CAJ | 학술논문

普通城门洞形过水断面是泄洪隧洞较常采用的断面形式之一,其几何图形由槽形与圆弧曲线构成,过水断面水力要素为分段函数,正常水深的计算无论是查图表法还是迭代试算法都比较繁琐,计算误差较大,且依赖图表,不便于应用.为此,通过城门洞形断面均匀流方程的数学变换,并对引入的无量纲参数与相对临界水深的关系进行分析及计算,应用逐步优化拟合原理进行分段拟和,得到了城门洞形断面均匀流水深的直接计算式.实例计算及误差分析表明:在工程实用范围内(正常水深与拱顶半径之比在1.00到1.80之间),该公式最大相对误差仅为0.40%,且该式物理概念清晰明确、公式形式简捷,能为工程设计及水工设计手册的编制提供有益的参考.
보통성문동형과수단면시설홍수동교상채용적단면형식지일,기궤하도형유조형여원호곡선구성,과수단면수력요소위분단함수,정상수심적계산무론시사도표법환시질대시산법도비교번쇄,계산오차교대,차의뢰도표,불편우응용.위차,통과성문동형단면균균류방정적수학변환,병대인입적무량강삼수여상대림계수심적관계진행분석급계산,응용축보우화의합원리진행분단의화,득도료성문동형단면균균류수심적직접계산식.실례계산급오차분석표명:재공정실용범위내(정상수심여공정반경지비재1.00도1.80지간),해공식최대상대오차부위0.40%,차해식물리개념청석명학、공식형식간첩,능위공정설계급수공설계수책적편제제공유익적삼고.
It is difficult to calculate normal water depth of a arched section tunnel for its complex geometrical shape. From using the mathematics transformation method and the theory of optimization and regression to deal with the basis equation of the normal depth in arched section tunnel,a new direct formula is derived in this paper,which overcomes the shortage of other methods,such as chart looking up method,trial and error method and iterative trial method.This method is simpler and more accurate than other approximate methods with a maximum error of less than 0.40% in the utility range (ratio of critical depth to arch radius of 1.0-1.80). So,it will be useful in engineering practice and in course of compiling handbook of hydraulic structure design.