Analytical test functions for free vibration analysis of rotating non-homogeneous Timoshenko beams

Meccanica ◽  
2014 ◽  
Vol 49 (6) ◽  
pp. 1469-1477 ◽  
Author(s):  
Korak Sarkar ◽  
Ranjan Ganguli
1998 ◽  
Vol 22 (3) ◽  
pp. 231-250 ◽  
Author(s):  
Cha’o Kuang Chen ◽  
Shing Huei Ho

This study introduces using differential transform to solve the free vibration problems of a general elastically end restrained non-uniform Timoshenko beam. First, differential transform is briefly introduced. Second, taking differential transform of a non-uniform Timoshenko beam vibration problem, a set of difference equations is derived. Doing some simple algebraic operations on these equations, we can determine any i-th natural frequency, the closed form series solution of any i-th normalized mode shape. Finally, three examples are given to illustrate the accuracy and efficiency of the present method.


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