基于序列二次规划(SQP)优化算法,以坝体有限元等效应力为应力约束条件,以坝体方量为目标函数,并考虑拱坝柱状浇筑、封拱灌浆等施工过程,进行拱坝体形优化计算.计算过程采用有限元全过程参数化分析方法,自动实现了拱坝的三维建模、荷载施加、施工过程模拟、有限元等效应力计算以及拱坝体形优化迭代等分析过程.以淋溪河拱坝为例进行了拱坝体形优化计算,计算结果表明,考虑施工过程的优化结果与不考虑施工过程的优化结果相比更加安全,也更具有实际意义,优化后的坝体厚度更薄,坝体方量减少近20%,拉、压应力已达到约束边界,优化后体形基本上达到了可能的最优体形.
A method for optimizing shape of arch dam based on sequential quadratic programming(SQP)algorithm is presented.This method adopts finite element equivalent stress as stress constraint condition and dam volume as objective function.The construction process such as arch dam columnar pouring and sealing arch grouting is taken into account as well.The parametric analysis is realized within the whole process of finite element calculation.All analysis procedures,including three-dimensional modeling of arch dam,load application,simulation of construction process,finite element analysis of equivalent stress and iteration of shape optimization of arch dam,can be carried out automatically.The proposed method is then illustrated with its application to the shape optimization of Linxihe arch dam.The results indicate that the optimized shape of arch dam considering construction process is of higher safety degree and practical guidance compared to that without considering construction process.When construction process is considered,the optimized shape of arch dam has thinner dam body;and the dan volume is decreased about 20%.The tensile and compressive stress zones both reach the constraint boundary.The optimized shape of arch dam basically attains its optimal status.