考虑温度效应的圆形均布载荷下沥青混凝土场坪的动力响应分析

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (19) : 88-93.

论文

张震东1，马大为1，杨云2，何强1

作者信息 +

Dynamic response of asphalt launching site under circular distributed load considering temperature effect

Zhang Zhen-dong1 Ma Da-wei1 Yang Yun2 He Qiang1

Author information +

文章历史 +

摘要

对粘弹性材料的积分型本构关系进行Laplace积分变换，推导出采用广义Maxwell模型描述的粘弹性算子，并引入“时温等效”原理来反映温度对沥青混凝土力学性能的影响。将直角坐标系下粘弹性问题的动力平衡方程、几何方程以及物理方程进行Laplace变换和二维Fourier变换，建立了多层粘弹性体系的传递关系。在此基础上，根据已知边界条件给出了场坪表面垂向位移的求解方法，并利用Matlab软件编写计算程序。以三层沥青混凝土场坪为例，分析了考虑温度效应的圆形均布动载荷下场坪的动力响应。结果表明，温度越高，场坪下沉量越大，局部弯沉现象越明显，残余变形也愈大。

Abstract

By transforming viscoelastic integral constitutive equation into Laplace style, the viscoelastic operator described by Maxwell model is deduced. Then time-temperature superposition principle is introduced to reflect the influence of temperature on mechanical property of asphalt concrete. By means of Laplace transformation and Fourier transformation of dynamic equilibrium equation、geometric equation and physical equation, transfer matrix of axisymmetrical problems in multi-layered viscoelastic half space is derived in rectangular coordinate system. Based on the transitive relation and known boundary condition, the solution of vertical displacement is given and arithmetic program is complied by using MATLAB software. Take three layers launching site as example, the dynamic response under circular distributed load is analyzed. Results indicate that the settlement and residual deflection increase gradually as temperature increases. The higher the temperature, the more obvious the local deflection phenomenon.

导出引用

张震东1，马大为1，杨云2，何强1. 考虑温度效应的圆形均布载荷下沥青混凝土场坪的动力响应分析[J]. 振动与冲击, 2016, 35(19): 88-93

Zhang Zhen-dong1 Ma Da-wei1 Yang Yun2 He Qiang1. Dynamic response of asphalt launching site under circular distributed load considering temperature effect[J]. Journal of Vibration and Shock, 2016, 35(19): 88-93

