移动质量法结合分形维数的旋转梁损伤检测
|
摘要
旋转梁结构广泛应用于航空工程领域,其健康状况直接关系着航空器的飞行安全,对旋转梁结构进行损伤检测能够及时发现损伤,从而避免因结构损伤而造成的重大损失。以变截面旋转裂纹梁为研究对象,通过移动质量法结合分形维数理论进行损伤检测。首先建立质量块-裂纹梁模型,计算得到固有频率随质量块位置变动曲线;然后运用分形维数理论得到固有频率曲线的分形维数曲线,进而识别出梁的损伤位置及其损伤程度;最后讨论裂纹位置、损伤程度、附加质量块大小以及转速对损伤检测的影响。结果表明:所提出的将移动质量法与分形维数理论相结合来进行损伤检测的方法,能够准确地识别损伤位置,还能够定性地反映出损伤程度。
Rotating beam structure is widely used in the aerospace engineering field.Its health status is directly related to the flight safety of the aircraft.Damage detection of the rotating beam structure can detect the damage in time so as to avoid heavy losses due to structural damage.Taking variable-section rotating cracked beam as an example,the damage identification is based on auxiliary mass method combined with fractal dimension theory.Firstly,the mass-crack beam model is established,and the natural frequency curve is calculated with the mass position changing.Then the fractal dimension curve of natural frequency curve is obtained by using fractal dimension method,and the location and depth of the crack can be detected.Finally,the effects of crack position,crack depth,auxiliary mass and rotating speed are investigated in detail.The simulation results demonstrate the efficiency and accuracy of the proposed method.
Rotating beam structure is widely used in the aerospace engineering field.Its health status is directly related to the flight safety of the aircraft.Damage detection of the rotating beam structure can detect the damage in time so as to avoid heavy losses due to structural damage.Taking variable-section rotating cracked beam as an example,the damage identification is based on auxiliary mass method combined with fractal dimension theory.Firstly,the mass-crack beam model is established,and the natural frequency curve is calculated with the mass position changing.Then the fractal dimension curve of natural frequency curve is obtained by using fractal dimension method,and the location and depth of the crack can be detected.Finally,the effects of crack position,crack depth,auxiliary mass and rotating speed are investigated in detail.The simulation results demonstrate the efficiency and accuracy of the proposed method.
引文
[1]Carden E P.Vibration based condition monitoring:a review[J].Structural Health Monitoring,2004,3(4):355-377.
[2]Pandey A K,Biswas M.Damage detection in structures using changes in flexibility[J].Journal of Sound and Vibration,1994,169(1):3-17.
[3]董五安,杨世浩.频率变化平方比向量确定结构损伤位置[J].噪声与振动控制,2013(3):226-230.Dong Wuan,Yang Shihao.Identification of structure damage positioning using frequency-change square ratio vector[J].Noise and Vibration Control,2013(3):226-230.(in Chinese)
[4]Zhang Y,Seng T L,Xiang Z,et al.A frequency shift curve based damage detection method for cylindrical shell structures[J].Journal of Sound and Vibration,2014,333(6):1671-1683.
[5]Lie S T,Zhang Y,Wang L Q.Damage detection in compressed natural gas(cng)cylinders based on auxiliary mass induced frequency shift[J].Experimental Mechanics,2015,55(3):487-498.
[6]Zhong Shuncong,Zhong Jianfeng,Zhang Qiukun,et al.Quasi-optical coherence vibration tomography technique for damage detection in beam-like structures based on auxiliary mass induced frequency shift[J].Mechanical Systems and Signal Processing,2017(9):241-254.
[7]Wang L,Seng T L,Zhang Y.Damage detection using frequency shift path[J].Mechanical Systems and Signal Processing,2016(66/67):298-313.
[8]Chen Y,Oyadiji S O.Damage detection using modal frequency curve and squared residual wavelet coefficients-based damage indicator[J].Mechanical Systems and Signal Processing,2017,83:385-405.
[9]李录平,李芒芒,晋风华,等.振动检测技术在风力机叶片裂纹故障监测中的应用[J].热能动力工程,2013,28(2):207-212.Li Luping,Li Mangmang,Jin Fenghua,et al.Applications of the vibration detection technologies in monitoring the blade crack fault of wind turbines[J].Journal of Engineering for Thermal Energy and Power,2013,28(2):207-212.(in Chinese)
[10]Ostachowicz W M,Krawczuk M.Analysis of the effect of cracks on the natural frequencies of a cantilever beam[J].Journal of Sound and Vibration,1991,150(2):191-201.
[11]韩伟,毛崎波.用动态刚度法分析旋转变截面梁横向振动特性[J].噪声与振动控制,2018,38(2):18-21.Han Wei,Mao Qibo.Analysis of free vibration of rotating tapered beams using dynamic stiffness method[J].Noise and Vibration Control,2018,38(2):18-21.(in Chinese)
[12]Naguleswaran S.Transverse vibration of an uniform eulerbernoulli beam under linearly varying axial force[J].Journal of Sound and Vibration,2004,275(1/2):47-57.
[13]Pandey A K,Biswas M,Samman M M.Damage detection from changes in curvature mode shapes[J].Journal of Sound and Vibration,1991,145(2):321-332.
