MODELLING TWO-DIMENSIONAL FRICTION CONTACT AND ITS APPLICATION USING HARMONIC BALANCE METHOD

• Published in: Journal of sound and vibration 1996-06, Vol.193 (2), p.511-523
• Main Authors: Sanliturk, K.Y., Ewins, D.J.
• Format: Article
• Language: English
• Subjects: Applied sciences; Continuous cycle engines: steam and gas turbines, jet engines; Engines and turbines; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mechanical contact (friction...); Mechanical engineering. Machine design; Physics; Solid mechanics; Structural and continuum mechanics; Tribology and mechanical contacts
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1996.0299

A new approach to the modelling of two-dimensional behaviour of a point friction contact is presented which permits the computation of the non-linear dynamic response of a structure with joints constrained by friction interfaces and can be used to optimize blade dampers in turbo dose machinery applications. The proposed approach is an extension of the work of Menq et al.[1] and provides a mathematically simpler, yet more accurate, modelling for two dimensional contact problems. Furthermore, the new approach is not restricted to the Coulomb friction model used in the past. The friction force at a joint can be formulated based either on a theoretical model or on measured data in the form of a friction force–displacement loading curve. A single-term harmonic balance method is used to obtain the steady state non-linear response amplitudes of a simple system with the contact point undergoing an elliptical trajectory in response to a harmonic excitation. Accuracy and computational efficiency are demonstrated by comparing the results with a time-marching solution.