This survey is devoted to a significant role of var ious dry friction laws in engineering sciences. Both advantages and disadvantages of a frict ional process are illustrated and discussed, but excluding the nature of friction. It is shown how the classic friction laws and modern friction theories exists in today pure and a pplied sciences. Static and dynamic friction models are described. An important role of purely theoretical and experimental investigations in developing the appropriate fricti on models is outlined putting an emphasis on new approaches (models proposed by Bay-Wanheim, Dahl, Bliman-Sorine, LundGrenoble, as well as atomic scale and fractal model s, among others). Friction treated as a complex process being in interaction with wear, hea t emission and deformation is also discussed. Then an impact of dry friction models on today dynamical systems theory is reviewed. Finally, an application of friction to mo del a brake mechanism as a mechanical system with two degrees-of-freedom including experimental and numerical analyses is given. The review paper contains 254 references.

https://msvlab.hre.ntou.edu.tw/AMR-Awre-2005.pdf

Analysis of Dynamic Systems With Various Friction Laws

Dynamics of a 3dof torsional system with a dry friction controlled path

A discrete model of a stochastic friction system

Development of a chaotic nonlinear tuned mass damper for optimal vibration response

Influence of harmonically varying normal load on steady-state behavior of a 2dof torsional system with dry friction

The properties of a passive vibration absorber with dry friction significantly differ from those of the classical linear absorber. The exceptional phenomenon is the possibility of suppressing all excited modes. This effect is influenced to a small extent by a special shape of the friction characteristic, but mainly by an appropriately adjusted threshold of the static friction. The theoretical predictions are confirmed by experimental investigations.

/pdf/passive-vibration-absorber-with-dry-friction-xvl91j8lw5.pdf

Passive vibration absorber with dry friction

Developing a mathematical model of a mechanical system with friction and impact leads to problems regarding the integration of systems with variable structure. The main point of interest is the influence of permanent disturbances (both of physical and numerical nature) on the orbital stability of the non-disturbed solution. It is shown that both types of disturbances have similar effects and that, depending on the type of solution, different stability limits exist.

/pdf/an-example-for-the-orbital-stability-of-permanently-59kwqulp1d.pdf

An Example for the Orbital Stability of Permanently Disturbed Non‐smooth Motions

The influence of a time-variant normal force on the motion of a pendulum with dry friction is investigated. The main interest is focused on the characteristic of the friction force.

Friction Force Characteristics in a Pendulum with Coulomb Friction and a Non-constant Normal Force

Investigated was the influence of different friction models onto periodicity and uniqueness of stationary motions of a mechanical system.

A. Hartung

Papers

Passive vibration absorber with dry friction

An Example for the Orbital Stability of Permanently Disturbed Non‐smooth Motions

Friction Force Characteristics in a Pendulum with Coulomb Friction and a Non-constant Normal Force

Non-Unique Periodic Stick-Slip Motions of a Forced 2-DOF-Frictional Oscillator