𝔖 Bobbio Scriptorium
✦   LIBER   ✦

COMMENTS OF “FREE VIBRATIONS OF BEAMS WITH ELASTICALLY MOUNTED MASSES”

✍ Scribed by P.A.A. Laura

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
153 KB
Volume
187
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The present writer wishes to compliment the authors for their elegant solution to the problem of vibrating Bernoulli-Euler beams with an elastic support carrying elastically or rigidly attached masses [1].

The writer wishes to point out that free vibrations of Timoshenko beams carrying elastically mounted concentrated masses have been studied rather recently [2]. Frequency coefficients have been obtained for simply supported, clamped and simply supported, clamped boundary conditions. Exact solutions were obtained and in order to ascertain the validity and accuracy of the results obtained, an independent solution was obtained in some instances using a finite element code. The case of a Bernoulli-Euler system hinged at both ends was also studied by means a Dirac delta function representation of the spring-mass system. Excellent agreement was obtained for all of the situations considered.

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