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ON THE EIGENFREQUENCIES OF A CANTILEVER BEAM WITH ATTACHED TIP MASS AND A SPRING-MASS SYSTEM

✍ Scribed by M. Gürgöze

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
431 KB
Volume
190
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper deals with the derivation of the frequency equation of a special combined dynamic system. It consists of a clamped-free Bernoulli-Euler beam with a tip mass where a spring-mass system is attached to it. The derivation of the frequency equation is essentially carried out by means of the Lagrange multipliers method. Frequency equations of some simpler systems are also obtained from the general expression by using limiting processes. These equations are then numerically solved for various combinations of physical parameters. The comparison with the results from the solution of the corresponding Bernoulli-Euler frequency equations shows that the frequency equations established are very accurate.

📜 SIMILAR VOLUMES

ON THE EIGENFREQUENCIES OF LONGITUDINALL
ON THE EIGENFREQUENCIES OF LONGITUDINALLY VIBRATING RODS CARRYING A TIP MASS AND SPRING–MASS IN-SPAN
✍ M. Gürgöze 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 211 KB

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