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Hysteresis losses in oscillatory systems
Institution:1. National Institute of Aviation Technologies, Russian Federation;2. Faculty of Physics, M.V. Lomonosov Moscow State University, Russian Federation;1. Laboratory ”Group analysis of mathematical models in natural and engineering sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia;2. Research Centre ALGA: Advances in Lie Group Analysis, Department of Mathematics and Natural Sciences, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden;3. Department of Mathematics and Natural Sciences, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden;1. Department of Mathematics, University of Delhi, Delhi 110007, India;2. Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi 110078, India;1. A.N. Podgorny Institute for Mechanical Engineering Problems, National Academy of Sciences of Ukraine, 2/10 Dm. Pozharskoho St., 61046 Kharkiv, Ukraine;2. 377 H Administration Building, MC-348, 506 South Wright Street, Urbana, IL 61801, USA;1. Texas A and M University, Department of Mechanical Engineering, 3123 TAMU College Station, TX 77843-3123, United States;2. Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, Praha 8 – Karlín, CZ 186 75, Czech Republic
Abstract:Hysteresis losses restrict the quality factors of oscillatory systems. We have considered the energy dissipation mechanism using as an example the contact spots of the ball supports of a pendulum tribometer with plane samples. The bending of a contact spot leads to a storage of the system׳s elastic energy. Measuring the quality factor of the pendulum at oscillations, owing to the inclination of the contact spot, makes it possible to determine the coefficient of hysteresis losses in materials and thin coatings without destroying their structures.
Keywords:Contact mechanics  Coefficient of hysteresis losses  Inner friction  Hysteresis  Nonlinear losses  Quality factor
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