On the vibration and stability of spinning axially loaded pre-twisted Timoshenko beams

2010 ◽  
Vol 46 (11) ◽  
pp. 1037-1047 ◽  
Author(s):  
Wei-Ren Chen
Keyword(s):  
Timoshenko Beams ◽  
Axially Loaded

Non-Dimensional Vibration of Timoshenko Beams with Axial Loads

2011 ◽  
Vol 368-373 ◽  
pp. 1577-1582
Author(s):  
Yi Zhang ◽  
Li Chen ◽  
Guo Liang Cheng ◽  
Qing Hua Li
Keyword(s):  
Mass Matrix ◽  
Separation Of Variables ◽  
Beam Theory ◽  
Mode Shapes ◽  
Timoshenko Beams ◽  
Axial Loads ◽  
Load Vector ◽  
Equivalent Mass ◽  
Axially Loaded ◽  
Equivalent Load

The paper is supposed to establish a non-dimensional approach to analyze the free vibration of axially loaded beams with different kinds of boundary conditions, based on the Timoshenko’s beam theory and the method of separation of variables. When the mode-shapes and frequencies are known, it is convenient to get the equivalent load vector, equivalent mass matrix and the frequencies matrix, then, the characteristics of vibration of axially loaded beams will be obtained by the approach. The results and conclusions were also helpful to the anti-blast analysis of columns

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