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Effect of resonant absorption in viscous and dry vibrating contact: Mathematical models and theory connected with slow dynamics and friction welding
Institution:1. Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, Ufa, Russia;2. Research Centre ALGA: Advances in Lie Group Analysis, Department of Mathematics and Science, Blekinge Institute of Technology, Karlskrona, Sweden;3. Physical Faculty of M.V. Lomonosov Moscow State University, Russia;4. O.Yu. Schmidt Earth physics institute of Russian Academy of Sciences, Russia;5. N.I. Lobachevski Nizhni Novgorod State University, Russia;6. A.M. Prokhorov General physics institute of Russian Academy of Sciences, Russia;7. Department of Mechanical Engineering, Blekinge Institute of Technology, Karlskrona, Sweden;1. Blekinge Institute of Technology;1. Department of Mathematics and Mechanics, St Petersburg State University, St Petersburg 198504, Russia;2. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vasilievskii Ostrov, St Petersburg 199178, Russia;3. St Petersburg State Polytechnical University, St Petersburg 195251, Russia;4. Ufa State Aviation Technical University, 12 K. Marx str., Ufa 450000, Russia;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 Science, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden;3. School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand;1. Keldysh Institute of Applied Mathematics, Russian Acad. Sci., Moscow, Russia;2. Laboratory “Group Analysis of Mathematical Models in Natural and Engineering Sciences”, Ufa State Aviation Technical University, Ufa, Russia;3. Research Centre ALGA: Advances in Lie Group Analysis, Department of Mathematics and Science, Blekinge Institute of Technology, Karlskrona, Sweden
Abstract:
Keywords:Vibrating contact  Resonant absorption  Friction welding  Mathematical model  Conservation law
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