A study of friction induced vibration
department or school: Applied Science, Faculty of
department or school: Mechanical Engineering, Department of
data provider: DSpace
degree campus: UBCV
creator: Potter, Allan Freer
issued: 2011-12-09T23:01:56Z
issued: 1962
related degree: Master of Applied Science - MASc
degree grantor: University of British Columbia
description: Frictional vibrations, which occur when two solid bodies are rubbed together, are analyzed mathematically and observed experimentally. In the mathematical analysis, the non-linear differential equation of motion during the slip period is derived making use of the experimental friction-velocity curve. A qualitative graphical solution of this differential equation of motion is presented to illustrate the general form and behavior of the motion. The experimental friction-velocity curve is then linearized allowing the differential equation of motion to undergo standard analytical solution. The experimental investigations were carried out using unlubricated steel surfaces and six different supporting systems. The experiments were confined to sliding in the negative slope region of the friction curve for the particular surfaces used. The effects of load, stiffness and velocity of the translating surface are considered and the results suggest that the decay of the vibrations, as the speed of the moving surface is increased, corresponds in form to the friction-velocity curve for the surfaces used. Using the original analytical relationship describing the shape of the negative slope region of the friction curve, the theoretical results are altered accordingly. Good correlation is obtained between the analytical results and the experimental observations.
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/39624
note: A STUDY OF FRICTION INDUCED VIBRATION by ALLAN FREER POTTER B.Sc. University of Manitoba, 1958 A THESIS SUBMITTED IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF APPLIED SCIENCE in the Department of MECHANICAL ENGINEERING We accept this thesis as conforming to the required standard THE UNIVERSITY OF BRITISH COLUMBIA May, 1962 - i i -In presenting this thesis i n pa r t i a l fulfilment of the requirements for an advanced degree at the University of B r i t i s h Columbia, I agree that the Library shall make i t freely available for reference and study, I further agree that permission for extensive copying of this thesis for scholarly purposes may be granted by the Head of my Department or by his representatives. It i s understood that copying or publication of this thesis for financial gain shall not be allowed without my written permission. Department of Mechanical Engineering, The University of British Columbia, Vancouver 8, Canada. Date: l a y , 1962. - i i i -ABSTRACT F r i c t i o n a l v i b r a t i o n s , w h i c h occur when two s o l i d b o d i e s are rubbed t o g e t h e r , are a n a l y z e d m a t h e m a t i c a l l y and observed e x p e r i m e n t a l l y . I n the mathemat ica l a n a l y s i s , the n o n - l i n e a r d i f f e r e n t i a l e q u a t i o n o f mot ion d u r i n g the s l i p p e r i o d i s d e r i v e d making use o f the e x p e r i m e n t a l f r i c t i o n -v e l o c i t y c u r v e . A q u a l i t a t i v e g r a p h i c a l s o l u t i o n o f t h i s d i f f e r e n t i a l e q u a t i o n o f motion i s p r e s e n t e d t o i l l u s t r a t e t h e g e n e r a l form and b e h a v i o r o f the m o t i o n . The e x p e r i m e n t a l f r i c t i o n - v e l o c i t y curve i s t h e n l i n e a r i z e d a l l o w i n g t h e d i f f e r e n t i a l e q u a t i o n o f motion t o undergo s t a n d a r d a n a l y t i c a l s o l u t i o n . The e x p e r i m e n t a l i n v e s t i g a t i …
has type: Thesis/Dissertation
is shown at: 10.14288/1.0105947
language: eng
degree discipline: Mechanical Engineering
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
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.
scholar level: Graduate
type: Text
identifier URI: http://hdl.handle.net/2429/39624