Chinese Journal of Theoretical and Applied Mechani ›› 1994, Vol. 26 ›› Issue (4): 424-431.DOI: 10.6052/0459-1879-1994-4-1995-564

• Research paper • Previous Articles     Next Articles

THE CONCEPT OF PRINCIPAL MODE SHAPES AND THE MEASURES OF CONTROLLABILITY AND OBSERVABILITY FOR MODE SHAPES WITH REPEATED FREQUENCIES

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  1. 吉林工业大学力学系
  • Received:1900-01-01 Revised:1900-01-01 Online:1994-07-25 Published:1994-07-25

Abstract: This paper studies how to measure the controllability and observability ofvibration mode shapes with repeated frequencies and how to show clearly the structure of thesubspace consisting of these mode shapes with repeated frequencies in terms of controllabilityand observability. Using singular value decomposition technique,a new set of mode shapesassociated with this repeated frequency and the corresponding singular values has beenfound out.This new set of mode shapes, called the principal mode shapes,can c...

Key words: vibration control, controllability and observability, mode shapes withrepeated frequencies, large space structures