考虑界面摩阻的加筋垫层状态空间分析方法  

State-space Analysis Method for the Reinforced Cushion Considering Interfacial Friction

作　　者：王金昌[1] 高钰 郑直 段冰 黄伟明 WANG Jinchang;GAO Yu;ZHENG Zhi;DUAN Bing;HUANG Weiming(College of Civil Engineering and Architecture,Zhejiang University,Hangzhou,China,310058;School of Transportation Engineering,Dalian Maritime University,Dalian,China,116026;Zhejiang Institute of Communication Co.Ltd.,Hangzhou,China,310058;College of Architecture and Civil Engineering,Wenzhou University,Wenzhou,China,325035)

机构地区：[1]浙江大学建筑工程学院,浙江杭州310058 [2]大连海事大学交通运输工程学院,辽宁大连116026 [3]浙江省数智交院科技股份有限公司,浙江杭州310058 [4]温州大学建筑工程学院,浙江温州325035

出　　处：《沈阳建筑大学学报（自然科学版）》2023年第2期211-218,共8页Journal of Shenyang Jianzhu University：Natural Science

基　　金：国家自然科学基金青年基金项目(52108341);浙江省交通运输厅项目(ZJXL-JTT-202201A)。

摘　　要：目的 快速求解加筋垫层的力学响应,为加筋垫层的设计提供一种新的解析分析方法。方法 基于Euler-Bernoulli梁理论,将加筋垫层视作Winkler地基上的欧拉直梁,考虑加筋垫层顶部与底部接触界面的摩阻作用,建立在任意竖向荷载作用下加筋垫层静力响应问题的状态空间方程;通过与已有文献、有限元的计算结果对比,验证解析方法的有效性。结果 界面摩阻作用能减小加筋垫层的变形,且其对集中荷载作用点的变形影响较大;增大垫层的厚度与弹性模量可以减小结构的变形,但随着数值的增大,减小的效果逐渐减弱;垫层的厚度与弹性模量仅对集中荷载作用点的变形影响较大,而地基反力系数对所有位置的竖向位移及集中荷载作用处的截面转角影响均较大。结论 界面摩阻对集中荷载作用处的变形影响较大,在计算分析时不能忽略;在实际工程中,可通过选择合适的弹性模量和厚度、提高地基反力来减小结构变形。To quickly solve the responses of reinforced cushions,a new analytical method was proposed based on the Euler-Bernoulli beam theory.The reinforced cushion was simplified as a beam on the Winkler foundation.A state equation was established for analyzing responses of the reinforced cushion considering the interfacial friction under the action of an arbitrary vertical load,and solved according to matrix theory.The solution was verified by a comparison with the results of the finite element and existing literature.The parameter analyses showed that the interfacial friction has a great influence on the deformation near the point of the concentrated load.Thus,interfacial friction could not be ignored.The settlement and bending deformation of the reinforced cushion are reduced by increasing the thickness and elastics of the reinforced cushion.The foundation reaction coefficient has a significant influence on the settlement at all positions and the rotational angle of the section at the concentrated load point.

关 键 词：道路工程 加筋垫层 Euler-Bernoulli梁理论 界面摩阻 状态空间法 

分 类 号：TU471.2[建筑科学—结构工程] U416.1[建筑科学—土工工程]