结合模态曲率与小波变换的方法对网壳结构的损伤识别进行研究。以一网壳结构的缩尺模型为例进行数值分析,假设结构35号杆件的截面出现刚度折减的轻微损伤,以模型损伤前后的模态曲率作为损伤指标进行连续小波变换,从而判断结构的损伤位置。数值分析的结果表明,利用模态曲率的小波变换系数差可以粗略定位损伤,而利用曲率模态差值的小波变换系数可以较为准确地定位损伤,且分析及数据处理过程更为简便可靠,可见基于模态曲率与小波变换的损伤识别方法对于网壳结构的损伤定位是非常有效的。
In this paper, a research is carried on to identify damage of reticulated shell structures based on the combination of modal curvature method and wavelet transform method. Take a scaled model of the reticulated shell structure as an example to analyze, the cross section of member 35 supposed to have a slight damage of stiffness reduction. In order to locate the damage, modal curvatures of the structure are taken as damage indexes to perform continuous wavelet transform. Results of the numerical analysis indicate that the wavelet transform coefficients difference of modal cur- vature can be used to locate damage roughly, while the wavelet transform coefficients of modal curvature difference can be used to locate damage more precisely with easier and more reliable data processing. So it is clear that the damage identification based on modal curvature and wavelet transform is quite effective.