The problem of free transverse vibrations of beams with many elastically mounted masses is considered. Closed form expressions of the equations for the natural frequencies are obtained by means of the Green function method. The solution contains all possible combinations of classical end conditions
Free vibrations of elastically connected stretched beams
β Scribed by S. Graham Kelly; Shirish Srinivas
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 223 KB
- Volume
- 326
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
An exact solution of the title problem is presented. The overall situation is of great interest in many engineering applications. Three combinations of boundary conditions for the structural element are considered: simply supported, simply supported - clamped and clamped at both ends. An analysis of
In this paper, the free vibration analysis of two parallel simply supported beams continuously joined by a Winkler elastic layer is presented. The motion of the system is described by a homogeneous set of two partial di!erential equations, which is solved by using the classical Bernoulli}Fourier met