考虑冻土与结构相互作用的梯形渠道冻胀破坏弹性地基梁模型  

Elastic foundation beam model of frost heave damage of trapezoidal canal considering interaction between frozen soil and lining stucture

作　　者：肖旻[1,2] 王正中 刘铨鸿[1,2] 王羿[1,2] 葛建锐[1,2] 王兴威[1,2] 

机构地区：[1]西北农林科技大学水利与建筑工程学院,陕西杨凌712100 [2]西北农林科技大学旱区寒区水工程安全研究中心,陕西杨凌712100 [3]中国科学院寒区旱区环境与工程研究所冻土工程国家重点实验室,甘肃兰州730000

出　　处：《水利学报》2017年第10期1229-1239,共11页Journal of Hydraulic Engineering

基　　金：国家重点研发计划重点专项(2017YFC0405101);国家自然科学基金项目(51279168);国家科技支撑计划(2012BAD10B02);教育部博士点基金项目(20120204110024)

摘　　要：假定渠基冻土为服从Winkler假设的弹性地基,提出一种针对开放系统混凝土梯形渠道的衬砌冻胀力分布计算方法。基于弹性地基梁理论引入与冻胀变形成比例的附加项来反映衬砌冻胀变形引起的冻胀力释放和削减,导出考虑冻土与衬砌结构耦合作用的冻土地基梁挠曲线微分方程。基于此,对现浇混凝土梯形渠道底板和坡板分别建立冻胀模型,并结合边界条件对方程求解获得渠道底板和坡板挠度和内力的解析表达式,进而建立了基于衬砌冻胀位移计算的渠道衬砌冻胀破坏判断准则。以新疆塔里木灌区某梯形渠道为原型,对衬砌各点冻胀位移进行了计算,并与材料力学方法的计算结果及原型观测值进行了对比分析。结果表明,本文方法由于考虑了衬砌冻胀变形引起的冻胀力释放和削减,冻胀位移计算结果均较材料力学方法小,且与观测值更加符合。研究结果可为现浇混凝土梯形渠道的抗冻胀设计提供参考和理论依据。The article proposes a method to calculate frost heave force on lining plates for trapezoidal lining canal in open system by treating frozen soil as Winkler elastic foundation. Through introducing additional term proportional to deformation to reflect reduction of frost heave force caused by frost heaving deformation, differential equations of deflection of the beam on frozen soil are derived. The models of canal bottom and slope plates are established respectively, then analytic formula of deflection, moment and shearing force of both bottom and slope plates are proposed by solving aforementioned equations. By taking a trape- zoid canal in Tarim irrigation area as prototype, frost heave displacements of lining plates are calculated. The comparative analysis between the results calculated by the article method, material mechanical and observed value is carried out. The comparative results show that the results calculated by the article method are in accordance with observed value better, and are less than results calculated by material mechanical because of considering reduction of frost heave force caused by frost heaving deformation. The research will be useful for anti-frost design of trapezoidal channel.

关 键 词：冻土工程 灌溉渠道 冻胀 弹性地基梁 挠曲线微分方程 

分 类 号：S277[农业科学—农业水土工程] TV67[农业科学—农业工程]