FREE VIBRATION ANALYSIS OF NON-UNIFORM TIMOSHENKO BEAMS USING DIFFERENTIAL TRANSFORM
1998 ◽
Vol 22
(3)
◽
pp. 231-250
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Keyword(s):
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.
2016 ◽
Vol 107
◽
pp. 93-109
◽
2006 ◽
Vol 78
(3)
◽
pp. 194-203
◽
2010 ◽
Vol 52
(12)
◽
pp. 1597-1604
◽
2007 ◽
Vol 301
(3-5)
◽
pp. 878-897
◽
Keyword(s):
Keyword(s):