Moving Load Identification on Multi span Continuous Bridges With Elastic Bearings
Skip Nav Destination
Research Papers
Influences of Elastic Supports on Moving Load Identification of Euler–Bernoulli Beams Using Angular Velocity
Guandong Qiao,
Department of Civil and Environmental Engineering,
Iowa Technology Institute, The University of Iowa
,
Iowa City, IA 52242
Search for other works by this author on:
Salam Rahmatalla
Department of Civil and Environmental Engineering,
Iowa Technology Institute, The University of Iowa
,
Iowa City, IA 52242
Search for other works by this author on:
Guandong Qiao
Department of Civil and Environmental Engineering,
Iowa Technology Institute, The University of Iowa
,
Iowa City, IA 52242
Salam Rahmatalla
Department of Civil and Environmental Engineering,
Iowa Technology Institute, The University of Iowa
,
Iowa City, IA 52242
Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics.
J. Vib. Acoust. Aug 2021, 143(4): 041010 (13 pages)
Published Online: December 8, 2020
Article history
Revised:
November 5, 2020
Accepted:
November 5, 2020
Published:
December 8, 2020
Abstract
This work investigates the effect of elastic support stiffness on the accuracy of moving load identification of Euler–Bernoulli beams. It uses the angular velocity response in solving the ill-posed inverse vibration problem and Tikhonov regularization in the load identification process of two moving loads. The effects from moving loads' traveling direction, measurement location arrangements, number of participant measurements, and damping ratios are considered in the studies under noisy disturbance conditions. Results show that the stiffness of the translational rotational springs at the boundaries can impact the accuracy of identified moving loads considerably. Angular velocities presented much better results than accelerations under low stiffness conditions when vertical elastic supports were used. However, acceleration showed better performance when a very soft translational spring was used at one end and a much stiffer translational spring at the other end, as well as when rotational springs with large stiffness were used with simply supported beam conditions. The combination of angular velocities and accelerations provided a balanced solution for a wide range of elastic supports with different stiffnesses.
References
1.
Frýba L.
1999
,
Vibration of Solids and Structures Under Moving Loads
,
Thomas Telford
,
London
.
2.
Yang Y. B. Wu Y. S. Yao Z.
2004
,
Vehicle–Bridge Interaction Dynamics With Applications to High-Speed Railways
,
World Scientific
,
London
.
3.
Law S. S. Chan T. H. Zeng Q.
1997
, "
Moving Force Identification: A Time Domain Method
,"
J. Sound Vib.
,
201
(
1
), pp.
1
–
22
. 10.1006/jsvi.1996.0774
5.
Law S. S. Chan T. H. Zeng Q.
1999
, "
Moving Force Identification—A Frequency and Time Domains Analysis
,"
J. Dyn. Syst. Meas. Control
,
121
(
3
), pp.
394
–
402
. 10.1115/1.2802487
6.
Law S. S. Zhu X.-Q.
2011
,
Moving Loads-Dynamic Analysis and Identification Techniques (Structures and Infrastructures Book Series, Vol. 8)
,
CRC Press
,
London
.
7.
Karbhari V. M. Ansari F.
2009
,
Structural Health Monitoring of Civil Infrastructure Systems
,
Woodhead Publishing
,
Cambridge
.
8.
Rao S. S.
2019
,
Vibration of Continuous Systems
,
John Wiley & Sons
,
New York
.
9.
Qiao G. Rahmatalla S.
2019
, "
Identification of the Viscoelastic Boundary Conditions of Euler–Bernoulli Beams Using Transmissibility
,"
Eng. Rep.
,
1
(
5
), p.
e12074
. 10.1002/eng2.12074
10.
Qiao G. Rahmatalla S.
2020
, "
Dynamics of Euler–Bernoulli Beams With Unknown Viscoelastic Boundary Conditions Under a Moving Load
,"
J. Sound Vib.
, p.
115771
. 10.1016/j.jsv.2020.115771
11.
Froio D. Rizzi E. Simões F. M. Da Costa A. P.
