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Iterative improvement of eigensolutions from reduced matrices

✍ Scribed by Sauer, G.

Publisher
Wiley (John Wiley & Sons)
Year
1989
Tongue
English
Weight
337 KB
Volume
5
Category
Article
ISSN
0748-8025

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✦ Synopsis

The Guyan method to reduce stiffness and mass matrices of linear structures is widely used in engineering practice. However, it introduces errors in the reduced mass matrix, and the eigensolutions based on this matrix are reliable only for the lowest modes. Additionally a certain skill is required to select appropriate analysis co-ordinates. But the eigensolutions from the reduced matrices can easily be improved by a straightforward iteration procedure. This procedure is presented. The achievable improvements in accuracy are demonstrated by an example.

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