基于模态应变能的损伤追踪及程度识别方法研究
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摘要
为降低损伤识别系统的成本,基于有限元建模及模态分析技术,提出了一种损伤追踪及其程度识别的方法。定义了一种基于模态应变能的损伤指标,追踪损伤的发生与扩展;提出了对损伤范围逐步定位的方法,通过改变传感器的数量、位置,逐步逼近损伤的扩展范围;采用基于灵敏度分析的修正方法,以试验测得低阶模态应变能为目标响应,以残余弹性模量表征各单元的局部损伤程度。使用一组带有不同裂纹的矩形板验证了该方法的有效性,试验结果表明:该方法能够有效追踪损伤的突变时间、扩展范围及局部损伤程度。
Based on the finite element modeling and modal analysis,this paper proposes a method which is used to track the damage and identify its degree,defines a damage index based on modal strain energy and traces its occurrence and expansion,then proposes the method to gradually locate the damaged position and range by changing the number and position of sensors,and then,takes the low order modal strain energy as the target response,and identifies the damaged degree of each element by the method of sensitivity-based updating. The effectiveness of this method is verified by using a set of rectangular plates with different crack sizes,and the experimental results show that this method can be used to effectively identify the occurrence,location and degree of local damages.
Based on the finite element modeling and modal analysis,this paper proposes a method which is used to track the damage and identify its degree,defines a damage index based on modal strain energy and traces its occurrence and expansion,then proposes the method to gradually locate the damaged position and range by changing the number and position of sensors,and then,takes the low order modal strain energy as the target response,and identifies the damaged degree of each element by the method of sensitivity-based updating. The effectiveness of this method is verified by using a set of rectangular plates with different crack sizes,and the experimental results show that this method can be used to effectively identify the occurrence,location and degree of local damages.
引文
[1]钟儒勉,宗周红,秦中远,等.基于多尺度模型修正的结合梁斜拉桥损伤识别方法[J].东南大学学报(自然科学版),2014,44(2):350-356.
[2]侯吉林,欧进萍,Lukasz Jankowski.约束子结构损伤识别的时序方法研究与试验[J].工程力学,2013,30(4):129-135.
[3] Fang S E,Perera R. Damage identification by response surface based model updating using D-optimal design[J]. Mechanical Systems and Signal Processing,2011,25(2):717-733.
[4]Doebling S W,Farrar C R,Prime M B,et al. Damage identification and health monitoring of structural and mechanical system from changes in their characteristics:a literature review[R].New Mexico:Los Alamos National Laboratory,1996.
[5]Ma S L,Jiang S F and Weng L Q. Two-stage damage identification based on modal strain energy and revised particle swarm optimization[J]. International Journal of Structural Stability and Dynamics,2014,14(5):5-25.
[6]Seyedpoor SM. A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization[J]. International Journal of Non-Linear Mechanics,2012,47(1):1-8.
[7]李效法.基于灵敏度分析的模型修正研究及其实现[D].南京:南京航空航天大学,2007.
[8]颜王吉,任伟新.基于代数算法的单元模态应变能灵敏度分析[J].振动与冲击,2010,29(4):34-39.
[9] J. C. Chen,J. A. Garba. Analytical model improvement using modal test results[J]. Journal of AIAA,1980,18(6):684-690.
[10]许微微,丁晓唐,肖烨.基于振型扩充的模态应变能法在结构损伤识别中的应用[J].四川建筑科学研究,2008,34(6):91-93.
[11]刘福顺,郭鹏,王超,等.一种模态振型的直接扩阶方法[J].工程力学,2012,29(8):28-32.
[12]史治宇,罗绍湘,张令弥.结构破损定位的单元模态应变能变化率法[J].振动工程学报,1998(3):356-360.
[13]朱宏平,余璟,张俊兵.结构损伤动力检测与健康监测研究现状与展望[J].机械工程,2010,28(2):1-11.
[2]侯吉林,欧进萍,Lukasz Jankowski.约束子结构损伤识别的时序方法研究与试验[J].工程力学,2013,30(4):129-135.
[3] Fang S E,Perera R. Damage identification by response surface based model updating using D-optimal design[J]. Mechanical Systems and Signal Processing,2011,25(2):717-733.
[4]Doebling S W,Farrar C R,Prime M B,et al. Damage identification and health monitoring of structural and mechanical system from changes in their characteristics:a literature review[R].New Mexico:Los Alamos National Laboratory,1996.
[5]Ma S L,Jiang S F and Weng L Q. Two-stage damage identification based on modal strain energy and revised particle swarm optimization[J]. International Journal of Structural Stability and Dynamics,2014,14(5):5-25.
[6]Seyedpoor SM. A two stage method for structural damage detection using a modal strain energy based index and particle swarm optimization[J]. International Journal of Non-Linear Mechanics,2012,47(1):1-8.
[7]李效法.基于灵敏度分析的模型修正研究及其实现[D].南京:南京航空航天大学,2007.
[8]颜王吉,任伟新.基于代数算法的单元模态应变能灵敏度分析[J].振动与冲击,2010,29(4):34-39.
[9] J. C. Chen,J. A. Garba. Analytical model improvement using modal test results[J]. Journal of AIAA,1980,18(6):684-690.
[10]许微微,丁晓唐,肖烨.基于振型扩充的模态应变能法在结构损伤识别中的应用[J].四川建筑科学研究,2008,34(6):91-93.
[11]刘福顺,郭鹏,王超,等.一种模态振型的直接扩阶方法[J].工程力学,2012,29(8):28-32.
[12]史治宇,罗绍湘,张令弥.结构破损定位的单元模态应变能变化率法[J].振动工程学报,1998(3):356-360.
[13]朱宏平,余璟,张俊兵.结构损伤动力检测与健康监测研究现状与展望[J].机械工程,2010,28(2):1-11.