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GREEN'S FUNCTIONS FOR UNIFORM TIMOSHENKO BEAMS

✍ Scribed by G.G.G. Lueschen; L.A. Bergman; D.M. McFarland

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
377 KB
Volume
194
Category
Article
ISSN
0022-460X

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✦ Synopsis

The vibration and control of distributed parameter systems is a topic of ongoing interest. The availability of closed form expressions for the Green's functions (or, equivalently, transfer functions) of individual elements facilitates the analysis of these systems. In this paper, a concise formulation is given for the Green's functions of uniform Timoshenko beams. It is shown that Green's functions for uniform Euler-Bernoulli beams, both with and without constant axial loads, can be expressed in the same form.

πŸ“œ SIMILAR VOLUMES

Vibrations of elastically restrained non
Vibrations of elastically restrained non-uniform timoshenko beams
✍ S.Y. Lee; S.M. Lin πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 495 KB

The free vibration of an elastically restrained symmetric non-uniform Timoshenko beam resting on a non-uniform elastic foundation and subjected to an axial load is studied. The two coupled governing characteristic differential equations are reduced into two separate fourth order ordinary differentia

FREE VIBRATIONS OF UNIFORM TIMOSHENKO BE
FREE VIBRATIONS OF UNIFORM TIMOSHENKO BEAMS WITH ATTACHMENTS
✍ B. PosiadaΕ‚a πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 226 KB

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