On the eigenfrequencies of longitudinally vibrating rods carrying a tip mass and spring-mass in-span

Gurgoze M.

JOURNAL OF SOUND AND VIBRATION, cilt.216, ss.295-308, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 216 Konu: 2
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1006/jsvi.1998.1696
  • Sayfa Sayıları: ss.295-308


The present paper is concerned with the determination of the frequency equation and sensitivity of the eigenfrequencies of a fixed-free longitudinally vibrating rod carrying a tip mass to which a spring-mass system is attached in-span. First, the exact frequency equation is established, and then an approximate formula is given for the fundamental frequency, based on Dunkerley's procedure. Moreover, using the normal mode method, a second approximate but very accurate frequency equation is established with the help of which a sensitivity formula is derived later. Frequency equations of some simpler systems are also obtained from the general expressions by using limiting processes. These novel equations can be very useful for a design engineer who is interested in the eigencharacteristics of similar systems, and their sensitivity. (C) 1998 Academic Press.