Dynamic Stability Analysis of Beams with Shear Deformation and Rotary Inertia Subjected to Periodic Axial Forces by Using Discrete Singular Convolution Method

2016 ◽  
Vol 142 (3) ◽  
pp. 04015099 ◽  
Author(s):  
Zhiwei Song ◽  
Zhigang Chen ◽  
Wei Li ◽  
Yingbin Chai
Keyword(s):  
Stability Analysis ◽  
Shear Deformation ◽  
Dynamic Stability ◽  
Rotary Inertia ◽  
Axial Forces ◽  
Discrete Singular Convolution ◽  
Convolution Method

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 Elastic Mechanisms

1979 ◽  
Vol 101 (1) ◽  
pp. 149-153 ◽  
Author(s):  
M. Badlani ◽  
W. Kleinhenz
Keyword(s):  
Shear Deformation ◽  
Dynamic Stability ◽  
Timoshenko Beam ◽  
Rotary Inertia ◽  
Connecting Rod ◽  
Crank Mechanism ◽  
Beam Theories

A study of the dynamic stability of a slider-crank mechanism with an undamped elastic connecting rod is presented using the Euler-Bernoulli and Timoshenko beam theories. It is shown that new regions of instability exist when rotary inertia and shear deformation effects are included in the analysis.

Dynamic Stability Analysis and Control of Power System Based on Nyquist Array Theory

2020 ◽  
Author(s):  
Shiyun Xu ◽  
Huadong Sun ◽  
Shihui Fang ◽  
Jingtian Bi ◽  
Jun Yi ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Power System ◽  
Dynamic Stability ◽  
And Control

Dynamic Stability Analysis by Matrix Function

1987 ◽  
Vol 113 (7) ◽  
pp. 1085-1100 ◽  
Author(s):  
Tsunemi Shigematsu ◽  
Takashi Hara ◽  
Mitao Ohga
Keyword(s):  
Stability Analysis ◽  
Dynamic Stability ◽  
Matrix Function

Dynamic stability analysis of an industrial power system

1995 ◽  
Vol 31 (4) ◽  
pp. 675-681 ◽  
Author(s):  
Wei-Jen Lee ◽  
Mo-Shing Chen ◽  
Jae-Hyeon Gim ◽  
K. Yoshimura ◽  
Shih-Ping Wang
Keyword(s):  
Stability Analysis ◽  
Power System ◽  
Dynamic Stability
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