Page 36 - 《振动工程学报》2025年第9期
P. 36
1966 振 动 工 程 学 报 第 38 卷
聚。一方面,该方法采用分级的损伤定位和识别减 损伤识别方法 [J]. 工程力学,2022,39(9):225-233.
少了每一次迭代搜索的单元数,同时提高了识别精 ZOU Yunfeng, LU Xuandong, YANG Jinsong, et al. A
度和效率;另一方面,通过模型缩聚减少了每次迭代 damage identification method based on strain modal response
reconstruction[J]. Engineering Mechanics, 2022, 39( 9) :
中的结构矩阵维数,降低矩阵数据的冗余,从而提高
225-233.
了效率并节省了计算资源。
[11] WANG X Y,HOU R R,XIA Y,et al. Laplace approxima-
(3)大型结构的损伤识别难以全局开展,而通常 tion in sparse Bayesian learning for structural damage detec-
仅在关键位置布置较密集的传感器列阵。在这种情 tion[J]. Mechanical Systems and Signal Processing, 2020,
况下,该方法应将未监测部分考虑为冗余自由度并 140:106701.
划分为维度更大的冗余超单元,在监测部分则划分 [12] 缪炳荣,张盈,黄仲,等. 利用模态应变能变化率的结构损
为维度更小的参与模型更新的超单元。对比数值案 伤识别优化方法 [J]. 振动工程学报,2023,36(2):477-486.
MIAO Bingrong, ZHANG Ying, HUANG Zhong, et al.
例和试验案例的有无模型缩聚耗时,可以看出,随着
Structural damage identification optimization method using
自由度数目的增加,模型缩聚的作用会愈发明显,而
change rate of modal strain energy[J]. Journal of Vibration
多级识别策略的精度和效率提升仅仅与识别的维度 Engineering,2023,36(2):477-486.
相关(传感器的数量和布置范围)。 [13] GUO J, WANG L, TAKEWAKI I. Frequency response-
based damage identification in frames by minimum constitu-
参考文献: tive relation error and sparse regularization[J]. Journal of
Sound and Vibration,2019,443:270-292.
[14] LEE E T, EUN H C. An optimal sensor layout using the
[1] NORDEN E HUANG Z S. The empirical mode decomposi-
frequency response function data within a wide range of
tion and the Hilbert spectrum for nonlinear and non-stationary
frequencies[J]. Sensors,2022,22(10):3778.
time series analysis[J]. Proceedings:Mathematical,Physical
[15] 张永宏,邵凡,赵晓平,等. 基于多标签零样本学习的滚
and Engineering Sciences,1998,454(1971):903-995.
动轴承故障诊断 [J]. 振动与冲击,2022,41(11):55-64.
[2] HE J J, ZHOU Y B. A novel mode shape reconstruction
ZHANG Yonghong,SHAO Fan,ZHAO Xiaoping,et al. Rolling
method for damage diagnosis of cracked beam[J]. Mechanical
bearing fault diagnosis based on multi-label zero-shot learning
Systems and Signal Processing,2019,122:433-447.
[J]. Journal of Vibration and Shock,2022,41(11):55-64.
[3] 吴宗臻,刘维宁,马龙祥,等. 基于实测频响函数列的地
[16] 邹云峰,卢玄东,阳劲松,等. 基于模态综合法和模态叠
铁环境振动响应预测方法 [J]. 工程力学,2015,32(6):
加 法 的 密 集 模 态 结 构 响 应 重构 [J]. 工 程 力 学 , 2023,
155-161.
40(3):54-64.
WU Zongzhen, LIU Weining, MA Longxiang, et al.
ZOU Yunfeng,LU Xuandong,YANG Jinsong,et al. Struc-
Prediction method for metro environmental vibrations based
tural response reconstruction based on mode synthesis method
on measured frequency response functions[J]. Engineering
and modal superposition method in the presence of closely spaced
Mechanics,2015,32(6):155-161.
modes[J]. Engineering Mechanics,2023,40(3):54-64.
[4] LI J, LAW S S. Substructural response reconstruction in
[17] 邹云峰,付正亿,何旭辉,等. 基于经验模态分解和模型
wavelet domain[J]. Journal of Applied Mechanics, 2011,
缩 聚 的 动 力 响 应 重 构 方 法 研究 [J]. 工 程 力 学 , 2022,
78(4):041010.
39(2):67-75.
[5] LAW S S, LI X Y, ZHU X Q, et al. Structural damage
ZOU Yunfeng, FU Zhengyi, HE Xuhui, et al. Dynamic
detection from wavelet packet sensitivity[J]. Engineering
response reconstruction method based on empirical mode
Structures,2005,27(9):1339-1348.
decomposition and model condensation[J]. Engineering
[6] WANG L,CHEN R,DAI L Z,et al. A detection method
Mechanics,2022,39(2):67-75.
integrating modal deflection curvature difference and natural
[18] BRANDON J A. Derivation and significance of second-order
frequency for structural stiffness degradation[J]. Engineering
modal design sensitivities[J]. AIAA Journal,1984,22(5):
Failure Analysis,2022,141:106637.
723-724.
[7] HOU R R,XIA Y,ZHOU X Q. Structural damage detec-
[19] CHOI K M, CHO S W, KO M G, et al. Higher order
tion based on L1 regularization using natural frequencies and
eigensensitivity analysis of damped systems with repeated
mode shapes[J]. Structural Control and Health Monitoring,
eigenvalues[J]. Computers & Structures,2004,82(1):63-69.
2018,25(3):e2107.
[20] ZHANG C D, XU Y L. Multi-level damage identification
[8] LIU G J,ZHAI Y Z,LENG D X,et al. Research on struc-
with response reconstruction[J]. Mechanical Systems and
tural damage detection of offshore platforms based on grouping
Signal Processing,2017,95:42-57.
modal strain energy[J]. Ocean Engineering,2017,140:43-49.
[9] ZHANG Y J,LUO Y F,GUO X N,et al. A new damage
第一作者:邹云峰(1984—),男,博士,教授。
detection method of single-layer latticed shells based on
combined modal strain energy index[J]. Mechanical Systems E-mail:yunfengzou@csu.edu.cn
and Signal Processing,2022,172:109011. 通信作者:卢玄东(1997—),男,硕士。
[10] 邹云峰,卢玄东,阳劲松,等. 基于应变模态响应重构的 E-mail:xuandonglu@csu.edu.cn