FREE VIBRATION OF A TIMOSHENKO BEAM PARTIALLY LOADED WITH DISTRIBUTED MASS
β Scribed by K.T. Chan; X.Q. Wang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 243 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
Exact frequencies and mode shapes have been calculated for a Timoshenko beam, on different boundary supports and partially loaded with a distributed mass span. They agree with experimental data. For the higher modes, frequencies obtained through the Euler-Bernoulli theory are not as accurate as the Timoshenko ones. Results show the effects of the added mass length, position and density on natural frequencies. The variation is cyclical with range depending on the added mass inertia. For certain loading, the range of variation is small, showing frequency to be insensitive to added mass location.
π SIMILAR VOLUMES
The problem of free transverse vibrations of Timoshenko beams with attachments like translational and rotational springs, concentrated mass including the moment of inertia, linear undamped oscillators and additional supports is considered. The frequency equation for the combined system is derived by
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