Chaos caused by non-reversible dry friction

Stefański, Andrzej; Wojewoda, Jerzy; Wiercigroch, Marian; Kapitaniak, Tomasz

doi:10.1016/s0960-0779(02)00451-4

Cited by 33 publications

(24 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Another example of a similar approach was given by McMillan (1997). Stefański et al (2003) also suggested a friction model where the current value of relative acceleration should be used. This model was elaborated on the basis of non-reversible friction characteristic (equations (3.2) and (3.8)).…”

Section: Review Of Friction Modelsmentioning

confidence: 99%

Hysteretic effects of dry friction: modelling and experimental studies

Wojewoda

Stefański

Wiercigroch

et al. 2007

Phil. Trans. R. Soc. A.

Self Cite

176

View full text Add to dashboard Cite

In this paper, the phenomena of hysteretic behaviour of friction force observed during experiments are discussed. On the basis of experimental and theoretical analyses, we argue that such behaviour can be considered as a representation of the system dynamics. According to this approach, a classification of friction models, with respect to their sensitivity on the system motion characteristic, is introduced. General friction modelling of the phenomena accompanying dry friction and a simple yet effective approach to capture the hysteretic effect are proposed. Finally, the experimental results are compared with the numerical simulations for the proposed friction model.

show abstract

Section: Review Of Friction Modelsmentioning

confidence: 99%

Hysteretic effects of dry friction: modelling and experimental studies

Wojewoda

Stefański

Wiercigroch

et al. 2007

Phil. Trans. R. Soc. A.

Self Cite

176

View full text Add to dashboard Cite

show abstract

“…They are typical examples of insensitive friction models. On the other hand, the last one to be investigated is an example of the dynamics sensitive approach [33], which has been formulated on the basics of non-reversible friction characteristic [28].…”

Section: Friction Modelsmentioning

confidence: 99%

Estimation of Lyapunov exponents for a system with sensitive friction model

et al. 2009

Self Cite

View full text Add to dashboard Cite

Mathematical modelling and numerical analysis of a vibrating system with dry friction is presented. Three qualitatively different friction characteristics are considered. One of them is an example of so-called sensitive friction characteristic. Their influence on the dynamics on the attractor of the friction oscillator is investigated through bifurcational analysis. This analysis is supported by Lyapunov exponents estimated using approach for the systems with discontinuities. Theoretical background for such a synchronisation-based method of determining the largest Lyapunov exponent is explained. The results obtained through the proposed approach approximate the LLE with a good precision.

show abstract

“…Other recent experimental researches on friction phenomenon carried out by Stefañski et al [20,21] have led to the hypothesis that temporary value of dynamic friction force is not only a function of relative velocity, but it also depends on the value (not only the sign as in classical non-reversible model) of the relative acceleration.…”

Section: A New Non-reversible Sliding Friction Modelmentioning

confidence: 99%

“…Powell and Wiercigroch [18] and Wiercigroch [19] proposed a non-reversible friction model by defining two different branches to describe deceleration and acceleration states, respectively. Recently Stefañski et al [20][21][22] did some experimental and analytical research about the dynamical behaviors of friction force. Some of their results from the experimental rig confirmed the existence of non-reversible friction characteristics, and, additionally state another thesis-friction depends not only on the sign of acceleration but also on its value [21], and proposed a friction model on the basis of a symmetrical non-reversible friction characteristic.…”

mentioning

confidence: 99%

Non-reversible friction modeling and identification

Guo

Zhang

et al. 2008

Arch Appl Mech

View full text Add to dashboard Cite

In this paper, based on experimental results, a new non-reversible friction model is proposed. The model has the capability to include both hysteresis in the presliding regime and velocity hysteresis (frictional memory effect or frictional lag) in the sliding regime. In this model, a differential function, which varies between −1 and +1 and has the characters of the Bouc-Wen model, is used to take the place of a sign function. This solution smoothes the transition from presliding to sliding and the hysteresis in the presliding regime can be described. In the sliding regime, this model has the form of a combination of a general velocity-dependent model with another acceleration-dependent part. This form allows a good description of velocity hysteresis in the sliding regime. The parameter identification procedure for this new model is also presented in this paper. The simulation results show the practicability and accuracy of the model in describing friction force both in the presliding and the sliding regimes.

show abstract

Chaos caused by non-reversible dry friction

Cited by 33 publications

References 8 publications

Hysteretic effects of dry friction: modelling and experimental studies

Hysteretic effects of dry friction: modelling and experimental studies

Estimation of Lyapunov exponents for a system with sensitive friction model

Non-reversible friction modeling and identification

Contact Info

Product

Resources

About