Imperial College London
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Professor Norbert Hoffmann

Faculty of Engineering, Department of Mechanical Engineering

Visiting Professor
 
 
 
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Contact

 

n.hoffmann

 
 
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Location

 

557City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Papangelo:2017:10.1007/s11071-017-3779-4,
author = {Papangelo, A and Ciavarella, M and Hoffmann, N},
doi = {10.1007/s11071-017-3779-4},
journal = {Nonlinear Dynamics},
pages = {2037--2046},
title = {Subcritical bifurcation in a self-excited single-degree-of-freedom system with velocity weakening-strengthening friction law: analytical results and comparison with experiments},
url = {http://dx.doi.org/10.1007/s11071-017-3779-4},
volume = {90},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The dynamical behavior of a single-degree-of-freedom system that experiences friction-induced vibrations is studied with particular interest on the possibility of the so-called hard effect of a subcritical Hopf bifurcation, using a velocity weakening–strengthening friction law. The bifurcation diagram of the system is numerically evaluated using as bifurcation parameter the velocity of the belt. Analytical results are provided using standard linear stability analysis and nonlinear stability analysis to large perturbations. The former permits to identify the lowest belt velocity (vlw) at which the full sliding solution is stable, the latter allows to estimate a priori the highest belt velocity at which large amplitude stick–slip vibrations exist. Together the two boundaries [vlw,vup] define the range where two equilibrium solutions coexist, i.e., a stable full sliding solution and a stable stick–slip limit cycle. The model is used to fit recent experimental observations.
AU  - Papangelo,A
AU  - Ciavarella,M
AU  - Hoffmann,N
DO  - 10.1007/s11071-017-3779-4
EP  - 2046
PY  - 2017///
SN  - 0924-090X
SP  - 2037
TI  - Subcritical bifurcation in a self-excited single-degree-of-freedom system with velocity weakening-strengthening friction law: analytical results and comparison with experiments
T2  - Nonlinear Dynamics
UR  - http://dx.doi.org/10.1007/s11071-017-3779-4
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000413286700034&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/53970
VL  - 90
ER  -
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