[
    {
        "id": "osp-13281",
        "type": "article-journal",
        "title": "Identification of Friction/Vibration Interaction between Solids",
        "author": [
            {
                "family": "Abdo",
                "given": "Jamil"
            },
            {
                "family": "Al-Rawahi",
                "given": "Nabeel Z. H."
            }
        ],
        "URL": "https://omanscience.com/ar/articles/identification-of-friction-vibration-interaction-between-solids",
        "language": "en",
        "issued": {
            "date-parts": [
                [
                    2008
                ]
            ]
        },
        "container-title": "The Journal of Engineering Research",
        "volume": "5",
        "issue": "1",
        "page": "62",
        "DOI": "10.24200/tjer.vol5iss1pp62-70",
        "publisher": "Sultan Qaboos University",
        "ISSN": "1726-6009",
        "abstract": "Dry-friction forces have been shown to depend not only on the characteristics of the surface in contact but also on the dynamic interaction of the contacting bodies. A viscoelastic mathematical model that accounts for the interaction at micro-scale of rough surfaces is developed. The mathematical formulation relates the tribological events at microscopic and macroscopic scales vibration response of a \"mass on moving belt\". The viscoelastic properties are presented by combining loss modulus with Young's modulus to obtain a differential operator on the interference, reminiscent of the Kelvin-Voigt model. The analysis of the system establishes the relation between friction force and speed and supports observed behavior of many systems with friction. The derivations do not rely on a phenomenological account of friction, which requires a presumed friction coefficient. Instead the friction force is accounted for as a result of interaction of the rough surfaces. This has led to a set of nonlinear ordinary differential equations that directly relate the vibration of the system to the surface parameters. It is shown that, as a result of coupling of the macrosystem's dynamics and contact, there are combinations of parameters at micro- and macroscale that yield negative slope in friction force/sliding speed relation, a well known source of dynamic instability."
    }
]