【摘要】 结构动力参数的灵敏度分析是结构优化设计和损伤检测中的关键,它直接影响分析结果的准确性和可靠性。本文结合矩阵摄动理论,阐明了结构固有频率和振型偏微分的具体存在条件。充分考虑该条件可有效保证分析过程的稳定性和结果的准确性。在此基础上,作者提出了结构多损伤检测分析的分段线性迭代方法。数值算例表明:本文方法在定位和评估结构中多损伤情况时具有较高的稳定性和精确度,对于测量误差的影响具有较强的鲁棒性。更多还原

【Abstract】 An attempt is made to find the sensitivity of the structural dynamic parameters in the paper. It is an essential problem in the optimization design and the damage detection for a structure. It is found that the existence conditions of partial derivatives for the natural frequencies and the vibration modes are pointed out. It is based on the matrix perturbation theory. It is found that the piecewise-linear iteration can be used to detect the possible multi-damages. The proposed method is good enough to locate the multi-damages in a structure. It is also robust to measured errors.更多还原