基于传递-反射矩阵法的层状公路结构动力响应研究  

Study of dynamic response of multilayered road structures based on transmission-reflection matrix method

作　　者：卢正[1] 姚海林[1] 胡梦玲[1] 王长柏[2] 

机构地区：[1]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉430071 [2]安徽理工大学土木建筑学院,安徽淮南232001

出　　处：《岩土力学》2012年第12期3767-3774,3809,共9页Rock and Soil Mechanics

基　　金：国家自然科学基金(No.51209201;No.51279198);武汉市青年科技晨光计划项目(No.201150431070);西部交通建设科技项目(No.2011318493720;No.20113184931700;No.2011318775680)

摘　　要：利用传递-反射矩阵方法和叠加原理推导了双轮胎振动荷载作用下弹性层状公路结构的动力响应解,并利用Hankel数值逆变换技术进行了数值求解。弹性层状结构的传递-反射矩阵同时具有单个矩阵尺寸小、矩阵元素只含有负指数项2个优点,计算结果不受土层单元厚度与荷载频率大小的影响,可以大幅提高计算效率和精度。通过将数值计算与室内模型试验结果进行比较,验证了方法的正确性。在此基础上,分析了面层厚度及模量对层状公路结构动应力、动位移的影响程度和规律,得出了一些有意义的结论。研究结果可为公路路面、路基结构设计提供参考。The theoretical solutions of elastic multilayered road structures under dynamic double-circular loads are derived using the transmission-reflection matrix （TRM） method and the superposition principle. By employing inverse Hankel transformation, the numerical results are obtained. The transmission-reflection matrices of elastic layered structure are of small size and free of any numerically unstable exponential terms which may greatly increase its efficiency and accuracy in applications. As a result, the TRM method can be valid for the large layer thickness and high frequency cases. The presented methodology is validated by comparing solutions with laboratory model tests. Some numerical results are presented and used to analyze the influence of pavement thickness and modulus on the vertical stress and displacement. The research results can be for reference in design of the road pavement and subgrade.

关 键 词：传递-反射矩阵方法 层状公路结构 动力响应 HANKEL变换 路面设计 

分 类 号：TU433[建筑科学—岩土工程]