Why there is a large "Global Force Balance Relative Error" for Ritz vectors?
The global force balance for a given mode is a measure of how "true" an Eigenvector is. Eigenvectors For a given mode, global force balance measures the accuracy of an Eigenvector, which should always have small errorserror. The Since lower Ritz modes converge to Eigenvectors, they too should also have small errors, since they converge to the Eigenvectors. The higher Ritz modes will have larger errors, error. Higher Ritz modes, on the other hand, will demonstrate larger error since they are actually linear combinations of higher-modes mode Eigenvectors, and which do not exactly satisfy the formulation K * v - w2 * M * v = 0. However, provided that you have enough When sufficient lower-frequency modes , the upper are provided, higher-frequency modes should be responding statically and this dynamic equilibrium violation may not be importantrespond statically, minimizing the degree and importance of this violation of dynamic equilibrium.