基于应变能与模糊贴近度的拱坝体形稳健优化设计  

Robust Shape Optimization Design for Arch Dams Based on Strain Energy and Fuzzy Nearness

作　　者：闫超君[1] 孙林松 

机构地区：[1]安徽水利水电职业技术学院,安徽合肥231603 [2]扬州大学水利与能源动力工程学院,江苏扬州225009

出　　处：《水利与建筑工程学报》2016年第5期37-40,49,共5页Journal of Water Resources and Architectural Engineering

基　　金：国家自然科学基金项目(51279174)

摘　　要：在拱坝体形优化设计时,以坝体应变能及其对基岩变形模量的灵敏度为目标函数,建立了拱坝体形稳健优化设计模型。具体求解时,首先对各分目标进行单目标优化,得到理想解,然后通过构造目标函数向量与理想解目标向量的模糊贴近度,将稳健优化模型转化为求最大模糊贴近度的单目标优化问题。结合某拟建拱坝的工程算例表明,相比于线性加权法,模糊贴近度法的优化结果更靠近理想解,坝体的应力状态更优。In the optimization shape design of arch dam,a robust optimization model for shape design of arch dams based on strain energy was proposed,in which strain energy of dam body and its sensitivity to the deformation modulus of foundation considered as objective functions and robust feasibility constraint of stress was adopted. In the solution process,firstly,utopia solution was obtained by single-objective optimizing of each objective function. Secondly,a fuzzy nearness between a solution and utopia solution is constructed. Finally,robust feasibility optimization model is transformed to a single-objective optimization problem to maximize the fuzzy nearness. The calculation of a planned arch dam indicates that compared to the solution of linear weighted sum method,the optimal design of fuzzy nearness method is closer to utopia solution and with better dam stress state.

关 键 词：应变能 模糊贴近度 稳健优化 拱坝 

分 类 号：O224[理学—运筹学与控制论]