Abstract
Excitation force of under-chassis active equipment of railway vehicles has a significant impact on the floor vibration of the car body. In order to improve the accuracy of the excitation force identification of active equipment in engineering practice, a new excitation force identification method was proposed by applying modified Sage-Husa adaptive Kalman filter (MSHAKF). First, the advantages of the MSHAKF over conventional Kalman filter (CKF) are introduced. Simulation shows that the MSHAKF has excellent exactness and robustness for active equipment excitation force identification. Finally, a test device for identifying excitation force was established. The infinite impulse response (IIR) low-pass filter is designed by using the bilinear transformation method to eliminate the identification error caused by the frequency multiplication components in the response signal. The experimental result shows that the proposed method is very effective in engineering practice without mastering the noise characteristics of the system.
Issue Section:
Research Papers
References
1.
Foo
, E.
, and Goodall
, R. M.
, 2000
, “Active Suspension Control of Flexible-Bodied Railway Vehicles Using Electro-Hydraulic and Electro-Magnetic Actuators
,” Control Eng. Pract.
, 8
(5
), pp. 507
–518
. 10.1016/S0967-0661(99)00188-42.
Gong
, D.
, Zhou
, J.
, and Sun
, W.
, 2013
, “On the Resonant Vibration of a Flexible Railway Car Body and Its Suppression With a Dynamic Vibration Absorber
,” J. Vib. Control
, 19
(5
), pp. 649
–657
. 10.1177/10775463124374353.
Gong
, D.
, Zhou
, J.
, and Sun
, W.
, 2016
, “Influence of Under Chassis Suspended Equipment on High-Speed EMU Trains and the Design of Suspension Parameters
,” Proc. Inst. Mech. Eng. Part F: J. Rail Rapid Transit
, 230
(8
), pp. 1790
–1802
. 10.1177/09544097156146014.
Xue
, X.
, Chen
, X.
, Zhang
, X.
, and Qiao
, B.
, 2016
, “Hermitian Plane Wavelet Finite Element Method: Wave Propagation and Load Identification
,” Comput. Math. Appl.
, 72
(12
), pp. 2920
–2942
. 10.1016/j.camwa.2016.10.0195.
Turco
, E.
, 2005
, “A Strategy to Identify Exciting Forces Acting on Structures
,” Int. J. Numer. Methods Eng.
, 64
(11
), pp. 1483
–1508
. 10.1002/nme.14186.
Yu
, L.
, and Chan
, T. H. T.
, 2003
, “Moving Force Identification Based on the Frequency–Time Domain Method
,” J. Sound Vib.
, 261
(2
), pp. 329
–349
. 10.1016/S0022-460X(02)00991-47.
Liu
, Y.
, and Shepard Jr
, W. S.
, 2005
, “Dynamic Force Identification Based on Enhanced Least Squares and Total Least-Squares Schemes in the Frequency Domain
,” J. Sound Vib.
, 282
(1
), pp. 37
–60
. 10.1016/j.jsv.2004.02.0418.
Uhl
, T.
, 2007
, “The Inverse Identification Problem and its Technical Application
,” Arch. Appl. Mech.
, 77
(5
), pp. 325
–337
. 10.1007/s00419-006-0086-99.
Li
, K.
, Liu
, J.
, Han
, X.
, Jiang
, C.
, and Zhang
, D.
, 2016
, “Distributed Dynamic Load Identification Based on Shape Function Method and Polynomial Selection Technique
,” Inverse Probl. Sci. Eng.
, 25
(9
), pp. 1
–20
.10.
Inoue
, H.
, Harrigan
, J. J.
, and Reid
, S. R.
, 2001
, “Review of Inverse Analysis for Indirect Measurement of Impact Force
,” ASME Appl. Mech. Rev.
, 54
(6
), pp. 503
–524
. 10.1115/1.142019411.
Lin
, D. C.
, 2010
, “Input Estimation for Nonlinear Systems
,” Inverse Probl. Sci. Eng.
, 18
(5
), pp. 673
–689
. 10.1080/1741597100369862312.
Gunawan
, F. E.
, Homma
, H.
, and Morisawa
, Y.
, 2008
, “Impact Force Estimation by Quadratic Spline Approximation
,” J. Solid Mech. Mater. Eng.
, 2
(8
), pp. 1092
–1103
. 10.1299/jmmp.2.109213.
Vogel
, C. R.
, 2002
, Computational Methods for Inverse Problems
, SIAM
, Philadelphia, PA
.14.
Turco
, E.
, 2017
, “Tools for the Numerical Solution of Inverse Problems in Structural Mechanics: Review and Research Perspectives
,” Eur. J. Environ. Civil Eng.
, 21
(5
), pp. 509
–554
. 10.1080/19648189.2015.113467315.
Hansen
, P. C.
, 1992
, “Numerical Tools for Analysis and Solution of Fredholm Integral Equations of the First Kind
,” Inverse Probl.