2018
, "
Dynamics of a Beam on a Bilinear Elastic Foundation Under Harmonic Moving Load
,"
Acta Mech.
,
229
(
10
), pp.
4141
–
4165
. 10.1007/s00707-018-2213-4
12.
Froio D. Rizzi E. Simões F. M. Da Costa A. P.
2018
, "
Universal Analytical Solution of the Steady-State Response of an Infinite Beam on a Pasternak Elastic Foundation Under Moving Load
,"
Int. J. Solids Struct.
,
132
, pp.
245
–
263
. 10.1016/j.ijsolstr.2017.10.005
13.
Dimitrovová Z.
2016
, "
Critical Velocity of a Uniformly Moving Load on a Beam Supported by a Finite Depth Foundation
,"
J. Sound Vib.
,
366
, pp.
325
–
342
. 10.1016/j.jsv.2015.12.023
14.
Mazilu T.
2017
, "
The Dynamics of an Infinite Uniform Euler–Bernoulli Beam on Bilinear Viscoelastic Foundation Under Moving Loads
,"
Procedia Eng.
,
199
, pp.
2561
–
2566
. 10.1016/j.proeng.2017.09.327
15.
Chan T. H. Ashebo D. B.
2006
, "
Theoretical Study of Moving Force Identification on Continuous Bridges
,"
J. Sound Vib.
,
295
(
3–5
), pp.
870
–
883
. 10.1016/j.jsv.2006.01.059
16.
Zhu X. Law S.
2006
, "
Moving Load Identification on Multi-Span Continuous Bridges With Elastic Bearings
,"
Mech. Syst. Sig. Process.
,
20
(
7
), pp.
1759
–
1782
. 10.1016/j.ymssp.2005.06.004
17.
Qiao G. Rahmatalla S.
2020
, "
Moving Load Identification on Euler–Bernoulli Beams With Viscoelastic Boundary Conditions by Tikhonov Regularization
,"
Inverse Probl. Sci. Eng.
, pp.
1
–
38
. 10.1080/17415977.2020.1817916
18.
Chen J. Li J.
2004
, "
Simultaneous Identification of Structural Parameters and Input Time History From Output-Only Measurements
,"
Comput. Mech.
,
33
(
5
), pp.
365
–
374
. 10.1007/s00466-003-0538-9
19.
Pioldi F. Rizzi E.
2016
, "
A Full Dynamic Compound Inverse Method for Output-Only Element-Level System Identification and Input Estimation From Earthquake Response Signals
,"
Comput. Mech.
,
58
(
2
), pp.
307
–
327
. 10.1007/s00466-016-1292-0
20.
Froio D. Rizzi E. Simões F. M. da Costa A. P.
2020
, "
A True PML Approach for Steady-State Vibration Analysis of an Elastically Supported Beam Under Moving Load by a DLSFEM Formulation
,"
Comput. Struct.
,
239
, p.
106295
. 10.1016/j.compstruc.2020.106295
21.
Inoue H. Kishimoto K. Shibuya T. Harada K.
1998
, "
Regularization of Numerical Inversion of the Laplace Transform for the Inverse Analysis of Impact Force
,"
JSME Int. J. Ser. A Solid Mech. Mater. Eng.
,
41
(
4
), pp.
473
–
480
. 10.1299/jsmea.41.473
22.
Jacquelin E. Bennani A. Hamelin P.
2003
, "
Force Reconstruction: Analysis and Regularization of a Deconvolution Problem
,"
J. Sound Vib.
,
265
(
1
), pp.
81
–
107
. 10.1016/S0022-460X(02)01441-4
23.
Choi H. Thite A. N. Thompson D. J.
2006
, "
A Threshold for the Use of Tikhonov Regularization in Inverse Force Determination
,"
Appl. Acoust.
,
67
(
7
), pp.
700
–
719
. 10.1016/j.apacoust.2005.11.003
24.
Choi H. G. Thite A. N. 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.2007.03.040
25.
