三维层状路面结构动力响应的混合变量法

王妍; 林皋

doi:10.11779/CJGE201812010

三维层状路面结构动力响应的混合变量法 English Version

王妍^1,2,
林皋^1,2

1. 大连理工大学海岸与近海岸工程国家重点实验室,辽宁大连 116024;
2. 大连理工大学工程抗震研究所建设工程学部水利工程学院,辽宁大连 116024

基金项目: 国家重点研发计划项目（2016YFB0201001）; 创新群体“工程安全与监控”Ⅱ期国家自然科学基金项目（51421064）

详细信息

作者简介:
王妍(1989- ),女,博士研究生,主要从事结构与地基的动力响应分析。E-mail: wangyanchn@mail.dlut.edu.cn。

中图分类号: TU43
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出版历程
- 收稿日期: 2017-09-24
- 发布日期: 2018-12-24

Mixed variable formulation for dynamic response of 3D layered road structures

WANG Yan^1,2,
LIN Gao^1,2

1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;
2. Institute of Earthquake Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 提出了三维多层路面结构动力响应分析的混合变量法和精细积分方法。通过Fourier-Bessel变换,将频率波数域内的偏微分波动方程解耦为两组二阶常微分方程,一组相应于P-SV波动分量,一组相应于SH波动分量。引入位移的对偶向量,将二阶常微分方程进一步简化为一阶齐次常微分方程,其解为指数函数,采用精细积分法可以获得很高的计算精度。此外,将解表示成混合变量形式,便于多层体系的合并和提高计算效率。该方法适用于任意荷载分布,计算稳定,便于计算机编程。将计算结果与BISAR软件结果及试验结果进行比较,验证了方法的精确性与合理性。在此基础上,分析了轮胎荷载作用下路面结构的变形特点及应力分布情况。研究结果可为公路路面结构设计提供参考。
- 混合变量法 /
- 层状路面结构 /
- 动力响应 /
- Green函数 /
- 动刚度矩阵
Abstract: A mixed variable formulation and the relevant precise integration method are proposed for the dynamic response analysis of multilayered road structures. By performing the Fourier-Bessel transform, the partial differential wave motion equation in the frequency wave number domain can be decoupled into two sets of second-order ordinary differential equations, one for P-SV components and the other for SH components. By introducing the dual vectors of stress and displacement, the second-order ordinary differential equation is further reduced to a homogeneous first-order one. The solution is in the form of an exponential function. By employing the precise integration method, very high accuracy can be achieved. Furthermore, the mixed variable formulation of the solution of wave motion equation facilitates the assembly of layers and improves the computational efficiency. The proposed method is applicable to arbitrary distribution of loads. The computation is stable and convenient for the computer programming. The accuracy and rationality of the proposed method are verified by comparing the solutions with the BISAR software and the experimental results. Some numerical results are presented to reflect the deformation characteristics and stress distribution of the road structures under the tire loads. The research results are useful for the design of road pavement structures.
- mixed variable formulation /
- layered road structure /
- dynamic response /
- Green's function /
- dynamic impedance matrix

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参考文献(15)

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三维层状路面结构动力响应的混合变量法 English Version

作者简介: 王 妍(1989- ),女,博士研究生,主要从事结构与地基的动力响应分析。E-mail: wangyanchn@mail.dlut.edu.cn。

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Mixed variable formulation for dynamic response of 3D layered road structures

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作者简介:
王妍(1989- ),女,博士研究生,主要从事结构与地基的动力响应分析。E-mail: wangyanchn@mail.dlut.edu.cn。