, 8
(6
), pp. 849
–872
. 10.1088/0266-5611/8/6/00516.
Choi
, H. G.
, Thite
, A. N.
, and Thompson
, D. J.
, 2007
, “Comparison of Methods for Parameter Selection in Tikhonov Regularization with Application to Inverse Force Determination
,” J. Sound Vib.
, 304
(3–5
), pp. 894
–917
. 10.1016/j.jsv.2007.03.04017.
Hu
, N.
, Fukunaga
, H.
, Matsumoto
, S.
, Yan
, B.
, and Peng
, X. H.
, 2007
, “An Efficient Approach for Identifying Impact Force Using Embedded Piezoelectric Sensors
,” Int. J. Impact Eng.
, 34
(7
), pp. 1258
–1271
. 10.1016/j.ijimpeng.2006.05.00418.
Pezerat
, C.
, and Guyader
, J. L.
, 1995
, “Two Inverse Methods for Localization of External Sources Exciting a Beam
,” Acta Acustica
, 3
(1
), pp. 1
–10
.19.
Pezerat
, C.
, and Guyader
, J. L.
, 2000
, “Identification of Vibration Sources
,” Appl. Acoust.
, 61
(3
), pp. 309
–324
. 10.1016/S0003-682X(00)00036-020.
Gunawan
, F. E.
, Homma
, H.
, and Kanto
, Y.
, 2006
, “Two-step B-Splines Regularization Method for Solving an Ill-Posed Problem of Impact Force Reconstruction
,” J. Sound Vib.
, 297
(1–2
), pp. 200
–214
. 10.1016/j.jsv.2006.03.03621.
Liu
, J.
, Meng
, X.
, Zhang
, D.
, Jiang
, C.
, and Han
, X.
, 2017
, “An Efficient Method to Reduce Ill-Posedness for Structural Dynamic Load Identification
,” Mech. Syst. Signal Process.
, 95
(1
), pp. 273
–285
. 10.1016/j.ymssp.2017.03.03922.
Kazemi
, M.
, Hematiyan
, M. R.
, and Ghavami
, K.
, 2008
, “An Efficient Method for Dynamic Load Identification Based on Structural Response
,” International Conference on Engineering Optimization
, Rio de Janeiro, Brazil
, pp. l
–5
.23.
Ma
, C. K.
, Tuan
, P.
, Lin
, D. C.
, and Liu
, C.
, 1998
, “A Study of an Inverse Method for the Estimation of Impulsive Loads
,” Int. J. Syst. Sci.
, 29
(6
), pp. 663
–672
. 10.1080/0020772980892955924.
Ma
, C. K.
, and Lin
, D. C.
, 2000
, “Input Forces Estimation of a Cantilever Beam
,” Inverse Probl. Eng.
, 8
(6
), pp. 511
–528
. 10.1080/17415970008802774525.
Ma
, C. K.
, Chang
, J.
, and Lin
, D. C.
, 2003
, “Input Force Estimation of Beam Structure by an Inverse Method
,” J. Sound Vib.
, 259
(2
), pp. 387
–407
. 10.1006/jsvi.2002.533426.
Kalman
, R. E.
, 1960
, “A New Approach to Linear Filtering and Prediction Problems
,” ASME J. Basic Eng.
, 82
(1
), pp. 35
–45
. 10.1115/1.366255227.
Ma
, C. K.
, and Ho
, C. C.
, 2004
, “An Inverse Method for the Estimation of Input Forces Acting on non-Linear Structural Systems
,” J. Sound Vib.
, 275
(3–5
), pp. 953
–971
. 10.1016/S0022-460X(03)00797-128.
Lin
, D. C.
, 2012
, “Adaptive Weighting Input Estimation for Nonlinear Systems
,” Int. J. Syst. Sci.
, 43
(1
), pp. 31
–40
. 10.1080/0020772100376414129.
Song
, X.
, Zhang
, Y.
, and Liang
, D.
, 2017
, “Input Forces Estimation for Nonlinear Systems by Applying a Square-Root Cubature Kalman Filter
,” Materials
, 10
(10
), pp. 1162
–1180
. 10.3390/ma1010116230.
Narasimhappa
, M.
, Rangababu
, P.
, Sabat
, S. L.
, and Nayak
, J.
, 2012
, “A Modified Sage-Husa Adaptive Kalman Filter for Denoising Fiber Optic Gyroscope Signal
,” 2012 Annual IEEE India Conference
, IEEE
.31.
Sun
, J.
, Xu
, X.
, Liu
, Y.
, Zhang
, T.
, and Li
, Y.
, 2016
, “FOG Random Drift Signal Denoising Based on the Improved AR Model and Modified Sage-Husa Adaptive Kalman Filter
,” Sensors
, 16
(7
), pp. 1073
–1091
. 10.3390/s16071073Copyright © 2020 by ASME
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