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Quasi-harmonic friction induced vibration Ko, Pak Lim
Abstract
The behaviour of the quasi-harmonic type frictional oscillation for steel sliding surfaces was investigated both experimentally and theoretically. The kinetic coefficient of friction, which was expressed as a function of sliding velocity, was represented by a polynomial. The slowly varying amplitude and phase method of Kryloff and Bogoliuboff was used to solve the non-linear differential equation of motion. The calculations were carried out on the computer. The theoretical analysis suggests that the amplitude of the quasi-harmonic oscillation increases almost linearly as the driven surface velocity increases until a critical velocity is reached where the friction-velocity curve begins to flatten out. Beyond this point the oscillation diminishes to zero. Experiments were carried out mainly on unlubricated surfaces at driven surface velocities ranging from 0.5 in/sec to 25 in/sec. The results revealed that for short running distances frictional oscillation of the stick-slip type could occur. Frictional oscillation of the quasi-harmonic type existed in the system when negative slope appeared in the low velocity region of the friction-velocity curve after a run-in period. The growth and decay of the vibration amplitude with variation in driven surface velocity has been observed and this substantiates the findings of the theoretical analysis.
Item Metadata
Title |
Quasi-harmonic friction induced vibration
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1965
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Description |
The behaviour of the quasi-harmonic type frictional oscillation for steel sliding surfaces was investigated both experimentally and theoretically.
The kinetic coefficient of friction, which was expressed as a function of sliding velocity, was represented by a polynomial. The slowly varying amplitude and phase method of Kryloff and Bogoliuboff was used to solve the non-linear differential equation of motion. The calculations were carried out on the computer. The theoretical analysis suggests that the amplitude of the quasi-harmonic oscillation increases almost linearly as the driven surface velocity increases until a critical velocity is reached where the friction-velocity curve begins to flatten out. Beyond this point the oscillation diminishes to zero.
Experiments were carried out mainly on unlubricated surfaces at driven surface velocities ranging from 0.5 in/sec to 25 in/sec. The results revealed that for short running distances frictional oscillation of the stick-slip type could occur. Frictional oscillation of the quasi-harmonic type existed in the system when negative slope appeared in the low velocity region of the friction-velocity curve after a run-in period. The growth and decay of the vibration amplitude with variation in driven surface velocity has been observed and this substantiates the findings of the theoretical analysis.
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Genre | |
Type | |
Language |
eng
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Date Available |
2011-09-22
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0093724
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URI | |
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Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.