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微类桁架点阵结构填充内冷通道的多目标优化设计 被引量:15

Multi-Objective Optimization Design of Micro-Class Truss Lattice Structure for Filling Internal Cooling Channel
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摘要 为发展集热控、承载和轻量化于一体的新型冷却结构,提出采用点阵结构替代肋片,即在内冷通道中填充金字塔型和X型点阵结构,并对其进行了多目标优化。采用1阶固有频率、等效弹性模量和相对密度来评价结构的振动和轻量化性能,采用翅片法推导的努塞尔数来评价结构的换热性能,以点阵结构的杆件直径和杆件倾角为设计变量,以通道内点阵结构尺寸受限制和杆件屈曲为约束条件,建立了多目标优化模型,并采用NSGA-Ⅱ遗传算法求解。研究结果表明:对于努塞尔数和相对密度的双目标优化,优化问题对努塞尔数的整体敏感性高于相对密度;对于努塞尔数-相对密度-1阶固有频率的多目标优化问题,整体敏感性从高到低依次为1阶固有频率、努塞尔数、相对密度。分别给出了两类优化问题的Pareto解的拟合公式,可为点阵结构填充内冷通道的多目标优化设计提供指导。 In order to develop a new cooling structure which is light in weight and has excellent heat control and load-bearing performance,a lattice structure is proposed to replace fin structure.The pyramid and X-lattice structures are selected to fill the internal cooling channels.A multiobjective optimization was conducted to design the new structure.The first-order natural frequency,equivalent elasticity modulus and relative density are used to evaluate the vibration characteristics and lightweight feature of the structure.The heat transfer performance of the structure is evaluated by using the Nussel number derived from the fin method.The diameter and inclination of the rod are taken as the design variables,and the constraints are the limitation of the lattice structure size and the bearable buckling of the rod;then a multi-objective optimization model is established and solved by using the NSGA-II genetic algorithm.The results show that the overall sensitivity to Nussel number is higher than that to relative density for the twoobjective optimization problem aiming at Nussel number and relative density;and for the multiobjective optimization problem aiming at Nusselt number,relative density and first-order natural frequency,the rank of overall sensitivity from high to low is:first-order natural frequency,Nussel number,and relative density.Moreover,the Pareto frontier fitting formulas for two kinds of optimization problems are given,which may provide a guidance for the multi-objective optimization of the new lattice structure for filling internal cooling channels.
作者 徐亮 谌清云 席雷 高建民 李云龙 XU Liang;SHEN Qingyun;XI Lei;GAO Jianmin;LI Yunlong(State Key Laboratory of Mechanical Manufacturing Systems Engineering,Xi’an Jiaotong University,Xi’an 710049,China;Institute of Xi’an Jiaotong University Shunde Guangdong,Foshan,Guangdong 528000,China)
出处 《西安交通大学学报》 EI CAS CSCD 北大核心 2020年第3期1-11,共11页 Journal of Xi'an Jiaotong University
基金 国家自然科学基金资助项目(51876157) 广东省自然科学基金资助项目(2018A030313183) 中央高校基本科研业务费专项资金资助项目(xjj2018044)
关键词 冷却结构 金字塔型 X型 点阵结构 多目标优化 cooling structure pyramid type X type lattice structure multi-objective optimization
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