基于比例柔度矩阵的复合材料梁损伤检测  

DAMAGE DETECTION OF COMPOSITE BEAMS BASED ON PROPORTIONAL FLEXIBILITY MATRIX

作　　者：齐兴然 杨涛 杜宇[2] QI Xing-ran;YANG Tao;DU Yu(Advanced Mechatronics Equipment Technology Tianjin Area Major Laboratory,Tianjin 300387,China;School of Mechanical Engineering,Tianjin Polytechnic University,Tianjin 300387,China)

机构地区：[1]天津市现代机电装备技术重点实验室,天津300387 [2]天津工业大学机械工程学院,天津300387

出　　处：《复合材料科学与工程》2021年第3期33-37,共5页Composites Science and Engineering

摘　　要：利用比例柔度矩阵的LU分解构造新的损伤指标,并用于对复合材料固支梁进行分层损伤检测。首先使用有限元软件ANSYS Workbench构造出有损伤梁和无损伤梁的仿真模型,通过模态分析得到无损梁和损伤梁的固有频率和振型值,计算单位矩阵归一化后的振型,并以此构造比例柔度矩阵。通过对损伤前后比例柔度的差值矩阵进行LU分解,构造出新的损伤指标来检测复合材料梁的分层损伤。仿真算例表明在复合材料梁损伤的识别中,对于不同程度的单点、多点损伤,该损伤指标突变率都有较大的变化。对于不同位置的损伤,也有较好的识别效果,能准确描述脱层损伤发生的区域。该方法表明了比例柔度矩阵法能够应用于复合材料梁的分层损伤识别。The LU decomposition of the proportional flexibility matrix is used to construct a new damage index,which is used to detect the delamination damage of composite beams.Firstly,the finite element software ANSYS Workbench is used to construct the simulation models of damaged beam and undamaged beam.The natural frequency and mode shape of the undamaged beam and the damaged beam are obtained by modal analysis.The normalized vibration mode of the unit matrix is calculated,and then the proportional flexibility matrix is constructed.Through LU decomposition of the difference matrix of proportional flexibility before and after damage,a new damage index is constructed to detect the delamination damage of composite beams.The simulation results show that the mutation rate of the damage index has great changes for different degrees of single point and multi-point damage.For different locations of damage,it also has a good recognition effect,and can accurately describe the area of delamination damage.This method shows that the proportional flexibility matrix method can be used to identify the delamination damage of composite beams.

关 键 词：比例柔度矩阵 复合材料 脱层损伤 损伤检测 

分 类 号：TB332[一般工业技术—材料科学与工程]