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浙江大学学报(工学版)
浙江大学学报(工学版)  2023, Vol. 57 Issue (7): 1410-1417    DOI: 10.3785/j.issn.1008-973X.2023.07.016
土木工程     
流变性土排桩地基的禁振带隙
杨华中1(),赵建昌1,*(),余云燕1,王立安2
1. 兰州交通大学 土木工程学院，甘肃 兰州 730070
2. 兰州交通大学 铁道技术学院，甘肃 兰州 730070
Vibration suppression band gap of rheological soil row piles foundation
Hua-zhong YANG1(),Jian-chang ZHAO1,*(),Yun-yan YU1,Li-an WANG2
1. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
2. School of Railway Technology, Lanzhou Jiaotong University, Lanzhou 730070, China
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摘要：

基于时间依赖性模量推导流变性土的动阻尼表达式，构建桩-土周期结构的连续介质模型，利用多重散射法计算桩-土周期系统的能带结构和带隙. 通过算例分析，分析流变性土排桩地基中剪切波的带隙特征及参数影响. 结果表明，流变性土的阻尼比随频率发生非单调性变化，初始和最终状态的模量比决定阻尼比的幅值，而松弛时间决定阻尼比随频率的变化速率. 土体的流变性导致实际工程中排桩地基的带隙频率高于理论值，且带宽减小，减弱了排桩的隔振效果，消除桩周土的流变性将有利于排桩发挥隔振作用.
关键词： 流变性土;  排桩;  周期结构;  多重散射法;  禁振带隙    
Abstract:

The dynamic damping expression of rheological soil was derived based on the time-dependent modulus, and the continuum model of the pile-soil periodic structure was constructed. The energy band structure and band gap of the pile-soil periodic system were calculated by using the multiple scattering method. The band gap characteristics and parameter influence of shear wave in rheological soil pile foundation were analyzed through an example. Results showed that the damping ratio of rheological soil changed non-monotonously with frequency. The amplitude of damping ratio was determined by the initial and final modulus ratio, and the change rate of damping ratio with frequency was determined by the relaxation time. The rheological properties of the soil lead to a higher frequency of band gaps in the actual engineering of row pile foundations than the theoretical value, and the bandwidth decreases, weakening the vibration isolation effect of row piles. Eliminating the rheological properties of the soil around the piles will be conducive to the vibration isolation effect of row piles.
Key words: rheological soil    row pile    periodic structure    multiple scattering method    vibration suppression band gap
收稿日期: 2022-07-07 出版日期: 2023-07-17
CLC:  TU 470  
基金资助: 甘肃省自然科学基金资助项目（22JR11RA155）；兰州交通大学青年科学基金资助项目（1200061136）
通讯作者: 赵建昌     E-mail: 419403362@qq.com;13609382011@163.com
作者简介: 杨华中（1979—），男，博士生，从事结构工程研究. orcid.org/0009-0004-8081-7711. E-mail： 419403362@qq.com
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杨华中
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引用本文:

杨华中,赵建昌,余云燕,王立安. 流变性土排桩地基的禁振带隙[J]. 浙江大学学报(工学版), 2023, 57(7): 1410-1417.

Hua-zhong YANG,Jian-chang ZHAO,Yun-yan YU,Li-an WANG. Vibration suppression band gap of rheological soil row piles foundation. Journal of ZheJiang University (Engineering Science), 2023, 57(7): 1410-1417.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2023.07.016    或    https://www.zjujournals.com/eng/CN/Y2023/V57/I7/1410

图 1  桩-土周期结构的分析模型
图 2  阻尼比随频率的变化曲线
图 3  第一不可约布里渊域
图 4  本文退化解与文献[26]解的对比图
参数 参数值
ρs/(kg·m?3) 1 900
μ0/ MPa 30
vs 0.25
ρp/(kg·m?3) 2 500
λp/GPa 8.3
μp/GPa 12.5
r0/m 0.65
a/m 2
表 1  土和桩的计算参数表
图 5  常阻尼模型与流变模型的带隙结果对比
η (ξd)max Rayleigh模型 流变模型(τ = 0.001 s)
[fl, fu] fu? fl [fl, fu] fu? fl
1 0 [0.619, 0.730] 0.111 [0.619, 0.730] 0.111
1.2 0.083 [0.620, 0.731] 0.111 [0.704, 0.781] 0.077
1.4 0.149 [0.621, 0.732] 0.111 [0.719, 0.788] 0.069
2.0 0.283 [0.626, 0.737] 0.111 [0.760, 0.809] 0.049
10 0.606 [0.648, 0.759] 0.111 [0.915, 1.096] 0.181
100 0.697 [0.657, 0.765] 0.108 [1.165, 1.608] 0.443
200 0.702 [0.659, 0.766] 0.107 [1.383, 1.790] 0.407
表 2  不同阻尼比取值下的带隙结果
图 6  带隙随模量比的变化曲线
图 7  松弛时间对带隙的影响
图 8  带隙随桩基填充率的变化曲线
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