Mao Y. Guo X. Zhao Y.
2010
, "
A State Space Force Identification Method Based on Markov Parameters Precise Computation and Regularization Technique
,"
J. Sound Vib.
,
329
(
15
), pp.
3008
–
3019
. 10.1016/j.jsv.2010.02.012
26.
Ding Y. Law S. S. Wu B. Xu G. S. Lin Q. Jiang H. B. Miao Q. S.
2013
, "
Average Acceleration Discrete Algorithm for Force Identification in State Space
,"
Eng. Struct.
,
56
, pp.
1880
–
1892
. 10.1016/j.engstruct.2013.08.004
27.
González A. Rowley C. O'Brien E. J.
2008
, "
A General Solution to the Identification of Moving Vehicle Forces on a Bridge
,"
Int. J. Numer. Methods Eng.
,
75
(
3
), pp.
335
–
354
. 10.1002/nme.2262
28.
Asnachinda P. Pinkaew T. Laman J. A.
2008
, "
Multiple Vehicle Axle Load Identification From Continuous Bridge Bending Moment Response
,"
Eng. Struct.
,
30
(
10
), pp.
2800
–
2817
. 10.1016/j.engstruct.2008.02.018
29.
Clough R. W. Penzien J.
1993
,
Dynamics of Structures
,
McGraw-Hill
,
New York
.
30.
Hansen P. C.
2007
, "
Regularization Tools Version 4.0 for Matlab 7.3
,"
Numer. Algorithms
,
46
(
2
), pp.
189
–
194
. 10.1007/s11075-007-9136-9
31.
Phillips D. L.
1962
, "
A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
,"
J. ACM
,
9
(
1
), pp.
84
–
97
. 10.1145/321105.321114
32.
Tikhonov A. N. Arsenin V. I. A.
1977
,
Solutions of Ill-Posed Problems
,
Winston & Sons
,
New York
.
33.
Wahba G.
1990
,
Spline Models for Observational Data (CBMS-NSF Regional Conference Series in Applied Mathematics, 59)
,
SIAM
,
Philadelphia, PA
.
34.
ISO
2016
,
8608: 2016 Mechanical Vibration—Road Surface Profiles—Reporting of Measured Data
,
BSI Standards Publication
,
London
.
35.
Van Loan C. F.
1976
, "
Generalizing the Singular Value Decomposition
,"
SIAM J. Numer. Anal.
,
13
(
1
), pp.
76
–
83
. 10.1137/0713009
36.
Hansen P. C.
1989
, "
Regularization, GSVD and Truncated GSVD
,"
BIT Numer. Math.
,
29
(
3
), pp.
491
–
504
. 10.1007/BF02219234
37.
Rao C. K. Mirza S.
1989
, "
A Note on Vibrations of Generally Restrained Beams
,"
J. Sound Vib.
,
130
(
3
), pp.
453
–
465
. 10.1016/0022-460X(89)90069-2
38.
Register A.
1994
, "
A Note on the Vibrations of Generally Restrained, End-Loaded Beams
,"
J. Sound Vib.
,
172
(
4
), pp.
561
–
571
. 10.1006/jsvi.1994.1198
39.
Kang K. Kim K.-J.
1996
, "
Modal Properties of Beams and Plates on Resilient Supports With Rotational and Translational Complex Stiffness
,"
J. Sound Vib.
,
190
(
2
), pp.
207
–
220
. 10.1006/jsvi.1996.0057
40.
Li W. L.
2000
, "
Free Vibrations of Beams With General Boundary Conditions
,"
J. Sound Vib.
,
237
(
4
), pp.
709
–
725
. 10.1006/jsvi.2000.3150
You do not currently have access to this content.
Sign In
Purchase this Content
Source: https://asmedigitalcollection.asme.org/vibrationacoustics/article/143/4/041010/1091418/Influences-of-Elastic-Supports-on-Moving-Load
0 Response to "Moving Load Identification on Multi span Continuous Bridges With Elastic Bearings"
Postar um comentário