Experimental investigation on the time-varying modal parameters of a trapezoidal plate in temperature-varying environments by subspace tracking-based method
Restricted accessResearch articleFirst published online December, 2015
Experimental investigation on the time-varying modal parameters of a trapezoidal plate in temperature-varying environments by subspace tracking-based method
Subspace-based methods for estimation of modal parameters are briefly reviewed in this study and a time-varying modal parameter identification algorithm, based on finite-data-window Projection Approximation Subspace Tracking, is presented to investigate the time-varying modal parameters of a trapezoidal titanium-alloy plate in temperature-varying environments. An experiment conducted on a steel beam with a removable mass is used to confirm the proposed method with a brief discussion on the factors of this method. Two groups of experiments are conducted to reveal the effects of varying temperature and heating speed on the natural frequencies of the plate, and the identified natural frequencies evidently show the effect of thermal stresses caused by temperature gradients in experiment.
AvsecJOblakM (2007) Thermal vibrational analysis for simply supported beam and clamped beam. Journal of Sound and Vibration308: 51–525.
2.
BananMRMehdi-pourY (2007) Detection and assessment of damage in 2D structures using measure modal response. Journal of Sound and Vibration306: 803–817.
3.
BosseATaskerFFisherS (1998) Real-time modal parameter estimation using subspace methods: application. Mechanical Systems and Signal Processing12(6): 809–823.
4.
DeyiZYuequanBHui Li (2012) Investigation of temperature effects on modal parameters of the China National Aquatics Center. Advances in Structural Engineering15(7): 1139–1153.
5.
DingFXiaoY (2007) A finite-data-window least squares algorithm with a forgetting factor for dynamical modeling. Applied Mathematics and Computation186: 184–192.
6.
GuoX-XWangZ-MWangY (2009) Analysis of the coupled thermoelastic vibration for axially moving beam. Journal of Sound and Vibration325: 597–608.
7.
GuoX-XWangZ-MWangY (2011) Dynamic stability of thermoelastic coupling moving plate subjected to follower force. Applied Acoustics72: 100–107.
8.
HiosJDFassoisSD (2009) Stochastic identification of temperature effects on the dynamics of a smart composite beam: assessment of multi-model and global model approaches. Smart Materials and Structures18: 1–15.
9.
Jeon BH, Kang H, Kang W and Lee YS (2011) Free vibration characteristics of rectangular plate under rapid thermal loading. In: 9th International Congress on thermal stress, Budapest.
10.
KimJLynchJP (2012) Subspace systems identification of support-excited structures - part I: theory and black-box system identification. Earthquake Engineering and Structural Dynamics41: 2235–2251.
11.
Kehoe MW and Deaton VC (1993) Correlation of Analytical and Experimental Hot Structure Vibration Results. NASA Technical memorandum 104269.
12.
Kehoe MW and Snyder HT (1991) Thermoelastic vibration test techniques. NASA Technical Memorandum 101742.
13.
LeungS-HSoCF (2005) Gradient-based variable forgetting factor RLS algorithm in time-varying environments. IEEE Transactions on Signal Processing53(8): 3141–3150.
14.
LiuK (1999) Extension of modal analysis to linear time-varying system. Journal of Sound and Vibration226(1): 149–167.
15.
LiuKDengL (2006) Identification of pseudo-natural frequencies of an axially moving cantilever beam using a subspace-based algorithm. Mechanical Systems and Signal Processing20: 94–113.
16.
LjungL (1999) System identification: theory for the user 2nd edition, Englewood Cliffs: Prentice-Hall.
17.
LiuTYChiangWLChenCW (2011) Identification and monitoring of bridge health from ambient vibration data. Journal of Vibration and Control17(4): 589–603.
18.
MalikMB (2006) State-space recursive least-squares with adaptive memory. Signal Processing86: 1365–1374.
19.
Marques RF, Inman DJ and Rade DA (2002) An analytical model for a clamped isotropic beam under thermal effects. Proceedings of IMECE 2002 November: 17–22.
20.
NiemannHMorlierJShahdinA (2010) Damage localization using experimental modal parameters and topology optimization. Mechanical System and Signal Processing24: 636–652.
21.
OverscheePVMoorBD (1994) N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems. Automatica30(1): 75–93.
22.
PaleologuCBenestyJCiohinaS (2008) A robust variable forgetting factor recursive least-squares algorithm for system identification. IEEE Signal Processing Letters15: 597–660.
23.
PoulimenosAGFassoisSD (2006) Parametric time-domain methods for non-stationary random vibration modelling and analysis - A critical survey and comparison. Mechanical Systems and Signal Processing20: 763–816.
24.
PoulimenosAGFassoisSD (2009) Output-only stochastic identification of a time-varying structure via functional series TARMA models. Mechanical Systems and Signal Processing23: 1180–1204.
25.
PangSYuKZouJ (2005) Improved subspace method with application in linear tie-varying structural modal parameter identification. Chinese Journal of applied mechanics22(2): 184–189. (In Chinese).
26.
TaskerFBosseAFisherS (1998) Real-time modal parameter estimation using subspace methods: theory. Mechanical Systems and Signal Processing12(6): 797–808.
27.
VerbovenPCaubergheBGuillaumeP (2004) Modal parameter estimation and monitoring for on-line flight flutter analysis. Mechanical System and Signal Processing18: 587–610.
28.
WhelanKJGangoneMVJanoyanKDJhaR (2011) Operational modal analysis of a multi-span skew bridge using real-time wireless sensor networks. Journal of Vibration and Control17(13): 1952–1963.
29.
YangB (1995) Projection Approximation subspace tracking. IEEE Transactions of Signal Processing43(1): 95–107.
