Friction is a classical field that goes back to Leonardo da Vinci, Guilliame Amonton, and Charles Augustin de Coulomb. Amonton found that friction force is proportional to normal load, but surprisingly is independent of the area of the apparent contact surface. This observation is known as the Amonton’s paradox. The apparent contact surface is the geometric object surface projected to the conta...

Modeling of magneto-rheological dampers to be used in semi-active control of civil engineering structures is addressed. The behavior of this kind of dampers is modeled through a first order Lugre dynamic friction model whose structure is analytically simpler than other dynamic friction models used in the literature. With this structure real-time parametric identification of the magneto-rheologi...

In this paper we derive a new dynamic friction force model for the longitudinal road/tire interaction for wheeled ground vehicles. The model is based on a dynamic friction model developed previously for contact-point friction problems, called the LuGre model [1]. By assuming a contact patch between the tire and the ground we develop a partial differential equation for the distribution of the fr...

Abstract. This paper presents reviews of several models and numerical simulation models of non-linear and hysteresis behaviors of magneto-rheological liquid dampers in MATLAB®/Simulink® in the example of quarter-car model of vehicle suspension simulation, such as, Bingham, Dahl, LuGre and Bouc-Wen models. In addition, it demonstrates numerical simulation models built in MATLAB®/Simulink® and di...

Abstract In this paper, we develop an adaptation of the LuGre friction model so as to allow development force and its application in any directions on systems subjected varying normal forces. This is achieved by projecting a modified adapted forces 3D along arbitrary orthogonal system. Consequently, direction automatically oriented correct direction, thus stick, stick-slip, slip behavior can be...

Article history: Received 12 January 2010 Received in revised form 15 October 2010 Accepted 16 November 2010 Available online 21 November 2010

A dynamic tire friction model based on the LuGre friction model has been developed recently. The model includes the longitudinal and lateral forces, as well as the self aligning torque. It has originally been derived in distibuted form, and then transformed to simpler lumped form with only three internal states. The lumped model has been based on uniform normal pressure distribution. It is exte...