Analytical selection of masters for the reduced eigenvalue problem
作者:
V. N. Shah,
M. Raymund,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1982)
卷期:
Volume 18,
issue 1
页码: 89-98
ISSN:0029-5981
年代: 1982
DOI:10.1002/nme.1620180108
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractMasters are defined as the degrees‐of‐freedom that are retained in the reduced eigenvalue problem. Various qualitative guidelines to select masters are published in the literature, but it is difficult to apply them to complex structures. In this paper a computational algorithm to select masters for complex structures is presented. This algorithm is based on a guideline14which assures that the associated Guyan reduction process is valid. This algorithm eliminates one degree‐of‐freedom at a time satisfying the guideline, and preserves lower frequencies in the reduced eigenvalue problem. The algorithm presented in this paper is used to select masters for four different structural models. The natural frequencies of the associated reduced eigenvalue problems are calculated and compared with those calculated from the full eigenvalue p
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