参考文献

[1] 任瑞波, 谭忆秋, 张肖宁. FWD动载荷作用下沥青路面层状体粘弹性解与弹性解分析[J]. 哈尔滨建筑大学学报, 2001, 34(5): 116-120.
    REN Rui-bo, TAN Yi-qiu, ZHANG Xiao-ning. So1ution of multilayered viscoeIastic and elastic bodies of asphalt pavement under action of FWD dynamical load[J]. Journal of Harbin University of C. E. & Architecture, 2001, 34(5): 116-120.
[2] 任瑞波, 谭忆秋, 张肖宁. FWD动载荷作用下沥青路面层状体路表弯沉的求解[J]. 中国公路学报, 2001, 14(2): 9-17.
    REN Rui-bo, TAN Yi-qiu, ZHANG Xiao-ning. Solution for solving asphalt pavement multilayered viscoelastic body surface deflection in the FWD dynamic case[J]. China Journal of Highway and Transport, 2001, 14(2): 9-17.
[3] 王有凯, 牛婷婷. 直角坐标系下层状地基力学计算中的传递矩阵技术[J]. 工程力学, 2007, 24(z1): 83-86.
    WANG You-kai, NIU Ting-ting. The method of transferring matrix for multi-layered half space elastic problems in rectangular coordinate system[J]. Engineering Mechanics, 2007, 24(z1): 83-86.
[4] 艾智勇, 吴超. 三维直角坐标系下分层地基的传递矩阵解[J].重庆建筑大学学报, 2008, 30(2): 43-46.
    AI Zhi-yong, WU Chao. Transfer matrix solutions for multi-layered soils in rectangular coordinate system[J]. Journal of Chongqing Jianzhu University, 2008, 30(2): 43-46.
[5] 汤连生, 徐通, 林沛元, 于海涛. 交通荷载下层状道路系统动应力特征分析[J]. 岩石力学与工程学报, 2009, 28(z2): 3876-3884.
    TANG Lian-sheng, XU Tong, LIN Pei-yuan, YU Hai-tao. Study on dynamic stress characters of layered road system under traffic loading [J]. Chinese Journnl of Rock Mechnnics and Engineering, 2009, 28(z2): 3876-3884.
[6] 董忠红, 吕彭民. 移动荷载下粘弹性层状沥青路面动力响应模型[J]. 工程力学, 2011, 28(12): 153-159.
    DONG Zhong-hong, LU Peng-min. A model to study the dynamic response of viscoelastic layered system under moving load[J]. Engineering Mechanics, 2011, 28(12): 153-159.
[7] 李皓玉, 杨绍普, 刘进, 司春棣. 移动分布荷载下层状粘弹性体系的动力响应分析[J]. 工程力学, 2015, 32(1): 120-127.
    LI Hao-yu, YANG Shao-pu, LIU Jin, SI Chun-di. Dynamic response in multilayered viscoelastic medium generated by moving distributed loads[J]. Engineering Mechanics, 2015, 32(1): 120-127.
[8] 艾智勇, 王陆君, 曾凯. 稳定温度场下层状路面体系的解析层元解[J]. 同济大学学报(自然科学版), 2014, 42(11): 1665-1669.
    AI Zhi-yong, WANG Lu-jun, ZENG Kai. Analytical layer-element solution for layered pavement in stable temperature field[J] Journal of Tongji University (natural science), 2014, 42(11): 1665-1669.
[9] 刘小云, 史春娟. 车辆荷载下沥青路面动力响应随机特性及可靠性分析[J]. 中国公路学报, 2012, 25(6): 49-55.
    LIU Xiao-yun, SHUI Chun-juan. Random characteristics and reliability analysis of asphalt pavement under vehicle random load[J] China Journal of Highway and Transport, 2012, 25(6): 49-55.
[10] 史春娟, 吕彭民. 基于非线性模型的沥青路面动力响应研究[J]. 工程力学, 2013, 30(2): 326-347.
    SHI Chun-juan, LÜ Peng-min. Study on the dynamic response of asphalt pavement based on the nonlinear viscoelastic model[J]. Engineering Mechanics, 2013, 30(2): 326-347.
[11] 卢正, 姚海林, 胡智. 基于车辆-道路结构耦合振动的不平整路面动力响应分析[J]. 岩土工程学报, 2013, 35(z1): 232-238.
    LU Zheng, YAO Hai-lin, HU Zhi. Dynamic response analysis of rough pavement under vehicle-road system coupled vibration[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(z1): 232-238.
[12] 张震东, 马大为, 任杰, 何强等. 冷发射装备对地载荷作用下预设场坪的动力响应[J]. 兵工学报, 2015, 36(2): 279-286.
    ZHANG Zhen-dong, MA Da-wei, REN Jie, HE Qiang et al. Dynamic Response of Cold Launching Equipment to Prepared Launching Site Subjected to Loading[J]. Acta ArmamentarII, 2015, 36(2): 279-286.
[13] 赵延庆, 钟阳. 沥青路面动态粘弹性相应分析[J]. 振动与冲击, 2009, 28(9): 159-162.
    ZHAO Yan-qing, ZHONG Yang. Dynamic response analysis of viscoelastic asphalt mixtures pavement[J]. Journal of Vibration and Shock, 2009, 28(9): 159-162.
[14] 张丽娟, 陈页开. 重复荷载下沥青混合料变形的粘弹性有限元分析[J]. 华南理工大学学报(自然科学版), 2009, 37(11): 12-16.
    ZHANG Li-juan, CHEN Ye-kai. Viscoelastic finite element analysis of deformation of asphalt mixtures under repeated load[J]. Journal of South China University of Technology (Natural Science Edition) , 2009, 37(11): 12-16.
[15] 周晓和, 马大为, 胡建国, 仲建林. 某导弹无依托发射场坪动态响应研究[J]. 兵工学报, 2014, 35(10): 1595-1603.
    ZHOU Xiao-he, MA Da-wei, HU Jian-guo, ZHONG Jian-lin. Research on dynamic response of Launching Site for missile unsupported random launch[J]. Acta ArmamentarII, 2014，35(10): 1595-1603.
[16] 钱国平, 郭忠印, 郑健龙, 周志刚. 环境条件下沥青路面热粘弹性温度应力计算[J]. 同济大学学报, 2003, 31(2): 150-155.
    QIAN Guo-ping, GUO Zhong-yin, ZHENG Jian-long, ZHOU Zhi-gang. Calculation for thermal stress of asphalt pavement under environmental conditions based on thermalviscoelasticity theory[J]. Journal of Tongji University, 2003, 31(2): 150-155.
[17] Durbin F. Numerical inversion of laplace transforms．an efficient improvement to dubner and abate's method[J]．The Computer Journal, 1973,17(4): 371-376.