HOW MANY MODES ARE ACCEPTABLE AND HOW DO PEOPLE IMPROVE THE MODES?
✍ Scribed by J.S. JIANG; W.H. TONG
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 128 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, an e!ective judgement and improvement regarding the truncation errors of the modal synthesis method are put forward. The truncation errors estimated are considered as &&error forces'' and their reasonable bound is de"ned to determine the number of acceptable modes. The initial eigenvalues and eigenvectors can be calculated from the modal synthesis method. The renewed eigenvalues are obtained from Rayleigh quotient and the renewed eigenvectors are obtained from an equation, which is essentially the expression for &&error forces''. Then the renewed eigenvectors are put into Rayleigh quotient again as an iterative process until the permitted &&error forces'' or de"nite errors of eigenvalues are reached. As a result, the proposed approach is called an &&error force vector method''. Obviously, the process is also an accuracy improvement for eigenpair updating.