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• W2002807865 abstract "In this paper, a reduced order modeling framework for nonlinear vibration problems of elastic structures involving intermittent contact is proposed. Of particular interest is a vibration problem of plate-like elastic structures with a crack with a large number of degrees of freedom involved on the crack surfaces. Due to the localized nature of such nonlinearity, the number of degrees of freedom on the surfaces greatly affects the computational time of the analysis. Therefore, reducing the number of degrees of freedom on the crack surfaces without significantly sacrificing the accuracy of the results is a critical issue for conducting vibration analysis of such structures in a reasonable amount of time. The focus is placed on the development of an efficient algorithm to select a set of nodes on the crack surfaces, where nonlinear boundary conditions are imposed. The method is developed based on a procedure for selecting master degrees of freedom for Guyan reduction. The accuracy, efficiency, and optimality of the method are discussed in detail and compared with those aspects of previous methods. The advantages of the new method are demonstrated in terms of the accuracy of the frequency response and the resonant frequencies. IBRATION problems of structures with intermittent contact have been studied extensively for several decades. These problems have practical importance and feature theoretical complexity due to their nonlinear nature. A numerical modeling procedure of such problems based on the finite element (FE) method is presented in this paper. This work is motivated by a need for developing a model-based crack detection algorithm of elastic structures based on their spectral properties, such as resonant frequencies and response shapes. In order to properly predict the resonant frequencies of such structures, one has to consider the nonlinearity caused by intermittent contact at the cracks, the so-called closing crack or breathing crack effect. This has hindered analysts from accurately calculating the resonant frequencies of cracked structures, because they cannot be calculated from classical linear modal analysis. As some sophisticated contact algorithms have been developed, such as the penalty method 1 and the augmented Lagrangian method, 2 the accuracy of the results of time transient simulation with FE models involving intermittent contact has been improved. Furthermore, studying vibration problems of such structures with an FE model with a realistic complexity is becoming feasible with the aid of high-performance computers. However, in turn, due to" @default.
• W2002807865 created "2016-06-24" @default.
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• W2002807865 date "2009-05-04" @default.
• W2002807865 modified "2023-09-26" @default.
• W2002807865 title "An Efficient Reduced Order Modeling Technique for Nonlinear Vibration Analysis of Structures with Intermittent Contact" @default.
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• W2002807865 doi "https://doi.org/10.2514/6.2009-2493" @default.
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