Abstract
This paper examines the problem of determining the number and the spatial distribution of the inputs that act on a linear system from observation of the outputs. It is shown that the number of independent inputs can be obtained from the effective rank of a matrix that can be formulated from the Fourier transform of the response signals and that the input location information is encoded in the image of the same matrix. A scheme to identify the time histories once the input positions are established is outlined.
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References
Maia NMM, Lage YW, Neves MM (2012) Recent advances on force identification in structural dynamics, Chapter 6. http://dx.doi.org/10.5772/51650.
Bernal D, Ussia A. Sequential deconvolution input reconstruction. Mech Syst Signal Process (in review)
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© 2014 The Society for Experimental Mechanics, Inc.
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Bernal, D., Ussia, A. (2014). Identification of Independent Inputs and Their Spatial Positions. In: Foss, G., Niezrecki, C. (eds) Special Topics in Structural Dynamics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04729-4_12
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DOI: https://doi.org/10.1007/978-3-319-04729-4_12
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04728-7
Online ISBN: 978-3-319-04729-4
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