沥青混凝土心墙简化解析受力分析模型  

Simplified analytical force analysis model of asphalt concrete core

作　　者：高俊 党发宁[1] 李海斌 杨超[1] 任劼[1] GAO Jun;DANG Fa-ning;LI Hai-bin;YANG Chao;REN Jie(State Key Laboratory of Eco-hydraulics in Northwest Arid Region,Xi'an University of Technology,Xi'an,Shaanxi 710048,China;Sinohydro Corporation Engineering Bureau 15 Co.,Ltd.,Xi'an,Shaanxi 710065,China)

机构地区：[1]西安理工大学西北旱区生态水利国家重点实验室,陕西西安710048 [2]中国水电建设集团十五工程局有限公司,陕西西安710065

出　　处：《岩土力学》2019年第3期971-977,共7页Rock and Soil Mechanics

基　　金：国家自然科学基金项目(No.51679199);水利部公益性行业科研专项基金资助项目(No.201501034-04);陕西省科技统筹创新工程重点实验室项目(No.2014SZS15-Z01)~~

摘　　要：沥青混凝土心墙作为堆石坝的防渗结构,其受力安全备受工程领域的关注,对其进行快速简便地受力变形分析具有重要意义。利用薄板小挠度弯曲理论以及里兹法求解了置于Winkler弹性地基上三边固支一边自由矩形薄板在水压力作用下的挠曲变形函数,推导了矩形薄板的变形、内力和应力计算公式;建立了矩形薄板与实际沥青混凝土心墙之间的一一映射关系,将矩形薄板的变形、内力和应力映射到实际河谷断面心墙上,从而建立了沥青混凝土心墙简化解析受力分析模型。借助有限元方法对模型的可靠性进行了验证,最后将该模型应用于工程实例。研究结果表明,此模型有助于快速预估沥青混凝土心墙受力变形,同时研究思路也拓展了沥青混凝土心墙受力变形的计算方法。As the anti-seepage structure of the rock-fill dam, the force safety of asphalt concrete core is well concerned by the engineering field. So it is important to quickly and easily study the force and deformation of the asphalt concrete core. Firstly, the deflection deformation function of the rectangular thin plate with three sides clamped and one side free(CCCF) on the Winkler elastic foundation under the hydrostatic pressure is solved via the small deflection bending theory of the thin plate and Ritz method.Moreover, the deformation, internal force and stress calculation formulae of the CCCF rectangular thin plate are derivated. Secondly,the one-to-one mapping relation between the CCCF rectangular thin plate and the asphalt concrete core is established. The deformation, internal force and stress of the CCCF rectangular thin plate are transformed to the actual valley section core. Thus, a simplified analytical force analysis model of the asphalt concrete core is established. Then the reliability of the model is verified via the FEM. Finally, the simplified analytical force analysis model is applied to an engineering example. This model helps to quickly estimate the force and deformation of the asphalt concrete core. At the same time, the research idea expands the calculation method for the force and deformation of the asphalt concrete core.

关 键 词：沥青混凝土心墙坝 里兹法 矩形薄板 挠曲变形函数 Winkler弹性地基 

分 类 号：TV641[水利工程—水利水电工程]