[14]Qiao P,Cao M.Waveform fractal dimension for mode shape-based damage identification of beam-type structures[J].International Journal of Solids and Structures,2008,45(22):5946-5961.
[15]戴维·哈特.重分形:理论及应用[M].北京:科学出版社,2012:3-5.David Hart.Heavy fractals:theory and application[M].Beijing:Science Press,2012:3-5.(in Chinese)
[16]Li H,Huang Y,Bao Y.Output only earthquake damage detection of moment resist frame using wavelet analysis and fractal dimension[J].Proceedings of SPIE-the International Society for Optical Engineering,2012,8348:60.
[17]Lee E T,Eun H C.Damage detection of steel beam using frequency response function measurement data and fractal dimension[J].Journal of Vibration and Acoustics,2015,137(3):034503.
[18]秦建强,孔祥玉,胡绍林,等.一维时间序列分形维数算法对比分析[J].计算机工程与应用,2016,52(22):33-38.Qin Jianqiang,Kong Xiangyu,Hu Shaolin,et al.Performance comparison of methods for estimating fractal dimension of time series[J].Computer Engineering and Applications,2016,52(22):33-38.(in Chinese)
[2]Pandey A K,Biswas M.Damage detection in structures using changes in flexibility[J].Journal of Sound and Vibration,1994,169(1):3-17.
[3]董五安,杨世浩.频率变化平方比向量确定结构损伤位置[J].噪声与振动控制,2013(3):226-230.Dong Wuan,Yang Shihao.Identification of structure damage positioning using frequency-change square ratio vector[J].Noise and Vibration Control,2013(3):226-230.(in Chinese)
[4]Zhang Y,Seng T L,Xiang Z,et al.A frequency shift curve based damage detection method for cylindrical shell structures[J].Journal of Sound and Vibration,2014,333(6):1671-1683.
[5]Lie S T,Zhang Y,Wang L Q.Damage detection in compressed natural gas(cng)cylinders based on auxiliary mass induced frequency shift[J].Experimental Mechanics,2015,55(3):487-498.
[6]Zhong Shuncong,Zhong Jianfeng,Zhang Qiukun,et al.Quasi-optical coherence vibration tomography technique for damage detection in beam-like structures based on auxiliary mass induced frequency shift[J].Mechanical Systems and Signal Processing,2017(9):241-254.
[7]Wang L,Seng T L,Zhang Y.Damage detection using frequency shift path[J].Mechanical Systems and Signal Processing,2016(66/67):298-313.
[8]Chen Y,Oyadiji S O.Damage detection using modal frequency curve and squared residual wavelet coefficients-based damage indicator[J].Mechanical Systems and Signal Processing,2017,83:385-405.
[9]李录平,李芒芒,晋风华,等.振动检测技术在风力机叶片裂纹故障监测中的应用[J].热能动力工程,2013,28(2):207-212.Li Luping,Li Mangmang,Jin Fenghua,et al.Applications of the vibration detection technologies in monitoring the blade crack fault of wind turbines[J].Journal of Engineering for Thermal Energy and Power,2013,28(2):207-212.(in Chinese)
[10]Ostachowicz W M,Krawczuk M.Analysis of the effect of cracks on the natural frequencies of a cantilever beam[J].Journal of Sound and Vibration,1991,150(2):191-201.
[11]韩伟,毛崎波.用动态刚度法分析旋转变截面梁横向振动特性[J].噪声与振动控制,2018,38(2):18-21.Han Wei,Mao Qibo.Analysis of free vibration of rotating tapered beams using dynamic stiffness method[J].Noise and Vibration Control,2018,38(2):18-21.(in Chinese)
[12]Naguleswaran S.Transverse vibration of an uniform eulerbernoulli beam under linearly varying axial force[J].Journal of Sound and Vibration,2004,275(1/2):47-57.
[13]Pandey A K,Biswas M,Samman M M.Damage detection from changes in curvature mode shapes[J].Journal of Sound and Vibration,1991,145(2):321-332.
[14]Qiao P,Cao M.Waveform fractal dimension for mode shape-based damage identification of beam-type structures[J].International Journal of Solids and Structures,2008,45(22):5946-5961.
[15]戴维·哈特.重分形:理论及应用[M].北京:科学出版社,2012:3-5.David Hart.Heavy fractals:theory and application[M].Beijing:Science Press,2012:3-5.(in Chinese)
[16]Li H,Huang Y,Bao Y.Output only earthquake damage detection of moment resist frame using wavelet analysis and fractal dimension[J].Proceedings of SPIE-the International Society for Optical Engineering,2012,8348:60.
[17]Lee E T,Eun H C.Damage detection of steel beam using frequency response function measurement data and fractal dimension[J].Journal of Vibration and Acoustics,2015,137(3):034503.
[18]秦建强,孔祥玉,胡绍林,等.一维时间序列分形维数算法对比分析[J].计算机工程与应用,2016,52(22):33-38.Qin Jianqiang,Kong Xiangyu,Hu Shaolin,et al.Performance comparison of methods for estimating fractal dimension of time series[J].Computer Engineering and Applications,2016,52(22):33-38.(in Chinese)