Frequency analysis of reinforced concrete structures subjected to accidental impacts

Abstract : If an industrial structure is designed to withstand a direct commercial aircraft impact, the vibrations induced by such a shock would propagate throughout the walls and slabs of this structure. These vibrations might result in significant dynamic excitation of the internal equipments. If these equipments are needed after the impact, typically to bring the industrial facility to a safe state, they must be designed to withstand this dynamic excitation. It is therefore necessary to determine the type and amplitude of the vibrations induced by the aircraft impact on the structure. This determination is usually performed by dynamic analyses studies. From the structure point of view, the commercial aircraft impact results in a bending problem. This phenomenon induces the formation of a localized non-linear area around the impact zone, where cracks are formed into the concrete and the reinforcement bars yield. Far from the impact zone, where vibrations levels are seeked for the design of equipments, it can be considered that the structure remains essentially elastic. The structural dynamic response to an aircraft impact can be determined by using classical finite element method (FEM) associated with explicit numerical schemes. This method is relatively costly in terms of calculation time. This cost is due to the fact that FEM calculations must be carried out with a mesh refined enough to take into account the all the wavelengths of the induced motions. The cutoff frequency for this type of loading is typically within the 50 to 100 Hz range, which would be referred to as the high frequency range [HER13]. The use of a refined mesh then leads to the need for a refined time discretization. As a consequence, the high frequency range is often less precisely represented than the low frequency content. The purpose of our study is to develop new ways for calculating the induced vibrations in reinforced concrete structures submitted to a commercial aircraft impact. The paper is structured as follows: Section 1 presents the description of the strategy used; Section 2 describes an example case and the input signal applied to it; Section 3 illustrates the determination of the non-linear area through a FE calculation; the Section 4 explains the VTCR method and shows its application on the industrial structure; finally, conclusions and perspectives are drawn in Section 5.
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Christophe Rouzaud, Fabrice Gatuingt, Olivier Dorival, Guillaume Hervé, Nadim Moussallam. Frequency analysis of reinforced concrete structures subjected to accidental impacts. 2nd Conference on Technological Innovations in Nuclear Civil Engineering TINCE2014, Sep 2014, Paris, France. ⟨hal-01183176⟩

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