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Numerical analysis for the stick-slip vibration of a transversely moving beam in contact with a frictional wall

Title
Numerical analysis for the stick-slip vibration of a transversely moving beam in contact with a frictional wall
Author
정진태
Keywords
Stick-slip vibration; Transversely moving beam; Finite element method; Friction force discontinuity; High-frequency numerical dissipation; DYNAMICS; SYSTEM; OSCILLATIONS; DRILLSTRINGS; MODEL
Issue Date
2018-04
Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
Citation
JOURNAL OF SOUND AND VIBRATION, v. 419, Page. 42-62
Abstract
This paper presents a numerical analysis for the stick-slip vibration of a transversely moving beam, considering both stick-slip transition and friction force discontinuity. The dynamic state of the beam was separated into the stick state and the slip state, and boundary conditions were defined for both. By applying the finite element method, two matrix-vector equations were derived: one for stick state and the other for slip state. However, the equations have different degrees of freedom depending on whether the end of a beam sticks or slips, so we encountered difficulties in time integration. To overcome the difficulties, we proposed a new numerical technique to alternatively use the matrix-vector equations with different matrix sizes. In addition, to eliminate spurious high-frequency responses, we applied the generalized-a time integration method with appropriate value of high-frequency numerical dissipation. Finally, the dynamic responses of stick-slip vibration were analyzed in time and frequency domains: the dynamic behavior of the beam was explained to facilitate understanding of the stick-slip motion, and frequency characteristics of the stick-slip vibration were investigated in relation to the natural frequencies of the beam. The effects of the axial load and the moving speed upon the dynamic response were also examined.
URI
https://www.sciencedirect.com/science/article/pii/S0022460X17308969http://repository.hanyang.ac.kr/handle/20.500.11754/81025
ISSN
1095-8568; 0022-460X
DOI
10.1016/j.jsv.2017.12.037
Appears in Collections:
COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > MECHANICAL ENGINEERING(기계공학과) > Articles
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