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Obtaining Mode Shapes through the Karhunen-Loève Expansion for Distributed-Parameter Linear Systems
2002
Shock and Vibration
The Karhunen-Loève expansion is a powerful spectral technique for the analysis and synthesis of dynamical systems. It consists in decomposing a spatial correlation matrix, which can be obtained through numerical or physical experiments. The decomposition produces orthogonal eigenfunctions or proper orthogonal modes, and eigenvalues that provide a measurement of how much energy is contained in each mode. The relation between KL modes and mode shapes of linear vibrating systems has already been
doi:10.1155/2002/142485
fatcat:73eetncg3fennmvuaxofaj7h5u