响应面模型与多目标遗传算法相结合的机床立柱参数优化  

Optimization for Machine Tool Column Combining Response Surface Model with Multi-Objective Genetic Algorithm

作　　者：于海莲[1] 王永泉[1] 陈花玲[1] 寸花英 

机构地区：[1]西安交通大学机械工程学院,西安710049 [2]沈机集团昆明机床股份有限公司,昆明650203

出　　处：《西安交通大学学报》2012年第11期80-85,共6页Journal of Xi'an Jiaotong University

基　　金：国家重大科技专项资助项目(2010ZX04001-021);教育部长江学者和创新团队发展计划资助项目(IRT1172);中央高校基本科研业务费专项资金资助项目(08143037)

摘　　要：针对传统方法在复杂机械结构优化设计中的低效性和局限性,提出了一种将响应面模型与多目标遗传算法相结合的优化设计方法.采用拉丁超立方试验的设计方法,在设计空间抽取样本点并进行数值模拟,建立了由7个设计参数所决定的立柱最大变形、首阶固有频率及质量的初始二阶响应面模型.利用多目标遗传算法对响应面模型进行循环逼近优化,得到了Pareto最优解集.仿真结果表明,在质量不变的条件下,优化解可使立柱首阶固有频率增加15.9%,导轨处最大变形减小7.7%,可通过有限次数的数值模拟计算获得设计空间内的近似最优解,因此较适用于机床及类似复杂结构的多目标多参数的优化设计.Focusing on inefficiency and inherent limitations in the traditional optimization methods for complex mechanical structures,an approximation loop optimization approach combining response surface model with multi-objective genetic algorithm is proposed to deal with the optimal design problem for a type of gantry column in machine tools.Investigating the weak links of the column found by static analysis and modal analysis,the double-objective optimization model is established.Then,the Latin hypercube experiment design scheme and the response surface method are combined to construct the initial second-order response surface models of three performance indexes,i.e.,the maximum column deformation,the first-order natural frequency,and its total mass,by fitting with seven design parameters.Furthermore,these response surface models are optimized by using the approximation loop technique of NSGA-Ⅱ,and a distributed Pareto solution set is finally obtained.Remaining the same total column mass,in the optimal solution,the first order natural frequency increases by 15.9% while maximum guide deformation decreases by 7.7%.The optimal solution within the design space can be approximated by limited times of CAE analysis.

关 键 词：响应面模型 多目标参数优化 循环逼近 龙门立柱 

分 类 号：TH122[机械工程—机械设计及理论]