Nieparametryczna metoda identyfikacji zmian masy i sztywności konstrukcji

• Autorzy: Suwała G.

Warianty tytułu

EN

Nonparametric identification of structural mass and stiffness modifications

• Języki publikacji: PL

Abstrakty

PL

W niniejszej pracy zaproponowano i eksperymentalnie zweryfikowano niskoczęstotliwościową metodę identyfikacji zmian masy i sztywności konstrukcji. Zaproponowana metoda wykorzystuje nieparametryczny model konstrukcji referencyjnej w postaci zbioru jej doświadczalnie zarejestrowanych odpowiedzi. Takie podejście pozwala uniknąć kłopotliwego i podatnego na błędy etapu budowy i kalibracji parametrycznego modelu konstrukcji referencyjnej, a jednocześnie — co jest charakterystyczną cechą zaproponowanej metody — umożliwia modelowanie i identyfikację jej parametrycznie wyrażonych modyfikacji i obciążeń. W celu formalizacji metody wykorzystana została ogólna metodologia metody dystorsji wirtualnych, a główną ideą jest zastąpienie zmian parametrów masowych i sztywnościowych konstrukcji równoważnym im pseudo obciążeniem, którego wpływ na odpowiedź konstrukcji modelowany jest w sposób nieparametryczny. Takie ogólne postawienie problemu pozwoliło na opracowanie szczegółowych sformułowań w dziedzinie czasu i w dziedzinie Laplace'a, w tym problemu wprost i problemu odwrotnego. Gradient i hesjan funkcji celu zostały wyznaczone w formie analitycznej, co umożliwiło zastosowanie do rozwiązania zadania odwrotnego klasycznych gradientowych metod optymalizacyjnych pierwszego i drugiego rzędu. Podstawowe sformułowanie zostało rozszerzone na przypadek identyfikacji parametrów uderzenia idealnie niesprężystego. Weryfikację doświadczalną opracowanej metody przeprowadzono w zakresie identyfikacji zmian masy, sztywności i obciążenia dynamicznego przy wykorzystaniu przestrzennej konstrukcji 70-elementowego wspornika kratowego.

EN

This thesis proposes and experimentally verifies a low-frequency method for identification of modifications of structural mass and stiffness. The proposed method is based on a nonparametric model of the unmodified structure, which is constituted by a set of its experimentally recorded responses. Such a nonparametric approach avoids the troublesome and error-prone stage of parametric model updating, while it allows parametrically expressed structural modifications and loads to be modeled and identified. The approach was formalized by means of the general methodology of the virtual distortion method. The main idea is to model parametric modifications with the equivalent pseudo load, whose effect on the structural response is modeled nonparametrically. Such a general idea was developed into two specific formulations in time domain and in Laplace domain, including the direct and inverse problems. The gradient and the Hessian of the objective function were expressed analytically, which allowed the inverse problem to be solved by means of classical, gradient-based optimization methods of the first and second order. The basic formulations were extended to include the case of identification of an inelastic impact. In the experimental verification, a 70-element space cantilever truss was used in the tasks of identification of mass and stiffness modifications and of dynamic loads.

Słowa kluczowe

PL

masa konstrukcji; sztywność konstrukcji; metody numeryczne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: IPPT Reports on Fundamental Technological Research
• Rocznik: 2016
• Tom: nr 4
• Strony: 1--153
• Opis fizyczny: Bibliogr. 171 poz., tab., wykr.

Twórcy

autor

Suwała G.

• Instytut Podstawowych Problemów Techniki, Polska Akademia Nauk

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.