Rotation of a slender particle in a shear flow: influence of the rotary inertia and stability analysis

2009 ◽  
Vol 89 (10) ◽  
pp. 823-832 ◽  
Author(s):  
H. Altenbach ◽  
I. Brigadnov ◽  
K. Naumenko
Keyword(s):  
Stability Analysis ◽  
Shear Flow ◽  
Rotary Inertia

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.

Linear stability analysis of the reacting shear flow

2006 ◽  
Vol 20 (8) ◽  
pp. 1309-1320 ◽  
Author(s):  
Yang Na ◽  
Seungbae Lee ◽  
Dongshin Shin
Keyword(s):  
Stability Analysis ◽  
Shear Flow ◽  
Linear Stability ◽  
Linear Stability Analysis

Shear-flow stability within the atmosphere of Venus

1974 ◽  
Vol 66 (2) ◽  
pp. 267-272 ◽  
Author(s):  
R. D. Cess ◽  
Harshvardhan
Keyword(s):  
Stability Analysis ◽  
Radiative Transfer ◽  
Shear Flow ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Flow Instability ◽  
Flow Stability ◽  
Shear Flow Instability ◽  
Realistic Formulation ◽  
Atmosphere Of Venus

Employing a linear stability analysis, Dudis (1973) has recently suggested that shear-flow instability might exist within the upper stratosphere of Venus owing to destabilization by radiative transfer. We have incorporated a more realistic formulation for radiative transfer into his stability analysis and conclude that such an instability is unlikely.

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