DOI QR코드

DOI QR Code

Dynamic stiffness matrix method for axially moving micro-beam

  • 투고 : 2012.10.08
  • 심사 : 2012.12.05
  • 발행 : 2012.12.25

초록

In this paper the dynamic stiffness matrix method was used for the free vibration analysis of axially moving micro beam with constant velocity. The extended Hamilton's principle was employed to derive the governing differential equation of the problem using the modified couple stress theory. The dynamic stiffness matrix of the moving micro beam was evaluated using appropriate expressions of the shear force and bending moment according to the Euler-Bernoulli beam theory. The effects of the beam size and axial velocity on the dynamic characteristic of the moving beam were investigated. The natural frequencies and critical velocity of the axially moving micro beam were also computed for two different end conditions.

키워드

참고문헌

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피인용 문헌

  1. Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium vol.18, pp.6, 2016, https://doi.org/10.12989/sss.2016.18.6.1125
  2. Size-Dependent Vibration of Axially Moving Viscoelastic Micro-Plates Based on Sinusoidal Shear Deformation Theory vol.09, pp.02, 2017, https://doi.org/10.1142/S1758825117500260