A new load-dependent Ritz vector method for structural dynamics analyses: quasi-static Ritz vectors

摘要

Existing load-dependent Ritz vector (LDRV) methods employ static recurrence procedures to generate the Ritz vectors. As such, these vector methods are best suited for low-frequency problems. For thigher-frequency Problems, the existing methods may engender large sets of Ritz vectors, which significantly reduces the Methods' efficiency. A new algorithm is presented for LDRV generation using a quasi-static recurrence Procedure, denoted as the quasi-static Ritz vector (QSRV0) method. A tuning parameter, designated as the Centering frequency, controls the behavior of the QSRV approach, enabling the new method to improve Upon existing LDRV methods for particular frequency ranges of interest.