Vibration of fixed-ended linear chains of discrete point-masses and tri-diagonal secular Determinants
✍ Scribed by O.R. Ainsworth; C.K. Liu; R.A. Mann
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 775 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
The properties of the secular determinants which arises in the study of harmonically coupled systems are further explored by extending the analysis to externally coupled systems. This treatment completes the modeling of such vibrating systems as long chains of point-masses with free or fixed ends. The results of the present and earlier analyses provide compact expressions for the normal frequencies of systems that in fact may be quite complex. The modeling of such vibrating systems in terms of known resonant frequencies and of the constan$ occum'ng in these expressions provides a new technique for the description of such systems.