沈阳航空航天大学学报
瀋暘航空航天大學學報
침양항공항천대학학보
JOURNAL OF SHENYANG INSTITUTE OF AERONAUTICAL ENGINEERING
2014年
2期
87-90
,共4页
极值函数%最小二乘法%节点惯性力%载荷转换
極值函數%最小二乘法%節點慣性力%載荷轉換
겁치함수%최소이승법%절점관성력%재하전환
extremal function%least-squares%nodal mass force%conversion of loads
针对飞机的非结构质点的惯性力难以施加在有限元模型上的问题，构建了惯性力的极值函数，基于最小二乘法理论将飞机上任意质点的惯性力转换到该质点附近区域的有限元节点之上。该方法实现了飞机的非结构质点的惯性载荷以有限元节点力的形式进行加载，解决了飞机的连接件、燃油、设备等质点的惯性力加载的问题。理论分析与实际工程计算表明，该方法可以用于全机有限元载荷的平衡计算，计算精度满足实际工程需求。
針對飛機的非結構質點的慣性力難以施加在有限元模型上的問題，構建瞭慣性力的極值函數，基于最小二乘法理論將飛機上任意質點的慣性力轉換到該質點附近區域的有限元節點之上。該方法實現瞭飛機的非結構質點的慣性載荷以有限元節點力的形式進行加載，解決瞭飛機的連接件、燃油、設備等質點的慣性力加載的問題。理論分析與實際工程計算錶明，該方法可以用于全機有限元載荷的平衡計算，計算精度滿足實際工程需求。
침대비궤적비결구질점적관성력난이시가재유한원모형상적문제，구건료관성력적겁치함수，기우최소이승법이론장비궤상임의질점적관성력전환도해질점부근구역적유한원절점지상。해방법실현료비궤적비결구질점적관성재하이유한원절점력적형식진행가재，해결료비궤적련접건、연유、설비등질점적관성력가재적문제。이론분석여실제공정계산표명，해방법가이용우전궤유한원재하적평형계산，계산정도만족실제공정수구。
Aimed atthe problem thatthe none-structuredmass force of aircraft is very difficult in being loaded in the Finite Element Model,extremal function of mass force is set up,which spreads the concentrated mass force of any nodetothe finite element node of the domain nearby in the light of the least squares. This method achieves thatthe none-structured mass force of aircraft can be converted into the nodal forces of finite ele-ment,which solved the problems about the mass force loading of connecting pieces,fuel,equipment,etc. Ac-cording to theoreticalanalysis and actual calculation,this method can be applied in calculating aircraft’s bal-anceable load of finite element and the accuracycan be satisfied in practice.
