Analysis of bias of modal parameter estimators

• Autorzy: Berczyński S. , Chmielewski K. , Chodźko M.

Warianty tytułu

PL

Analiza obciążeń estymatorów parametrów modalnych

• Języki publikacji: EN

Abstrakty

EN

This paper presents an analysis based on a mathematical model of a bias in modal parameter estimators of a machine tool. The analytically determined amplitude-frequency characteristics were disturbed by random noise. The modal parameter estimation process was based on individual characteristics, followed by the determination of a bias in those parameters.

PL

W pracy prowadzono analizę obciążenia estymatorów parametrów modalnych na przykładzie modelu matematycznego obrabiarki. Wyznaczone analitycznie charakterystyki amplitudowo-częstotliwościowe zakłócono szumem losowym. Dokonano estymacji parametrów modalnych na podstawie poszczególnych charakterystyk. Określono stopień ich obciążenia.

Słowa kluczowe

EN

modal analysis; estimation; bias of estimator

PL

analiza modalna; estymacja; obciążenie estymatora

• Wydawca: Komitet Budowy Maszyn PAN ; De Gruyter
• Czasopismo: Advances in Manufacturing Science and Technology
• Rocznik: 2012
• Tom: Vol. 36, nr 3
• Strony: 19--27
• Opis fizyczny: Bibliogr. 21 poz., fot., rys, tab.

Twórcy

autor

Berczyński S.

autor

Chmielewski K.

autor

Chodźko M.

• Department of Mechanical Engineering and Mechatronics, West Pomeranian University of Technology, al. Piastów 19, 70-310 Szczecin, Poland,

Bibliografia

• [1] O. BURAK OZDOGANLAR, B.D. HANSCHE, T.G. CARNE: Experimental modal analysis for microelectromechanical systems. Experimental Mechanics, 45(2005)6, 498-506.
• [2] J. ELIZABETH et al.: Probabilistic investigation of sensitivities of advanced test-analysis model correlation methods. Journal of Sound and Vibration, 329(2010)13, 2516-2531.
• [3] L. HERMANS, H. VAN DER AUWERAER: Modal testing and analysis of structures under operational conditions: Industrial applications. Mechanical Systems and Signal Processing, 13(1999)2, 193-216.
• [4] DJ. LUSCHER et al.: Modal parameter extraction of Z24 bridge data. Proc. of IMAC 19 the Inter. Modal Analysis Conference (2001), 836-841.
• [5] D.J. EWINS: Adjustment or updating of models. Sadhana, 25(2000)3, 235-245.
• [6] Y. GOVERS, M. LINK: Stochastic model updating - Covariance matrix adjustment from uncertain experimental modal data. Mechanical Systems and Signal Processing, 24(2010)3, 696-706.
• [7] E. REYNDERS, A. TEUGHELS, G. De ROECK: Finite element model updating and structural damage identification using ОМАХ data. Mechanical Systems and Signal Processing, 24(2010)5, 1306-1323.
• [8] S.W. DOEBLING, F.M. HEMEZ: Overview of uncertainty assessment for structural health monitoring. Proc. of the 3 Inter. Workshop on Structural Health Monitoring, Stanford 2001, 1-16.
• [9] J.M. KO et al.: Formulation of an uncertainty model relating modal parameters and environmental factors by using long-term monitoring data. Proc. 2003 SPIE Smart Structures and Materials. San Diego 2003.
• [10] X.Y. LI, S.S. LAW: Structural damage detection with statistical analysis from support excitation. Mechanical Systems and Signal Processing, 22(2008)8, 793-1808.
• [11] S. BERCZYŃSKI, Y.A. KRAVTSOV, O. ANOSOV: Chaotic dynamics reconstruction from noisy data: Phenomenon of predictability worsening for incomplete set of observables. Chaos, Solitons and Fractals, 41(2009)3, 1459-1466.
• [12] O. ÖZŞAHIN, H.N. ÖZGÜVEN, E. BUDAK: Analysis and compensation of mass loading effect of accelerometers on tool point FRF measurements for chatter stability predictions, Inter. Journal of Machine Tools & Manufacture, 50(2010)6, 585-589.
• [13] M. LAMB, V. ROUILLARD: Some issues when using Fourier analysis for the extraction of modal parameters. Proc. 7th International Conference on Modern Practice in Stress and Vibration Analysis. Journal of Physics: Conference Series, 181(2009).
• [14] С FARRAR et al.: A comparison study of modal parameter confidence intervals computed using the Monte Carlo and Bootstrap techniques. Proc. of the Inter. Modal Analysis Conference IMAC, 2(1998), 936-944.
• [15] R. PINTELON, P. GUILLAUME, J. SCHOUKENS: Uncertainty calculation in (operational) modal analysis. Mechanical Systems and Signal Processing, 21(2007)6,2359-2373.
• [16] E. REYNDERS, R. PINTELON, G. DE ROECK: Uncertainty bounds on modal parameters obtained from stochastic subspace identification. Mechanical Systems and Signal Processing, 22(2008)4, 948-969.
• [17] K.A. PETSOUNIS, S.D. FASSOIS: Critical comparison of parametric time domain methods for the identification of vibrating structures. The narrowband noise case. Proc. Inter. Conf. on Structural System Identification. Kassel 2001.
• [18] F. PEETERS et al.: Identification of rotor-bearing systems in the frequency domain. Mechanical Systems and Signal Processing, 15(2001)4, 775-788.
• [19] BERCZYŃSKI., M. LACHOWICZ: Aproksymacja charakterystyk częstotliwościowych w zagadnieniach analizy modalnej. Materiały V Szkoły Analizy Modalnej, Kraków 2000.
• [20] F C. SCHWEPPE: Układy dynamiczne w warunkach losowych. WNT, Warszawa 1978.
• [21] N.M.M. ΜΑΙΑ: Theoretical and experimental modal analysis. Research Studio Press, Baldock Herdfortshire 1998.