Inverse iteration for damped natural vibration
Author(s)
Date Issued
1987
Publisher
Elsevier
Journal
Journal of Sound and Vibration
Volume
118
Issue
2
Start page
193
End page
198
Abstract
Inverse iteration is extended to internally and/or externally damped natural vibration. Each iteration involves one matrix multiplication and one linear equation solution of order n. The symmetric band form of the original undamped eigenvalue problem is preserved. If the undamped mode is taken as the first approximation, the inverse iteration will converse to the corresponding damped mode in about four iterations. However, the one step method is divergent for heavy damping. Therefore, it is advisible to subdivide the damping into successive steps if inverse iteration does not converge in say five iterations. The method is successful for both discrete systems and distributed systems. The implementation is very simple by means of complex arithmetic which is readily available in many FORTRAN compilers.
SFU Affiliated Publication
No
Availability at SFU Library
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