CAJ | 학술논문

代数方法解析推导出无阻尼线性系统模态柔度一阶灵敏度的解析表达式,该表达式简洁紧凑,便于编程,而且在计算阶模态柔度的灵敏度时,只需一阶模态信息,具有显著的优点.通过数值模拟算例,并对模态柔度灵敏度进行了参数和模态截断误差分析,着重考查模态柔度对损伤参数的灵敏度.研究结果表明,通过损伤前后模态柔度矩阵的列最大变化值来判定损伤是合理的,而以对角元素变化值进行损伤识别可能出现误判.
대수방법해석추도출무조니선성계통모태유도일계령민도적해석표체식,해표체식간길긴주,편우편정,이차재계산계모태유도적령민도시,지수일계모태신식,구유현저적우점.통과수치모의산례,병대모태유도령민도진행료삼수화모태절단오차분석,착중고사모태유도대손상삼수적령민도.연구결과표명,통과손상전후모태유도구진적렬최대변화치래판정손상시합리적,이이대각원소변화치진행손상식별가능출현오판.
The first-order of the modal flexibility for a real symmetric undamped structure with distinct eigenvalues was derived based on an efficient algebraic method. The formulae are simple and compact,and it is easy to program. Moreover,it only requires one eigenvector to be known to calculate the sensitivity ofmodal flexibility. Through numerical model,the modal truncation error analysis as well as the parametric analysis of modal flexibility sensitivity is studied. Moreover,the behavior of modal flexibility sensitivity to parameters of damage was investigated. It is demonstrated that the maximum value of the elements in the corresponding column of the flexibility change matrix can be adopted to detect damage.