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Impact force identification in structures using time-domain spectral finite elements

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Abstract

During the launch and subsequent life of a spacecraft, there are various transient loads due to stage separation and micro-meteorite impact which a spacecraft structure must be designed to withstand. However, the force histories for these transients at these locations are not available to design the structure due to practical considerations like mounting of instrumentation. To address this problem, a new algorithm for performing impact force identification based on time-domain responses measured at various locations is proposed. The time-domain spectral finite element model is adopted as it requires a fewer number of measured responses which clearly has an advantage with respect to conventional finite element method. Hence, we use time-domain spectral finite element method, to generate the mass, stiffness, and damping matrices, which are required to perform force identification. Experiments are performed to obtain the time-domain responses on the beam and portal frame structures on which force identification is performed. The efficiency of the new algorithm is demonstrated using a variety of responses and different one-dimensional structures. However, the proposed algorithm is general in nature and can be used for one-, two-, and three-dimensional structures and with conventional generalized finite element model. The results from the proposed algorithm show an excellent match between the reconstructed force histories and the experimentally measured force.

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Acknowledgements

The authors acknowledge the support provided in terms of fabrication of test specimen, test equipments, instrumentation, and fixtures, provided by Reliability and Quality Assurance Mechanical Systems division, Facility Group and Structures Group of U R Rao Satellite Center, Indian Space Research Organisation, Bengaluru.

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Correspondence to Raghavendra B. Kulkarni.

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Kulkarni, R.B., Gopalakrishnan, S. & Trikha, M. Impact force identification in structures using time-domain spectral finite elements. Acta Mech 231, 4513–4528 (2020). https://doi.org/10.1007/s00707-020-02775-8

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  • DOI: https://doi.org/10.1007/s00707-020-02775-8

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