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Use of recurrence plots in the process of recognition the changes in technical condition of the object
Języki publikacji
Abstrakty
W pracy opisano metody rekonstrukcji trajektorii w przestrzeni fazowej. Do analizy sygnału akustycznego odpowiedzi impulsowej obiektu wykorzystano opartą na twierdzeniu Takensa metodę opóźnień. Zaproponowano analizę ilościową tak zrekonstruowanej trajektorii z wykorzystaniem diagramów rekurencyjnych. Diagramy rekurencyjne wykorzystano do diagnostyki pęknięć zmęczeniowych elementów konstrukcyjnych, których modelem jest belka prostoliniowa. Wyznaczono diagramy własne dla belek o rosnącej głębokości pęknięcia. Analizowano wpływ dwu typów błędów na efektywność proponowane metody detekcji uszkodzenia.
Possibilities of the phase trajectories utilization to the diagnostics of the structural elements damages were described in the work. As a damage function the qualitative as well as quantitative analysis of the recurrence plot of the trajectory whose attractor is the point of static equilibrium of the diagnosed element (static deflection of the element) was cho-sen. Recurrence plot is the graph of the recurrences of the process or phenomenon or structure states. Recurrence plot is based on the fact that the phase trajectory returns or recurs to former states. Such a recurrence is a fundamental characteristic of many dynamical systems. As a tool of the signal processing recurrence plot can be used for linear and nonlinear signal. There is no restriction to the length of signal, it can be used for short and long signals. In the work the recurrence plot was used to damage detection (fracture) of beam like structure. As a damage function a Recurrence Rate, Recurrence time, and Transitivity were chosen. The utilization of the proposed diagnostic method based on the quantitative analysis of the recurrence plot of the phase trajectory allows to the fast and effective diagnostics of damages. The comparison of current plot with plot from the previous diagnostic investigation indicate if the crack is the propagating or stationary.
Wydawca
Czasopismo
Rocznik
Tom
Strony
794--800
Opis fizyczny
Bibliogr. 20 poz., rys., wykr., wzory
Twórcy
Bibliografia
- [1] Abarbanel H.: Analysis of observed chaotic data, Springer 1996.
- [2] Baker G., Gollub J.: Chaotic Dynamics: An Introduction, Cambridge University Press, 1998.
- [3] Batko W., Majkut L.: The phase trajectories as the new diagnostic discriminates of foundry machines and devices usability, Archives of Metallurgy and Materials, 52, 2007, pp. 389-394.
- [4] Batko W., Majkut L.: Classification of phase trajectory portraits in the process of recognition the changes in technical condition of monitored machines and constructions, Archives of Metallurgy and Materials 55, 2010, pp. 757-762.
- [5] Chandrashekhar M., Ganguli R.: Damage assessment of structures with uncertainty by using mode-shape curvatures and fuzzy logic, Journal of Sound and Vibration 326, 2006, pp. 939-957.
- [6] Dilena M., Morassi A.: The use of antiresonaces for crack detection in beams, Journal of Sound and Vibration 276, 2004, pp. 195214.
- [7] Eckmann J. P., Kamphorst S., Ruelle D.: Recurrence plots of dynamical systems, Europhysics Letters 4, 1987, pp. 973-977.
- [8] Grandt A. Fundamentals of structural integrity: damage tolerant design and nondestructive evaluation, Hoboken, 2004.
- [9] Kawiecki G.: Modal damping measurement for damage detection. Smart Materials and Structures 10, 2001, pp. 466-471.
- [10] Maiti, S. K., Wathare, S. M.: Fatigue crack growth measurement based on changes in transverse natural frequency, International Journal of Fracture 141, 2006, pp. 339-344.
- [11] Majkut L.: Identyfikacja pęknięcia na podstawie amplitud drgań wymuszonych, Kwartalnik AGH Mechanika 24, 2005, str. 199-204.
- [12] Majkut L.: Acoustical diagnostics of cracks in beam like structures, Archives of Acoustics 31, 2006, pp. 17-28.
- [13] Majkut L.: Diagnostyka wibroakustyczna uszkodzeń elementów konstrukcyjnych, Wydawnictwo ITE, Radom, 2010.
- [14] Majkut L.: Eigenvalue based inverse model of beam for structural modification and diagnostics. part I: Theoretical formulation, Latin American Journal of Solids and Structures 7, : 2010, pp. 423-436.
- [15] Majkut L.: Eigenvalue based inverse model of beam for structural modification and diagnostics. part II: Examples of using, Latin American Journal of Solids and Structures 7, 2010, pp. 437-456.
- [16] Marwan N., Romano M., Thiel M., Kurths J.: Recurrence plots for the analysis of complex systems, Physics Reports 438, 2002, pp. 237-329.
- [17] Nichols J., Seaver M., Trickey S.: A method for detecting damage-induced nonlinearities in structures using information theory, Journal of Sound and Vibration 297, 2006, pp. 1-16.
- [18] Owolabi G., Swamidas A., Seshadri R.: Crack detection in beams using changes in frequencies and amplitudes of frequency response functions, Journal of Sound and Vibration 265, 2003: 1-22.
- [19] Takens F.: Detecting strange attractors in turbulence, in D. Rand L.S. Young (Eds), Dynamical Systems and Turbulence, Springer-Verlag, Berlin, 1981, pp. 366-381.
- [20] Trulla L., Giulian A., Zbilut J., Webber C.: Recurrence quantification analysis of the logistic equation with transient, Physics Letters A 223, 1996: 255–260.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW4-0103-0025