心形线用于拱坝水平拱圈的探讨

Discussion on Application of Cardioid to Horizontal Arch Ring of Arch Dam

近年来拱坝的拱圈线型趋于多元化,有学者提出心形线作为拱坝水平拱圈的设想,但在拱圈布置时未充分考虑心形线的受力特性,存在一定的缺陷。进一步研究心形线的性质,优化心形线拱圈的布置,对推动拱坝设计技术的发展大有益处。通过数学推导初步摸清了心形线用于水平拱圈的一些基本性质,并提出了适合受力特点的心形线拱圈的新布置方式。拟定某已建工程相似的心形线拱坝体型,采用多拱梁法计算坝面应力,结果表明新体型与原体型应力差别不大,可以初步判断心形线用于拱坝体型设计是可行的,或许可以作为现有拱坝常见线型的一个补充,可待工程界进一步验证。

In recent years,arch ring types of arch dam tend to be diversified.Some scholars put forward the cardioid as the horizontal arch ring of arch dam.However,the stress characteristics of the cardioid are not fully considered when the arch ring is arranged,so there are certain defects.It is of great significance to further study the nature of the cardioid and optimize the arrangement of the cardioid arch ring for the development of arch dam design technology.This paper finds out some basic properties for cardioid as the horizontal arch ring through mathematical derivation,proposes a new type of cardioid arch ring arrangement with considering the stress characteristics,and calculates the stress of the dam surface by the multi-arch beam method based on the shape of a similar arch dam with cardioid in an existing project.The results show that the stress of the new arch dam is not much different from that of the original arch dam,so it can be preliminarily judged that the use of the cardioid in the shape design of arch dam is feasible,which can be considered as a supplement to the common ring types of arch dam and further verified by the engineering.