๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Dynamic stability of a rotating Timoshenko beam with a flexible root

โœ Scribed by B.A.H. Abbas


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
351 KB
Volume
108
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis


The ettects of rotational speed and root flexibilities on the static buckling loads and on the regions of dynamic instability of a Timoshenko beam are investigated by finite element method. Due to the action of rotation, the buckling loads are increased and the beam becomes less sensitive to periodic excitation and due to the action of the rotational root flexibility, the buckling loads are diminished and the beam becomes more sensitive to periodic excitation. It is concluded also that the translational root flexibility has no effect on the static buckling loads and for small values of it the fundamental region of dynamic instability remains unchanged.


๐Ÿ“œ SIMILAR VOLUMES


Bending Frequency Of A Rotating Timoshen
โœ S.Y. Lee; Y.H. Kuo ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 256 KB

The upper bound of the fundamental bending frequency of a rotating uniform Timoshenko beam with general elastically restrained root is derived via Rayleigh's principle. Comparing the upper bound with the results in the existing literature and those obtained by the transfer matrix method reveals that

Dynamic boundary stabilization of a Reis
โœ Mariรฉ Grobbelaar-Van Dalsen ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 134 KB

## Abstract This paper is concerned with wellโ€posedness results for a mathematical model for the transversal vibrations of a twoโ€dimensional hybrid elastic structure consisting of a rectangular Reissnerโ€“Mindlin plate with a Timoshenko beam attached to its free edge. The model incorporates linear dy

VIBRATION ANALYSIS OF A ROTATING TIMOSHE
โœ S.C. LIN; K.M. HSIAO ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 263 KB

The governing equations for linear vibration of a rotating Timoshenko beam are derived by the d&Alembert principle and the virtual work principle. In order to capture all inertia e!ect and coupling between extensional and #exural deformation, the consistent linearization of the fully geometrically n

Transverse buckling of a rotating Timosh
โœ A. Nachman; W. D. Lakin ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Springer ๐ŸŒ English โš– 491 KB

This work considers a group of problems associated with rotating Timoshenko beams. The beam is not assumed to be hubclamped, i.e. the axis of rotation does not necessarily pass through the beam's clamped end. Cases of physical interest involving off-clamped beams include wobbling rotors, impellor bl

DYNAMIC STABILITY OF A FREE-FREE TIMOSHE
โœ J.-H. Kim; Y.-S. Choo ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

The dynamic stability of a free-free Timoshenko beam with a concentrated mass is analyzed when a pulsating follower force P 0 + P 1 cos Vt is applied. The discretized equation of motion is obtained by the finite element method, and then the method of multiple scales is adopted to investigate the dyn