A non-linear eigenvalue problem associated with inextensible whirling strings

Coomer J., Lazarus M., Tucker R., Kershaw D., Tegman A.

JOURNAL OF SOUND AND VIBRATION, cilt.239, sa.5, ss.969-982, 2001 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 239 Sayı: 5
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1006/jsvi.2000.3190
  • Dergi Adı: JOURNAL OF SOUND AND VIBRATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.969-982
  • Ankara Üniversitesi Adresli: Hayır

Özet

The motion of idealized inextensible strings is discussed. The equations of motion are analyzed for closed-loop configurations, free of body Forces and open hanging strings whirling under gravity. The latter give rise to an interesting non-linear eigenvalue problem describing a spectrum of whirling modes that is amenable to numerical investigation by using the shooting method for two-point boundary value problems. The spectrum is compared with that for small amplitude excitations in both fixed and rotating vertical plane through the suspension point. The results provide a useful theoretical background for an analysis of a laboratory exploration of whirling chains. (C) 2001 Academic Press.