振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
1期
94-103
,共10页
王锋%贺伟%毛鹏飞%张小庆
王鋒%賀偉%毛鵬飛%張小慶
왕봉%하위%모붕비%장소경
脉冲风洞%动力学建模%载荷辨识%正则化%反问题
脈遲風洞%動力學建模%載荷辨識%正則化%反問題
맥충풍동%동역학건모%재하변식%정칙화%반문제
impulse facilities%structural dynamic modeling%load identification%regularization%inverse problem
将载荷辨识技术应用于脉冲燃烧风洞模型测力。用子结构综合法建立了测力试验系统的动力学模型,在时域内将动力学方程进行离散,建立起天平测量信号与模型气动载荷历程之间的线性关系,作为载荷辨识的模型。采用Tikhonov 正则化和子空间投影法相结合的混合正则化方法,将高维的、不适定的载荷辨识问题转化为低维的适定问题,以利于快速求解。提出了一种新方法来确定合适的投影子空间维数,然后应用 L 曲线准则来寻找低维正则化问题的最优正则化参数。最后通过算例验证了系统建模方法的精度和载荷辨识算法的有效性与稳定性。
將載荷辨識技術應用于脈遲燃燒風洞模型測力。用子結構綜閤法建立瞭測力試驗繫統的動力學模型,在時域內將動力學方程進行離散,建立起天平測量信號與模型氣動載荷歷程之間的線性關繫,作為載荷辨識的模型。採用Tikhonov 正則化和子空間投影法相結閤的混閤正則化方法,將高維的、不適定的載荷辨識問題轉化為低維的適定問題,以利于快速求解。提齣瞭一種新方法來確定閤適的投影子空間維數,然後應用 L 麯線準則來尋找低維正則化問題的最優正則化參數。最後通過算例驗證瞭繫統建模方法的精度和載荷辨識算法的有效性與穩定性。
장재하변식기술응용우맥충연소풍동모형측력。용자결구종합법건립료측력시험계통적동역학모형,재시역내장동역학방정진행리산,건립기천평측량신호여모형기동재하역정지간적선성관계,작위재하변식적모형。채용Tikhonov 정칙화화자공간투영법상결합적혼합정칙화방법,장고유적、불괄정적재하변식문제전화위저유적괄정문제,이리우쾌속구해。제출료일충신방법래학정합괄적투영자공간유수,연후응용 L 곡선준칙래심조저유정칙화문제적최우정칙화삼수。최후통과산례험증료계통건모방법적정도화재하변식산법적유효성여은정성。
Load identification method was applied to force measurement in impulse combustion facilities.The dynamic model of the testing system was built using substructure synthesis method.Then,the differential equations were discretized to establish the linear relationship between the outputs of balance and the dynamic forces history acting on the aircraft model.A hybrid regularization method which combines the Tikhonov regularization and subspace projection method was proposed to solve the load identification problem.The hybrid method converts the ill-conditioned large scale problem into a well-posed small scale problem which can be solved easily.A new method was proposed to determine the size of the projection subspace.The L-curve criteria was employed to search the optimal regularization parameter of the dimension-reduced problem.The accuracy of the structural dynamic modeling method and the effective and stability of the load identification method were validated by a numerical example.