基于模态数据的不确定性结构参数识别  

Uncertain structural parameter identification based on modal data

作　　者：祁武超[1] 侯凌丰 田素梅[1] QI Wu-chao;HOU Ling-feng;TIAN Su-mei(Faculty of Aerospace Engineering,Shenyang Aerospace University,Shenyang 110136,China)

机构地区：[1]沈阳航空航天大学飞行器复合材料结构分析与仿真重点实验室,沈阳110136

出　　处：《沈阳航空航天大学学报》2018年第5期12-17,共6页Journal of Shenyang Aerospace University

基　　金：国家自然科学基金(项目编号:11502149;11372025)

摘　　要：提出一种在不确定性环境下识别结构物理参数的方法,这种方法以试验模态参数识别得到的模态数据为基础。结构的不确定性使用区间参数描述,反映所使用材料属性的分散性和既有结构材料的老化过程。将特征值函数在材料属性名义值点进行Taylor展开,得到结构模态参数与材料属性参数的区间代数方程组,基于线性规划理论可实现材料属性参数的反演,其中所使用到的特征值函数的导数使用差分方法获得。数值算例结果表明,在已知材料名义值的情况下,基于模态参数数据可以有效反演结构参数,且在一定材料分散性范围内具有足够的精度。In this paper,a method was presented to identify structural physical parameters under an uncertain environment,which was based on modal data from the identification of experimental modal parameters.Interval parameters were used to describe the uncertainties in the structure,which reflected the dispersion of material properties used and the aging process of existing structural materials.Interval algebraic equations for structural modal parameters and material attribute parameters were obtained by taking Taylor expansion of the eigenvalue function at the nominal point of the material property.Inversion of material properties parameters could be checked based on linear programming theory.The derivative of eigenvalue function was obtained using the difference method.Numerical examples showed the structural parameters could be effectively inverted based on the modal parameter data when the nominal value of the material was known.The parameters had sufficient accuracy within a certain material dispersion range.

关 键 词：模态参数识别 不确定性 区间参数 结构参数识别 

分 类 号：O327[理学—一般力学与力学基础]