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Język Polski
Stochastyczna analiza falkowa dźwigarów kratowych metodą elementów skończonych
DOI:
https://doi.org/10.24425/ace.2025.154118Abstrakt
W artykule przedstawiono problematykę wykrywania uszkodzeń dźwigarów stalowych. Rolę zmiennych mierzonych pełnią przemieszczenia statyczne w wybranym punkcie konstrukcji. Strukturalna dekompozycja sygnału odpowiedzi odbywa się zgodnie z algorytmem piramidy Mallata, który służy do wykonywania dyskretnej transformaty falkowej (DWT). Procedura ta pozwala dość dobrze określić lokalizację uszkodzeń konstrukcji. Geometria i umiejscowienie wadliwej części konstrukcji może mieć charakter losowy. Można założyć, że procesy losowe zachodzące w szeroko rozumianej mechanice konstrukcji mają charakter gaussowski. Pierwsze cztery momenty losowe szacowane są za pomocą trzech niezależnych metod: pół-analitycznej, perturbacyjnej i symulacji Monte-Carlo. Zastosowanie matematycznego aparatu stochastycznego do klasycznej (deterministycznej) analizy statyki konstrukcji umożliwia oszacowanie miar niezawodności analizowanego dźwigara stalowego.Bibliografia
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