: Mathematical and General,1995,28(23): 6567-6584.

[6] 殷德顺, 任俊娟, 和成亮, 等. 一种新的岩土流变模型元件[J].岩石力学与工程学报, 2007, 26(9):1899-1903.

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