Adaptive frequency windowing for multifrequency solutions in structural acoustics based on the matrix Padé-via-Lanczos algorithm

Autor:	James P. Tuck-Lee, Peter M. Pinsky
Rok vydání:	2008
Předmět:	Numerical Analysis Applied Mathematics Mathematical analysis General Engineering Lanczos algorithm Large range Connection (mathematics) Matrix (mathematics) Region of interest Frequency domain Padé approximant Algorithm Structural acoustics Mathematics
Zdroj:	International Journal for Numerical Methods in Engineering. 73:728-746
ISSN:	1097-0207 0029-5981
Popis:	For many problems in structural acoustics, it is desired to obtain solutions at many frequencies over a large range in the frequency domain. A reduced-order multifrequency algorithm based on matrix Pade approximation, using the matrix Pade-via-Lanczos (MPVL) connection, has been previously used to solve both exterior and interior acoustic problems. However, the method is not guaranteed to give the correct solution across the entire frequency region of interest, but only locally around a reference frequency. An adaptive frequency windowing scheme is introduced to address this shortcoming for practical application of this method. The application of this algorithm to tightly coupled problems in interior structural acoustics is presented.
Databáze:	OpenAIRE
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