Citation: | WANG Hai-tao, ZHANG Xiao, SHI Li-chen, WANG Kun. Application of the Volterra Kernel Function Method in Feature Extraction of Bearing Ball Wear[J]. Applied Mathematics and Mechanics, 2017, 38(6): 633-642. doi: 10.21656/1000-0887.370243 |
[1] |
李雅梅, 陈明霞, 杜晶. 小波理论在滚动轴承故障诊断中的应用[J]. 计算机系统应用, 2012,21(7): 172-176.(LI Ya-mei, CHEN Ming-xia, DU Jing. Application of wavelet theory to fault diagnosis of rolling bearing[J]. Computer Systems & Applications,2012,21(7): 172-176.(in Chinese))
|
[2] |
崔宝珍, 潘宏侠. 小波分析在滚动轴承故障诊断中的应用[J]. 科技情报开发与经济, 2005,15(2): 176-178.(CUI Bao-zhen, PAN Hong-xia. The application of the wavelet analysis in the fault diagnosis of rolling bearings[J]. Sci-Tech Information Development & Economy,2005,15(2): 176-178.(in Chinese))
|
[3] |
赵勇, 宗智, 王天霖. 一种抑制激波计算中数值振荡现象的双重小波收缩方法[J]. 应用数学和力学, 2014,35(6): 620-629.(ZHAO Yong, ZONG Zhi, WANG Tian-lin. A dual wavelet shrinkage procedure for supprssing numerical oscillation in shock wave calculation[J]. Applied Mathematics and Mechanics,2014,35(6): 620-629.(in Chinese))
|
[4] |
林英祥, 孙清磊, 陈萍, 等. 冲击脉冲技术在滚动轴承故障诊断中的应用[J]. 海军工程大学学报, 2013,25(4): 85-90, 107.(LIN Ying-xiang, SUN Qing-lei, CHEN Ping, et al. Application of impact pulse technology to roller bearing failure detection[J]. Journal of Naval University of Engineering, 2013,25(4): 85-90, 107.(in Chinese))
|
[5] |
冷军发, 荆双喜, 华伟. EMD与同态滤波解调在滚动轴承故障诊断中的应用[J]. 河南理工大学学报(自然科学版), 2014,33(5): 611-615.(LENG Jun-fa, JIN Shuang-xi, HUA Wei. Application of EMD and homomorphic filtering demodulation to fault diagnosis of rolling element bearing[J]. Journal of Henan Polytechnic University(Natural Science),2014,33(5): 611-615.(in Chinese))
|
[6] |
Wazwaz A, Rach R. Two reliable methods for solving the Volterra integral equation with a weakly singular kernel[J]. Journal of Computational and Applied Mathematics,2016,302: 71-80.
|
[7] |
Shiki S B, Lopes V, Silva S D. Damage detection in nonlinear structures using discrete-time Volterra series[J]. Key Engineering Materials,2013,569/570: 876-883.
|
[8] |
魏瑞轩, 韩崇昭, 张优云, 等. 非线性系统故障诊断的Volterra模型方法[J]. 系统工程与电子技术, 2004,26(11): 1736-1738, 1752.(WEI Rui-xuan, HAN Chong-zhao, ZHANG You-yun, et al. Volterra model method for fault diagnosis of a nonlinear system[J]. Systems Engineering and Electronics,2004,26(11): 1736-1738, 1752.(in Chinese))
|
[9] |
Israelsen B W, Smith D A. Generalized Laguerre reduction of the Volterra kernel for practical identification of nonlinear dynamic systems[C]// AIChE Spring Metting 2014.arXiv: 1410. 0741.
|
[10] |
Mirzaee F, Hamzeh A. A computational method for solving nonlinear stochastic Volterra integral equations[J]. Journal of Computational and Applied Mathematics,2016,306: 166-178.
|
[11] |
Shiki S B, Jr V L, Silva S D. Identification of nonlinear structures using discrete-time Volterra series[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering,2013,36(3): 523-532.
|
[12] |
韩海涛, 马红光, 于宁宇, 等. 基于多音激励的Volterra频域核非参数辨识方法[J]. 西南交通大学学报, 2013,48(2): 250-256.(HAN Hai-tao, MA Hong-guang, YU Ning-yu, et al. Method of identifying Volterra frequency-domain kernels based on stimulus of multi-tone signal[J]. Journal of Southwest Jiaotong University,2013,48(2): 250-256.(in Chinese))
|
[13] |
WANG Qi-sheng, WANG Ke-yan, CHEN Shao-jun. Least squares approximation method for the solution of Volterra-Fredholm integral equations[J]. Journal of Computational and Applied Mathematics,2014,272: 141-147.
|
[14] |
Li S. Classical theory of Runge-Kutta methods for Volterra functional differential equations[J]. Applied Mathematics and Computation,2014,230: 78-95.
|
[15] |
朱大奇, 陈尔奎. 旋转机械故障诊断的量子神经网络算法[J]. 中国电机工程学报, 2006,20(5): 132-136.(ZHU Da-qi, CHEN Er-kui. A quantum neural networks fault diagnosis algorithm for rotating machinery[J]. Proceedings of the CSEE,2006,20(5): 132-136.(in Chinese))
|
[16] |
唐高松. 基于Volterra级数模型辨识的旋转机械故障诊断方法研究[D]. 硕士学位论文. 郑州: 郑州大学, 2010: 16-19.(TANG Gao-song. Rotating machine fault diagnosis method based on Volterra series identification[D]. Master Thesis. Zhengzhou: Zhengzhou University, 2010: 16-19.(in Chinese))
|