中国机械工程
中國機械工程
중국궤계공정
CHINA MECHANICAl ENGINEERING
2014年
11期
1556-1561
,共6页
白中浩%卢静%王玉龙%费敬
白中浩%盧靜%王玉龍%費敬
백중호%로정%왕옥룡%비경
乘员约束系统%高维目标%优化%降维%Pareto解集
乘員約束繫統%高維目標%優化%降維%Pareto解集
승원약속계통%고유목표%우화%강유%Pareto해집
occupant restraint system%high-dimensional obj ective%optimization%reduction of di-mension%Pareto solution
为解决将高维目标变为单目标优化时各子目标不能同时较优,而多目标算法直接用于高维目标优化时又存在难以找到一个有代表性的Pareto非劣解集问题,在某轿车驾驶员侧约束系统的优化过程中提出了乘员损伤准则与多目标算法协同优化的方法。在已有相关损伤准则基础上根据最新版的FMVSS 208和ECE R94法规提出了适合研究问题的损伤准则;以提出的损伤准则为媒介,将一个高维目标优化问题降为一个低维目标优化问题,通过灵敏度分析、实验设计、多项式近似模型筛选出优化设计变量并得到近似模型,用多目标算法NSGA-Ⅱ对近似模型进行计算得到 Pareto 非劣解集,将得到的Pareto非劣解集中的每个解代入损伤准则损伤值计算公式,升序排列得到各子目标同时较优而损伤值最小的优化解。最终的优化结果表明:该方法很好地解决了乘员约束系统的高维目标优化问题,优化效果明显。
為解決將高維目標變為單目標優化時各子目標不能同時較優,而多目標算法直接用于高維目標優化時又存在難以找到一箇有代錶性的Pareto非劣解集問題,在某轎車駕駛員側約束繫統的優化過程中提齣瞭乘員損傷準則與多目標算法協同優化的方法。在已有相關損傷準則基礎上根據最新版的FMVSS 208和ECE R94法規提齣瞭適閤研究問題的損傷準則;以提齣的損傷準則為媒介,將一箇高維目標優化問題降為一箇低維目標優化問題,通過靈敏度分析、實驗設計、多項式近似模型篩選齣優化設計變量併得到近似模型,用多目標算法NSGA-Ⅱ對近似模型進行計算得到 Pareto 非劣解集,將得到的Pareto非劣解集中的每箇解代入損傷準則損傷值計算公式,升序排列得到各子目標同時較優而損傷值最小的優化解。最終的優化結果錶明:該方法很好地解決瞭乘員約束繫統的高維目標優化問題,優化效果明顯。
위해결장고유목표변위단목표우화시각자목표불능동시교우,이다목표산법직접용우고유목표우화시우존재난이조도일개유대표성적Pareto비렬해집문제,재모교차가사원측약속계통적우화과정중제출료승원손상준칙여다목표산법협동우화적방법。재이유상관손상준칙기출상근거최신판적FMVSS 208화ECE R94법규제출료괄합연구문제적손상준칙;이제출적손상준칙위매개,장일개고유목표우화문제강위일개저유목표우화문제,통과령민도분석、실험설계、다항식근사모형사선출우화설계변량병득도근사모형,용다목표산법NSGA-Ⅱ대근사모형진행계산득도 Pareto 비렬해집,장득도적Pareto비렬해집중적매개해대입손상준칙손상치계산공식,승서배렬득도각자목표동시교우이손상치최소적우화해。최종적우화결과표명:해방법흔호지해결료승원약속계통적고유목표우화문제,우화효과명현。
To solve the problems that each sub-goal cannot reach optimum at the same time when multiple obj ectives were integrated into a single obj ective optimization,and using multi-obj ective ge-netic algorithm for high-dimensional obj ective optimization it was hard to find a representative non-in-feriority Pareto solution,an optimization method coordinated occupant inj ury criteria with multi-ob-j ective evolutionary algorithm was proposed for optimizing the driver side restraint system of a passen-ger car.Based on the existed injury criterion and the latest version of FMVSS 208 and ECE R94,a new inj ury criterion (IC)was proposed for the problems mentioned above.The IC was used to reduce a high-dimensional obj ective optimization problem to a low-dimensional obj ective optimization prob-lem.Sensitivity analysis and experimental design were conducted to get an approximate model,and NSGA-Ⅱ evolutionary algorithm was used to calculate non-inferiority Pareto solution.Then every non-inferiority Pareto solution was put into the inj ufy formula,which ordered in ascending order,to obtain an optimization solution that each sub goal can reach optimum at the same time,meanwhile, the inj ury value was minimum.The optimized results show that high-dimensional optimization prob-lems of occupant restraint system are solved,and the effect of optimization is significant.