AU - Raeisi, Mohammad
AU - Ariaei, Alireza
TI - Free vibration analysis of cracked rotating multi-span Timoshenko beams using differential transform method
PT - JOURNAL ARTICLE
TA - mdrsjrns
JN - mdrsjrns
VO - 15
VI - 10
IP - 10
4099 - http://mme.modares.ac.ir/article-15-8670-en.html
4100 - http://mme.modares.ac.ir/article-15-8670-en.pdf
SO - mdrsjrns 10
ABĀ - Free vibration analysis of a cracked rotating multi-span Timoshenko beam is studied in this article to determine the natural frequencies and mode shapes of this beam. First, the relationships between each two segments are obtained by considering the compatibility requirements in the frame angles and in the cracks. To determine the transformed compatibility requirements, the boundary conditions, and the vibrational equations, the so-called differential transform method (DTM) is used. Then, these equations are performed to determine the natural frequencies. The mode shapes of the beam are determined by using the inverse of differential transform method. The results have been validated against those obtained from Abaqus software for a rotating multi-span beam and the ones obtained from transfer matrix method for a non-rotating case that an appropriate agreement is observed. Finally, the effects of the angle of break, the rotational speed, and the crack location on the natural frequencies are investigated. It is shown that the natural frequencies will be increased by increasing the rotational speed. Also, it is seen that the first natural frequency will be increased by moving the crack location from the cantilever support to free support and the variations of other frequencies are dependent to the crack distance to the vibrational nodes. The validation results show the accuracy of DTM in the process of studying the free vibration of this problem.
CP - IRAN
IN - Isfahan
LG - eng
PB - mdrsjrns
PG - 173
PT -
YR - 2016