PHYSICAL INTERPRETATION OF THE PROPER ORTHOGONAL MODES USING THE SINGULAR VALUE DECOMPOSITION

311 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Identification of a continuous structure with a geometrical non-linearity. Part II: Proper orthogonal decomposition (2003, methodology): “The application of POD to measured displacements of a discrete structure with a known mass matrix leads to an estimation of the normal modes [5, 6 ] .I nRef.”
The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview (2005, background): “The physical interpretation of the POMs was pursued in references [73–76], and more details have been given in the case of harmonic and random excitations and for continuous structures.”
Physical interpretation of independent component analysis in structural dynamics (2007, background): “The relation between the proper orthogonal modes (POMs), extracted from the proper orthogonal decomposition (POD, also known as principal component analysis), and the normal modes was demonstrated in several studies [6] [7] [8].”
Model Order Reduction and domain decomposition strategies for the solution of the dynamic elastic–plastic structural problem (2015, unknown): “The columns of the matrix L s result to be the sought POMs of the sub-domain (see [1,4,35]).”