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浙江大学学报(工学版)
浙江大学学报(工学版)  2019, Vol. 53 Issue (6): 1031-1039    DOI: 10.3785/j.issn.1008-973X.2019.06.002
土木与建筑工程     
不平顺路面对交通荷载引起的地基振动影响
陈瑶1,2(),蔡袁强1,3,曹志刚1,*(),王海江4
1. 浙江大学 滨海和城市岩土工程研究中心，浙江 杭州 310058
2. 浙江水利水电学院 建筑工程学院，浙江 杭州 310018
3. 浙江工业大学 建筑工程学院，浙江 杭州 310014
4. 绍兴市柯桥区交通工程质量安全监督站，浙江 绍兴 312030
Influences of pavement irregularity on ground vibrations generated by moving traffic load
Yao CHEN1,2(),Yuan-qiang CAI1,3,Zhi-gang CAO1,*(),Hai-jiang WANG4
1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
2. College of Civil Engineering and Architecture, Zhejiang University of Water Resources and Electric Power, Hang zhou 310014, China
3. College of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, China
4. Shaoxing Keqiao District Traffic Engineering Quality and Safety Supervision Station, Shaoxing 312030, China
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摘要：

为研究不平顺路面对交通荷载引起的成层地基振动的影响，建立交通荷载-不平顺路面-双层地基耦合模型，分别采用单相弹性介质理论与Biot饱和两相介质理论模拟地基上、下层土体，采用Kirchhoff薄板理论模拟路面系统，采用正弦曲线模拟不平顺路面；通过线性Hertzian接触模型得到不平顺路面引发的车轮-路面动力荷载. 采用Fourier变换求解系统控制方程，通过快速Fourier逆变换（IFFT）求得时域结果. 数值研究结果表明，不平顺路面引发的车轮-路面动力荷载对成层地基振动响应的影响不容忽视. 当上层土体模量较小时，动力荷载引起的地表加速度大于轴重荷载引起的加速度，是引起地表振动响应的主要因素；随着上层土体模量增大，动力荷载引起的振动相对减小，但仍不可忽略. 此外，动力荷载是引起下卧饱和土地基超静孔压响应的主要因素.
关键词： 成层地基;  不平顺路面;  交通荷载;  地基振动;  Biot波动理论    
Abstract:

A traffic load-uneven pavement-double-layered ground coupling model was established in order to study the influences of pavement irregularity on the vibrations of layered ground generated by moving traffic load. The upper and lower soil layers were simulated as elastic medium and a fully saturated poroelastic half-space governed by Biot’s theory, respectively. The pavement was simplified as a Kirchhoff thin plate, and the road surface irregularities were simulated by sine curves. The wheel-road dynamic loading was obtained through the linear Hertizian contact model. The governing equations of this coupling model were solved by the Fourier transform and the time-domain results were obtained by applying the inverse fast Fourier transform (IFFT). Numerical results show that the influence of wheel-pavement dynamic loading caused by pavement irregularity on the vibration of layered foundations cannot be ignored. When the shear modulus of the upper soil was small, the acceleration of the ground surface caused by the dynamic loading was greater than that caused by the axle load, which is the main factor that causes the ground surface vibration response. As the shear modulus of the upper soil layer increased, the vibration caused by the dynamic loading decreased, but it is still non-negligible. In addition, the dynamic loading is the main factor that causes the excess pore water pressure response in the lower saturated soil layer.
Key words: layered ground    pavement irregularity    traffic load    ground vibration    Biot’s theory
收稿日期: 2018-05-16 出版日期: 2019-05-22
CLC:  TU 435  
通讯作者: 曹志刚     E-mail: cy12@zju.edu.cn;caozhigang2011@zju.edu.cn
作者简介: 陈瑶（1989—），女，博士，从事土动力学研究.orcid.org/0000-0001-9364-2800. E-mail: cy12@zju.edu.cn
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引用本文:

陈瑶,蔡袁强,曹志刚,王海江. 不平顺路面对交通荷载引起的地基振动影响[J]. 浙江大学学报(工学版), 2019, 53(6): 1031-1039.

Yao CHEN,Yuan-qiang CAI,Zhi-gang CAO,Hai-jiang WANG. Influences of pavement irregularity on ground vibrations generated by moving traffic load. Journal of ZheJiang University (Engineering Science), 2019, 53(6): 1031-1039.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2019.06.002    或    http://www.zjujournals.com/eng/CN/Y2019/V53/I6/1031

图 1  交通荷载-不平顺路面-双层地基耦合模型
车辆整体参数 车轮与转向架参数
${W_t}/{\rm{kN}}$ $d/{\rm{m}}$ $\begin{gathered} {l_{\rm{f}}} \times {b_{\rm{f}}}/ \left( {{\rm{m}} \times {\rm{m}}} \right) \end{gathered} $ $\begin{gathered} {l_{\rm{r}}} \times {b_{\rm{r}}}/ \left( {{\rm{m}} \times {\rm{m}}} \right) \end{gathered} $ ${{k_1}/({\rm{N}} \cdot {{\rm{m}}^{{\rm{ - 1}}}})}$ ${k_2}/({\rm{N}} \cdot {{\rm{m}}^{{\rm{ - 1}}}})$ ${c_1}/({\rm{N}} \cdot {\rm{s}} \cdot {{\rm{m}}^{{\rm{ - 1}}}})$ ${c_2}/({\rm{N}} \cdot {\rm{s}} \cdot {{\rm{m}}^{{\rm{ - 1}}}})$
404.36 4.15 0.32×0.22 0.50×0.35 2 060 000 370 000 900 600
表 1  交通荷载-不平顺路面-双层地基耦合模型中的交通荷载参数
弹性土体参数 饱和土体参数
${\mu _{\rm{e}}}/({\rm{N}} \cdot {{\rm{m}}^{{\rm{ - 2}}}})$ ${h_{\rm{e}}}/{\rm{m}}$ ${\rho _{\rm{e}}}/({\rm{kg}} \cdot {{\rm{m}}^{ - 3}})$ ${\nu _{\rm{p}}}$ $\mu /({\rm{N}} \cdot {{\rm{m}}^{{\rm{ - 2}}}})$ ${\rho _{\rm{s}}}/({\rm{kg}} \cdot {{\rm{m}}^{ - 3}})$ $n$ $\nu $ $M/({\rm{N}} \cdot {{\rm{m}}^{{\rm{ - 2}}}}{\rm{) }}$ $b/({\rm{kg}} \cdot {{\rm{s}}^{ - 1}} \cdot {{\rm{m}}^{ - 1}})$
1×106~1×108 2 1 089.6 0.35 1×107 1816 0.4 0.35 1.2×108 1.22×106
表 2  交通荷载-不平顺路面-双层地基耦合模型中的地基土层参数
图 2  土体竖向正应力与剪切应力计算结果与已有文献的对比
图 3  车轮-路面动力荷载随激振频率的变化
图 4  地基 $y = z = 0$处土体竖向加速度时程曲线
图 5  地基土体竖向加速度响应随地基深度的变化
图 6  地基表层土体竖向加速度响应随地基上、下层土体剪切模量之比的变化
图 7  地基 $y = z = 0$处土体竖向正应力时程曲线
图 8  地基土体竖向正应力响应随地基深度的变化
图 9  地基表层土体竖向正应力响应随地基上、下层土体剪切模量之比的变化
图 10  地基饱和土体超静孔压响应随地基深度的变化
图 11  地基 $z = 2.5\;{\rm{ m}}$处土体超静孔隙水压随地基上、下层土体剪切模量之比的变化
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