曲率模态法用于网壳结构损伤定位的有效性分析
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摘要
曲率模态法是针对梁式结构提出的一种损伤识别方法,其用于网壳结构损伤定位的有效性需要进行研究和证实。以一个单层球面网壳为例,对曲率模态法用于该结构的损伤定位进行数值模拟,分析网壳结构模态局部化对损伤定位效果的影响。损伤定位的判断标准为绝对曲率差最大值所对应的节点为损伤位置,指示该节点上的杆件发生了损伤。数值分析的结果表明,对于单杆件损伤,使用损伤前后密集模态的绝对曲率差进行损伤定位,效果很差,而使用损伤前后稀疏模态的绝对曲率差进行损伤定位,效果很好。可见,模态局部化对曲率模态法应用于网壳结构损伤定位的影响很大,因此,只有选择稀疏模态才能较好地避开模态局部化现象,在一定程度上保证曲率模态法用于网壳结构损伤定位的有效性。
The curvature modal method is one of damage identification methods for beam structures.If it is used for damage localization to reticulated shell structures,how about the validity is needed to study and verify.Using a single spherical reticulated shell as an example,the numerical simulation on curvature modal method for damage localization to the shell is carried out,and the influence of mode localization on damage localization is analyzed.The judgment standard of damage localization is that the node corresponding to the maximum of absolute curvature difference is the location of damage,and it shows that the member on the node is damaged.The results of numerical analysis show that: for the damage of single member,the validity is very bad when using absolute curvature difference of closely spaced modes before and after damage,but the validity is very good when using absolute curvature difference of sparse mode before and after damage.So the influence of mode localization on damage localization is remarkable for reticulated shell structures.Thus,to ensure the validity of damage localization to reticulated shell structures and avoid the phenomenon of mode localization,sparse mode should be used for curvature modal method.
The curvature modal method is one of damage identification methods for beam structures.If it is used for damage localization to reticulated shell structures,how about the validity is needed to study and verify.Using a single spherical reticulated shell as an example,the numerical simulation on curvature modal method for damage localization to the shell is carried out,and the influence of mode localization on damage localization is analyzed.The judgment standard of damage localization is that the node corresponding to the maximum of absolute curvature difference is the location of damage,and it shows that the member on the node is damaged.The results of numerical analysis show that: for the damage of single member,the validity is very bad when using absolute curvature difference of closely spaced modes before and after damage,but the validity is very good when using absolute curvature difference of sparse mode before and after damage.So the influence of mode localization on damage localization is remarkable for reticulated shell structures.Thus,to ensure the validity of damage localization to reticulated shell structures and avoid the phenomenon of mode localization,sparse mode should be used for curvature modal method.
引文
[1]Pandey A K,Biswas M,Samman M M.Damage detection fromchanges in curvature mode shapes[J].Journal of Sound and Vi-bration,1991,145(2):321-332.
[2]叶黔元,翟立祥,陈锦辉.曲率模态及其在桁架桥梁损伤识别中应用[J].力学季刊,2005,26(2):286-292.
[3]刘龙,孟光.基于曲率模态和支持向量机的结构损伤位置两步识别方法[J].工程力学,2006,23(Sup.Ⅰ):35-39.
[4]胡亚平,张成海,屠义强.基于曲率模态的结构损伤定位[J].解放军理工大学学报:自然科学版,2009,10(S):57-63.
[5]丁阳,张玉峰,李忠献.大跨度空间网格结构的损伤定位[J].建筑结构学报,2006,27(1):16-23.
[6]丁阳,宋扬,李忠献.大跨度空间网格结构节点损伤识别定位[J].天津大学学报,2007,40(6):726-730.
[7]殷志祥,徐文杰,毛丽强.曲率模态小波法用于网壳结构损伤的识别和定位[J].地震工程与工程振动,2009,29(4):164-169.
[8]Yan W M,Wang Z,He H X.Research on mode localization of re-ticulated shell structures[J].Earthquake Engineering and Engi-neering Vibration,2011,10(1):75-84.
[9]JGJ7—2010空间网格结构技术规程[S].
[10]沈士钊,陈昕.网壳结构稳定性[M].北京:科学出版社,1999.
[2]叶黔元,翟立祥,陈锦辉.曲率模态及其在桁架桥梁损伤识别中应用[J].力学季刊,2005,26(2):286-292.
[3]刘龙,孟光.基于曲率模态和支持向量机的结构损伤位置两步识别方法[J].工程力学,2006,23(Sup.Ⅰ):35-39.
[4]胡亚平,张成海,屠义强.基于曲率模态的结构损伤定位[J].解放军理工大学学报:自然科学版,2009,10(S):57-63.
[5]丁阳,张玉峰,李忠献.大跨度空间网格结构的损伤定位[J].建筑结构学报,2006,27(1):16-23.
[6]丁阳,宋扬,李忠献.大跨度空间网格结构节点损伤识别定位[J].天津大学学报,2007,40(6):726-730.
[7]殷志祥,徐文杰,毛丽强.曲率模态小波法用于网壳结构损伤的识别和定位[J].地震工程与工程振动,2009,29(4):164-169.
[8]Yan W M,Wang Z,He H X.Research on mode localization of re-ticulated shell structures[J].Earthquake Engineering and Engi-neering Vibration,2011,10(1):75-84.
[9]JGJ7—2010空间网格结构技术规程[S].
[10]沈士钊,陈昕.网壳结构稳定性[M].北京:科学出版社,1999.
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