红黏土动剪切模量比与阻尼比概率分布特征研究

刘娟; 蒙云龙; 许国栋; 兰景岩

doi:10.20174/j.JUSE.2024.04.06

地下空间与工程学报 >

2024 , Vol. 20 >Issue 4: 1108 - 1116

DOI: https://doi.org/10.20174/j.JUSE.2024.04.06

理论与试验研究

红黏土动剪切模量比与阻尼比概率分布特征研究

刘娟 ,
蒙云龙 ,
许国栋 ,
兰景岩

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1.中国地震局工程力学研究所地震工程与工程振动重点实验室,哈尔滨 150080;
2.中国地震局工程力学研究所地震灾害防治应急管理部重点实验室,哈尔滨 150080;
3.桂林理工大学土木工程学院,广西桂林 541004;
4.桂林理工大学广西岩土力学与工程重点实验室,广西桂林 541004

刘娟(1981—),女,辽宁西丰人,博士生,工程师,主要从事岩土工程、地震工程等领域的教学与科研工作。E-mail:64136471@qq.com

兰景岩(1981—),男,黑龙江齐齐哈尔人,博士,教授,主要从事土动力学和岩土地震工程领域的研究工作。E-mail:lanjy1999@163.com

收稿日期: 2023-11-10

网络出版日期: 2024-09-04

基金资助

中国地震局工程力学研究所基本科研业务费专项(2021D31);广西自然科学基金(2021GXNSFAA220017);国家自然科学基金(52168067)

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Study on Probability Distribution Characteristics of Dynamic Shear Modulus and Damping Ratio of Red Clay

Liu Juan ,
Meng Yunlong ,
Xu Guodong ,
Lan Jingyan

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1. Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, P.R. China;
2. Key Laboratory of Earthquake Disaster Mitigation, Ministry of Emergency Management, Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, P.R. China;
3. College of Civil Engineering, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China;
4. Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China

Received date: 2023-11-10

Online published: 2024-09-04

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摘要

为探讨红黏土的动力学参数特征,揭示动剪切模量比与阻尼比在典型剪应变条件下的概率分布规律,本文以广西红黏土为研究对象,通过收集整理321组动力特性试验基础数据,给出了广西红黏土在典型剪应变条件下动剪切模量比与阻尼比随剪应变的试验推荐关系曲线,分析了不同概率水准条件下动剪切模量比和阻尼比的不确定性分布形态,并利用Boltzmann曲线给出了不同概率水准下动剪切模量比与阻尼比的上下限值及拟合公式。通过与前人给出的常规土类研究结果进行对比,初步揭示了红黏土动力特性与深度和剪应变的关系规律。研究表明:红黏土动剪切模量比、阻尼比在八组典型剪应变条件的上下限值随超越概率的变化呈现一定的规律,在数学形式上均满足Boltzmann方程。当剪应变在1×10^-4~1×10^-3时,动剪切模量比与阻尼比离散程度均达到最大。在同一剪应变条件下,随着超越概率的增大,红黏土动剪切模量比与阻尼比上下限之间的差距显著增大。

关键词： 红黏土; 概率分布; 动剪切模量比; 阻尼比; 上下限

本文引用格式

刘娟 , 蒙云龙 , 许国栋 , 兰景岩 . 红黏土动剪切模量比与阻尼比概率分布特征研究[J]. 地下空间与工程学报, 2024 , 20(4) : 1108 -1116 . DOI: 10.20174/j.JUSE.2024.04.06

Abstract

To investigate the dynamic parameter characteristics of red clay and reveal the probability distribution law of dynamic shear modulus ratio and damping ratio under typical shear strain conditions, taking the red clay in Guangxi province as the research object, 321 groups of basic data of dynamic characteristics test are collected and sorted out, and the test recommended relationship curves of dynamic shear modulus ratio (G/G_max) and damping ratio (λ) with shear strain under typical shear strain conditions are given, and the uncertainty distribution of dynamic modulus damping under different probability levels is analyzed. The upper and lower limit values and fitting formula of G/G_max under different probability levels are given by using the Boltzmann curve. The relationship between dynamic characteristics of red clay and depth and shear strain is preliminarily revealed by comparing with the research results of conventional soils given by predecessors. The results show that the upper and lower limits of the G/G_max and λ of red clay under typical shear strain conditions exhibit a certain pattern with the variation of exceedance probability, and the Boltzmann equation is applicable in mathematical form. When the shear strain is between 1×10^-4 to 1×10^-3, the dispersion degree of dynamic shear modulus ratio and damping ratio reaches the maximum. Under the same shear strain condition, with the increase of exceedance probability, the difference between the upper and lower limits of the G/G_max and λ of red clay significantly increases.

Key words： red clay; probability distribution; dynamic shear modulus ratio; damping ratio; upper and lower limits

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