摘要
以湿周最小为目标函数,均匀流公式为约束条件,应用拉格朗日乘子法求解,推导配水衬砌渠道横断面的非线性规划模型。并对常用渠道横断面的湿周和过水断面进行定量分析、比较,结合工程实践,推荐梯形和U形2种最优衬砌横断面型式。这一方法可克服目前配水衬砌渠道设计中的经验性和随意性,并可节省大量投资。
With the purpose of minimizing wet perimeter, limited by the average flow, this paper deduces the nonliner programming models of the crosssection of lined canal by method of lagrangian multipliers. It also analyses wet perimeter and water crosssection of the common lined canals crosssection. It presents two optimal crosssection of lined canal, one is trapezoid canal, the other is U shaped canal.
基金
江苏省自然科学基金