Dynamic stability of a rotating Timoshenko beam with a flexible root

1986 ◽  
Vol 108 (1) ◽  
pp. 25-32 ◽  
Author(s):  
B.A.H. Abbas
Keyword(s):  
Dynamic Stability ◽  
Timoshenko Beam ◽  
Rotating Timoshenko Beam

scholarly journals Motion planning and boundary control for a rotating Timoshenko beam

PAMM ◽  
2003 ◽  
Vol 2 (1) ◽  
pp. 106-107 ◽  
Author(s):  
Frank Woittennek ◽  
Joachim Rudolph
Keyword(s):  
Motion Planning ◽  
Boundary Control ◽  
Timoshenko Beam ◽  
Rotating Timoshenko Beam

Dynamic Stability of Timoshenko Beams by Finite Element Method

1976 ◽  
Vol 98 (4) ◽  
pp. 1145-1149 ◽  
Author(s):  
J. Thomas ◽  
B. A. H. Abbas
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Shear Deformation ◽  
Dynamic Stability ◽  
Timoshenko Beam ◽  
Dynamic Instability ◽  
Rotary Inertia ◽  
Timoshenko Beams ◽  
Buckling Loads

A Finite Element model is developed for the stability analysis of Timoshenko beam subjected to periodic axial loads. The effect of the shear deformation on the static buckling loads is studied by finite element method. The results obtained show excellent agreement with those obtained by other analytical methods for the first three buckling loads. The effect of shear deformation and for the first time the effect of rotary inertia on the regions of dynamic instability are investigated. The elastic stiffness, geometric stiffness, and inertia matrices are developed and presented in this paper for a Timoshenko beam. The matrix equation for the dynamic stability analysis is derived and solved for hinged-hinged and cantilevered Timoshenko beams and the results are presented. Values of critical loads for beams with various shear parameters are presented in a graphical form. First four regions of dynamic instability for different values of rotary inertia parameters are presented. As the rotary inertia parameter increases the regions of instability get closer to each other and the width of the regions increases thus making the beam more sensitive to periodic forces.

Dynamic stability of axially accelerating Timoshenko beam: Averaging method

2010 ◽  
Vol 29 (1) ◽  
pp. 81-90 ◽  
Author(s):  
Xiao-Dong Yang ◽  
You-Qi Tang ◽  
Li-Qun Chen ◽  
C.W. Lim
Keyword(s):  
Dynamic Stability ◽  
Timoshenko Beam ◽  
Averaging Method
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