Linear time-varying (LTV) systems have been often dealt with on a case-by-case basis. Many well-developed concepts and analytic methods of linear time-invariant (LTI) systems cannot be applied to LTV systems. For example, the conventional de"nition of modal parameters is invalid for LTV systems. The
ADAPTATION OF THE CONCEPT OF MODAL ANALYSIS TO TIME-VARYING STRUCTURES
β Scribed by K. LIU; M.R. KUJATH
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 149 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0888-3270
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β¦ Synopsis
The elegance and global character of modal analysis make it very attractive for adaptation to time-varying systems. Most of the concepts of modal analysis are well established in literature and widely understood for linear time-invariant systems. This paper discusses an adaptation of modal analysis concepts to time-varying systems. A typical contemporary example of a time-varying system is a #exible space manipulator or a recon"guring space structure. An approximation of a time-varying transfer function is introduced by making assumptions about its variability. This approximate transfer function is referred to as a pseudo-transfer function. The modal parameters associated with the pseudo-transfer function are referred to as the pseudo-modal parameters. This paper discusses the validity and the extent of applicability of pseudo-modal parameters.
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