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A direct approach to second-order matrix non-classical vibrating equations

✍ Scribed by Julio Ruiz Claeyssen; Germán Canahualpa; Claudio Jung

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
99 KB
Volume
30
Category
Article
ISSN
0168-9274

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✦ Synopsis

A direct framework is developed for second-order matrix equations without transforming them into a first-order companion equation. It is done in terms of its matrix impulse response that is directly related to the transfer matrix. We formulate an extension of the Cayley-Hamilton identity, derive the controllability and observability matrices, and discuss Krylov's method in terms of such matrix response. This formulation will allow to further discuss Arnoldi and Lanczos methods as well as time-integration by FFT.

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