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浙江大学学报(工学版)  2020, Vol. 54 Issue (4): 759-766    DOI: 10.3785/j.issn.1008-973X.2020.04.015
土木工程、交通工程     
合肥膨胀土动弹性模量与阻尼比试验研究
庄心善(),赵汉文,王俊翔,黄勇杰
湖北工业大学 土木建筑与环境学院,湖北 武汉 430068
Experimental study of dynamic elastic modulus and damping ratio of expansive soil in Hefei
Xin-shan ZHUANG(),Han-wen ZHAO,Jun-xiang WANG,Yong-jie HUANG
School of Civil Engineering, Architecture and Environment, Hubei University of Technology, Wuhan 430068, China
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摘要:

以合肥膨胀土为研究对象,利用GDS真动三轴仪对土体进行循环动荷载试验,研究不同围压、固结应力比对土体动弹性模量及阻尼比的影响规律.试验结果表明,合肥膨胀土的骨干曲线可以由双曲线描述;在相同条件下,动弹性模量随着围压、固结应力比的增大而增大,随着动应变的增大先急剧减小后趋于平缓;动弹性模量的倒数与动应变呈良好的线性关系,最大动弹性模量随着围压的增大呈线性增大,给出考虑围压影响的最大动弹性模量回归方程;阻尼比随着围压、固结应力比的增大而减小,采用 Darendeli 模型及依据阻尼比与应变的经验关系,得到动模量比衰减模型及阻尼比模型;不同围压、固结应力比下阻尼比与动模量比的关系归一化后可以由修正Hardin-Drnevich公式描述.

关键词: 膨胀土动三轴试验固结应力比动弹性模量阻尼比    
Abstract:

A series of dynamic triaxial tests were conducted by GDS to analyze the influence of different confining pressures, consolidation ratios on the dynamic modulus and damping ratio of the soil by taking expansive soil in Hefei as the research object. The test results show that the stress-strain backbone curve can be described by hyperbolic function. The dynamic modulus of elasticity increases with the increase of confining pressure and consolidation stress ratio, and decreases sharply at first then tends to be flat with the increase of dynamic strain under the same conditions. The reciprocal of elastic modulus has a linear relationship with dynamic strain. The maximum modulus increases linearly with the increase of confining pressure. A regression model of maximum dynamic modulus and elasticity regression considering confining pressure was developed. Damping ratio decreases with the increase of confining pressure and consolidation stress ratio. An attenuation model of dynamic modulus ratio and a damping ratio model were established based on the Darendeli’s model and empirical relation between damping ratio and strain. The relationship between damping ratio and dynamic modulus ratio under different confining pressure and consolidation stress ratio after normalization processing can be described by the modified formula of Hardin-Drnevich.

Key words: expansive soil    dynamic triaxial test    consolidation stress ratio    dynamic elastic modulus    damping ratio
收稿日期: 2019-03-22 出版日期: 2020-04-05
CLC:  TU 441  
基金资助: 国家自然科学基金资助项目(51708190)
作者简介: 庄心善(1964—),男,教授,博导,从事环境岩土工程与边坡工程的研究. orcid.org/0000-0001-8319-8726. E-mail: zhuangxinshan@163.com
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引用本文:

庄心善,赵汉文,王俊翔,黄勇杰. 合肥膨胀土动弹性模量与阻尼比试验研究[J]. 浙江大学学报(工学版), 2020, 54(4): 759-766.

Xin-shan ZHUANG,Han-wen ZHAO,Jun-xiang WANG,Yong-jie HUANG. Experimental study of dynamic elastic modulus and damping ratio of expansive soil in Hefei. Journal of ZheJiang University (Engineering Science), 2020, 54(4): 759-766.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2020.04.015        http://www.zjujournals.com/eng/CN/Y2020/V54/I4/759

图 1  GDS真动三轴试验仪及电子操控台
ρ/
(g·cm?3)
W/% Wl /% Wp /% Gs Fs/%
1.9 21.64 72 30 2.68 44
表 1  合肥膨胀土基本物理力学参数
组类 σ3/kPa kc σd/kPa
1 100 1.0,1.25,1.50 10~120
2 150 1.0,1.25,1.50 15~180
3 200 1.0,1.25,1.50 20~240
表 2  膨胀土动力加载试验方案
图 2  膨胀土动应力-应变关系曲线
图 3  不同围压下膨胀土动弹性模量变化曲线
图 4  不同固结应力比下膨胀土动弹性模量变化曲线
图 5  膨胀土动弹性模量倒数随动应变的变化关系
图 6  不同固结应力比下膨胀土最大动弹性模量随围压的变化关系
图 7  不同围压下膨胀土最大动弹性模量随固结应力比的变化关系
图 8  膨胀土动模量比随动应变的变化关系
图 9  膨胀土应力-应变滞回曲线
kc σ3/kPa n m R2
1.00 100 0.242 1 1.667 9 0.994 9
1.00 150 0.318 8 1.636 1 0.996 0
1.00 200 0.407 0 1.475 8 0.996 7
1.25 100 0.208 0 1.954 1 0.992 1
1.25 150 0.263 6 1.763 4 0.995 6
1.25 200 0.294 9 1.832 2 0.997 9
1.50 100 0.160 9 2.766 5 0.990 1
1.50 150 0.192 9 2.472 5 0.989 8
1.50 200 0.232 9 2.461 0 0.992 9
表 3  膨胀土阻尼比的拟合参数
图 10  不同围压下膨胀土阻尼比随动应变的变化关系
图 11  不同固结应力比下阻尼比随动应变的变化关系
图 12  膨胀土 $\lambda $/ $\lambda _{\rm{max}}$随1−Ed/Ed0的变化关系
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