Abstract
The accurate prediction of the structural response of spacecraft systems during launch and ascent phase is a crucial aspect in design and verification stages which requires accurate numerical models. The enhancement of numerical models based on experimental data is denoted model updating and focuses on the improvement of the correlation between finite element (FE) model and test structure. In aerospace industry the examination of the agreement between model and real structure involves the comparison of the modal properties of the structure. Model updating techniques have to handle several difficulties, like incomplete experimental data, measurement errors, non-unique solutions and modeling uncertainties. To cope with the computational challenges associated with the large-scale FE-models involving up to over one million degrees of freedom (DOFs), enhanced strategies are required. A large-scale numerical example, namely a satellite model, will be used for demonstrating the applicability of the employed updating procedure to complex aerospace structures.
G.I. Schuëller is deceased.
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Acknowledgements
This research was partially supported by the European Space Agency (ESA) under Contract No. 20829/07/NL/EM, which is gratefully acknowledged by the authors. The authors thank Thales Alenia Space Italy for the FE-model of the GOCE satellite and the experimental modal data. The first author is a recipient of a DOC-fForte-fellowship of the Austrian Academy of Science at the Institute of Engineering Mechanics (University of Innsbruck).
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Appendix: Interaction with 3rd Party Software
Appendix: Interaction with 3rd Party Software
FE models are defined uniquely by one or more ASCII input files. These files contain the definition of the nodes and elements constituting the model, as well as the structural parameters and boundary and loading conditions in form of fixed numerical values. However, in a stochastic analysis some of these values change, since they are samples from a given probability distribution function. Thus, it is envisioned to automatically manipulate the input files such that in each simulation the respective sample values are inserted into the FE-input file. For this purpose, XML-like tags, called identifiers, are inserted into the master input files in order to define the parameters which have to be changed in each simulation, as shown in Fig. 13.13. An identifier defines the name of the random variable used within the stochastic analysis, the format in which the number is written into the file as well as the original value of the parameter.
Excerpt of a master input file with identifiers
The code used to drive the simulation is COSSAN-X, a software for computational stochastic structural analysis [28]. This code parses the master input files in order to identify the positions and the insertion formats of all variables. In each analysis, these identifiers are replaced by sampled numerical values, obtaining a valid input file which is then used for the finite element analysis (see Fig. 13.14). It shall be noted that this software is not restricted to a particular FE-code, but it is applicable to any FE-solver which uses ASCII input files.
Excerpt of a stochastic analysis input file with sampled values
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Goller, B., Broggi, M., Calvi, A., Schuëller, G.I. (2013). Efficient Model Updating of the GOCE Satellite Based on Experimental Modal Data. In: Papadrakakis, M., Stefanou, G., Papadopoulos, V. (eds) Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5134-7_13
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