Substructuring technique: improvement by means of singular value decomposition (SVD)

The development of a Component Mode Synthesis (CMS) model for three-dimensional fluid–structure interaction

“…8 Equation ͑52͒ can be solved numerically by the application of a pseudoinversion technique, e.g., using Singular Value Decomposition. 9 One decision that has to be made by the analyst who uses component modes is how many modes to use. In order to prevent the matrices becoming singular, the number of constraint modes should be equal in number to the number of redundant constraints.…”

Noise elimination from measured frequency response functions

“…Pickrel [7] focused on the assessment of the quality of the data and used the singular value decomposition (SVD) technique to estimate the effects of frequency band, number of measurement locations and signal-to-noise ratio in measured response data. Various improved techniques, usually based on SVD, have been developed to reduce the vulnerability of individual applications to noisy FRFs including; modal parameter estimations [8][9][10], structural coupling/modification where reliable inversion of a matrix is required [11][12][13][14][15][16], model updating where model parameters are adjusted using modal or FRF data [17], optimum test planning for modal testing [18] and system identification [22][23][24][25][26]. It is interesting to note, however, that the subject of elimination/minimisation of noise from measured FRFs has not attracted enough attention that it deserves although noise elimination techniques have been developed and used actively in other application areas.…”

Development of an advanced noise reduction method for vibration analysis based on singular value decomposition

“…The SVD technique has been widely used in many fields in recent years, such as acoustics [27], smart control [28,29], electronics [30,31], signal processing [22,23,32,33], mathematics [34,35] and so on. However, compared to its achievements in above-mentioned fields, the research in noise reduction field has not been done sufficiently.…”