结构频率误差修正参数的最优选取问题

OPTIMAL CORRECTION OF FREQUENCYERRORS ANDSELECTION METHOD OF PARAMETERS TO BE MODIFIED

摘要: 利用摄动理论和广义逆理论，研究了结构固有频率随机误差的修正及修改参数的选取问题，提出了理想修改参数、最优修改参数和最优修改参数组的概念，讨论了如何选取修改参数才能使结构修改后频率误差均方值的数学期望最小，并得到了该最小值的表达式，数值例子说明了方法的实用性和有效性。

Abstract: This paper deals with the correction of frequency errors of structure with randomdesign parameters and the selection problem for parameters to be modified.The conceptsof ideal parameter to be modified,optimal parameter to be modified and optimal parametergroup in which all parameters are optimal parameters to be modified are introduced. Theoptimal parameters to be modified,which make the expectation of the root-mean-square fre-quency errors taking the minimum value, and their quantities to be modified are o...