Zastosowanie diagramów rekurencyjnych do oceny stanu technicznego obiektu

• Autorzy: Batko W. , Majkut L.

Warianty tytułu

EN

Use of recurrence plots in the process of recognition the changes in technical condition of the object

• Języki publikacji: PL

Abstrakty

PL

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.

EN

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.

Słowa kluczowe

PL

diagram rekurencyjny; trajektoria fazowa; metoda opóźnień; atraktor; diagnostyka wibroakustyczna

EN

recurrence plot; phrasal trajectory; method of delay; attractor; vibroacoustic diagnostics

• Wydawca: Wydawnictwo PAK
• Czasopismo: Pomiary Automatyka Kontrola
• Rocznik: 2011
• Tom: R. 57, nr 7
• Strony: 794--800
• Opis fizyczny: Bibliogr. 20 poz., rys., wykr., wzory

Twórcy

autor

Batko W.

autor

Majkut L.

• Akademia Górniczo-Hutnicza, Al. Mickiewicza 30, 30-059 Kraków,

Bibliografia

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