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结构区间参数反求的DIRECT算法

A Method for Inverse Solution of Structural Interval Parameters based on DIRECT Algorithm
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摘要 提出一种基于DIRECT算法的结构区间参数反求方法。对于结构不确定性参数反求问题,一般转化为不确定性传播和模型参数优化的双层求解问题。首先,区间模型用来描述响应和待识别结构参数的不确定性,并建立了相应区间参数反求模型。其次,在迭代反求过程中自适应更新径向基函数用来近似原系统模型,并利用DIRECT算法来求解内层不确定性传播问题。最后,通过遗传算法来求解外层的优化模型,从而识别结构不确定性参数的区间。数值算例用来验证了该方法的正确性和有效性,并将该方法应用来反求车辆乘员约束系统中的不确定性参数。 This paper presents a structural interval parameter inverse solution method based on DIRECT algorithm.The inverse solution of structural interval parameters is generally translated into a two-layer solution of uncertainty analysis and model parameter optimization.First,an interval model is applied to describing the uncertainties of measured responses and identified structural parameters,and the corresponding inverse model of structural interval parameters is established.Second,in the process of iterative inversion,the adaptive updating radial basis function is applied to approximating the original system model,and the DIRECT algorithm is used to analyze the uncertainty of the inner layer.Finally,the optimization model of the outer layer is solved with the genetic algorithm to identify the upper and lower bounds of structural interval parameters.Numerical examples are used to verify the correctness and effectiveness of the method presented in the paper,which is applied to identifying the uncertainty parameters in the vehicle occupant constraint system.
作者 蔡恒 刘杰 王青云 张连怡 Cai Heng;Liu Jie;Wang Qingyun;Zhang Lianyi(College of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China;Science and Technology on Special System Simulation Laboratory,Beijing Simulation Center,Beijing 100854,China)
出处 《机械科学与技术》 CSCD 北大核心 2019年第2期298-303,共6页 Mechanical Science and Technology for Aerospace Engineering
基金 国家重点研发计划项目(2017YFC0820100) 国家自然科学基金项目(11572115)资助
关键词 区间参数反求 反问题 DIRECT算法 不确定性传播 径向基函数 structural interval parameter inverse solution inverse problem DIRECT algorithm uncertainty analysis radial basis function optimization
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