Lateral Vibration Analysis of Axially Moving Beams

TIAN Yaozong; JIAN Kailin

doi:10.21656/1000-0887.400082

Volume 40 Issue 10

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TIAN Yaozong, JIAN Kailin. Lateral Vibration Analysis of Axially Moving Beams[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1081-1088. doi: 10.21656/1000-0887.400082

Citation:

TIAN Yaozong, JIAN Kailin. Lateral Vibration Analysis of Axially Moving Beams[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1081-1088. doi: 10.21656/1000-0887.400082

Citation:

TIAN Yaozong, JIAN Kailin. Lateral Vibration Analysis of Axially Moving Beams[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1081-1088. doi: 10.21656/1000-0887.400082

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Lateral Vibration Analysis of Axially Moving Beams

doi: 10.21656/1000-0887.400082

College of Aerospace, Chongqing University, Chongqing 400044, P.R.China

Received Date: 2019-03-01
Rev Recd Date: 2019-03-20
Publish Date: 2019-10-01

Abstract

Abstract

The problem of lateral vibration of axially moving beams and the method for studying lateral vibration of axially moving beams were discussed. Some errors in the previous research of lateral vibration of axially moving beams were pointed out and corrected. For the axially moving cantilever beam with one end in fixed boundary condition, the calculation formula for the dynamic responses of the beam with self-weight effects was derived based on the modal superposition method for the continuum. The calculation was carried out and the calculation results were discussed in detail. The results show that, the factors that influence the vibration responses of the axially moving beam mainly include the speed and the direction of motion.
- cantilever beam,
- axial movement,
- response,
- instability

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References(15)

References

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