In this paper, an analytic solution for free and forced vibrations of stepped Timoshenko beams is presented and used for the approximate analysis of generally non-uniform Timoshenko beams. In the case of free vibrations, the frequency equation is expressed in terms of some initial parameters at one
Vibration And Stability Analysis Of Timoshenko Beams With Discontinuities In Cross-Section
โ Scribed by S.H. Farghaly
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 445 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An analytical method for determining natural frequencies and mode shapes of the torsional vibration of continuous beams with thin-walled cross-section is developed by using a general solution of the di!erential equation of motion based on Vlasov's beam theory. This method takes into account the e!ec
An asymptotic analysis is carried out for the equations of free vibrations of a beam having varying curvature and cross-section. The effect of splitting the asymptotic limit for eigenvalues into two families is revealed and its connection with boundary conditions is discussed. The analysis of the pr
It is well-known that the Timoshenko quotient always gives better results than the corresponding Rayleigh quotient, but its implementation is not straightforward, at least for non-uniform redundant beams. Quite recently a modified approach has been proposed [1], in which the main difficulty is overc