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FUNDAMENTAL FREQUENCIES OF TIMOSHENKO BEAMS MOUNTED ON PASTERNAK FOUNDATION

✍ Scribed by M. EL-MOUSLY

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
112 KB
Volume
228
Category
Article
ISSN
0022-460X

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✦ Synopsis

Figure 1. (a) A freely vibrating Timoshenko beam mounted on Pasternak foundation. The foundation is modelled as an in"nite series of massless vertical springs of sti!ness k 5 per unit length, connected at top by a shearing layer of shearing sti!ness k . per unit length. (b) A small element of the beam of (a) showing forces and moments acting upon the element in their positive sense: f and m are the shearing force and the bending moment respectively.

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In a recent and comprehensive Letter to the Editor [1] approximate explicit formulae have been derived by El-Mously for the fundamental natural frequency for vibration of Timoshenko beams mounted on Pasternak foundation. It is the purpose of this note to mention other previous works in which the ap

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The transfer matrix method is used to investigate the influence of a Winkler elastic foundation on the non-conservative instability of uniform Timoshenko beams. It is found that the critical flutter load for a cantilever Timoshenko beam subjected to an end-concentrated or linearly distributed tangen

Dynamic stiffness of infinite Timoshenko
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✍ Yung-Hsiang Chen; Yen-Hui Huang πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 167 KB

The dynamic sti!ness matrix of an in"nite Timoshenko beam on viscoelastic foundation in the moving co-ordinate system travelling at a constant velocity is established in this paper. The dynamic sti!ness matrix is essentially a function of the velocity of a moving load applied to the beam system. Thi