FREE VIBRATION ANALYSIS OF CRACKED ROTATING MULTI-SPAN TIMOSHENKO BEAMS USING DIFFERENTIAL TRANSFORM METHOD

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RAEISI MOHAMMAD; ARIAEI ALI REZA

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: Modares Mechanical Engineering Year:2016 | Volume:15 | Issue:10 Page(s): 173-182

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Information Journal Paper

Title

FREE VIBRATION ANALYSIS OF CRACKED ROTATING MULTI-SPAN TIMOSHENKO BEAMS USING DIFFERENTIAL TRANSFORM METHOD

Author(s)

RAEISI MOHAMMAD | ARIAEI ALI REZA | Issue Writer Certificate

Keywords

ROTATING MULTI-SPAM BEAMQ2

TIMOSHENKO BEAMQ2

DIFFERENTIAL TRANSFORM METHODQ2

NATURAL FREQUENCYQ2

MODE SHAPEQ2

Abstract

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 multispan beam and the ones obtained from transfer matrix method for a non-rotating case in which 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 on 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.

Cites

NONLINEAR IDENTIFICATION OF CANTILEVER BEAM USING FREE VIBRATION RESPONSE DECAY AND SOLVING WITH DIFFERENTIAL TRANSFORM METHOD

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APA: Copy

RAEISI, MOHAMMAD, & ARIAEI, ALI REZA. (2016). FREE VIBRATION ANALYSIS OF CRACKED ROTATING MULTI-SPAN TIMOSHENKO BEAMS USING DIFFERENTIAL TRANSFORM METHOD. MODARES MECHANICAL ENGINEERING, 15(10), 173-182. SID. https://sid.ir/paper/179638/en

Vancouver: Copy

RAEISI MOHAMMAD, ARIAEI ALI REZA. FREE VIBRATION ANALYSIS OF CRACKED ROTATING MULTI-SPAN TIMOSHENKO BEAMS USING DIFFERENTIAL TRANSFORM METHOD. MODARES MECHANICAL ENGINEERING[Internet]. 2016;15(10):173-182. Available from: https://sid.ir/paper/179638/en

IEEE: Copy

MOHAMMAD RAEISI, and ALI REZA ARIAEI, “FREE VIBRATION ANALYSIS OF CRACKED ROTATING MULTI-SPAN TIMOSHENKO BEAMS USING DIFFERENTIAL TRANSFORM METHOD,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 10, pp. 173–182, 2016, [Online]. Available: https://sid.ir/paper/179638/en

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