基于代数算法的模态柔度灵敏度分析

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.

Modal flexibility sensitivity analysis based on an efficient algebraic method

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 sensiti...