Predicting vibration-induced displacement for a resonant friction slider |
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| Affiliation: | 1. Tennesseealee 35, D-76149 Karlsruhe, Germany;2. Technical University of Denmark, Department of Solid Mechanics, Building 404, DK-2800 Lyngby, Denmark;1. Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, UTM, Skudai 81310, Johor Bahru, Malaysia;2. Office of the Governor, Government House, Abere, Osun State, Nigeria;1. Department of Mechanical Engineering, Faculty of Engineering, University of Malaya, 50603, Malaysia;2. Department of Chemical Engineering, Faculty of Engineering, Balochistan University of Information Technology, Engineering and Management Sciences, Airport Road, Baleli, Quetta 87650, Balochistan, Pakistan;3. Department of Chemistry, Faculty of Science, University of Malaya, 50603, Malaysia;4. Department of Physics, Abbottabad University of Science and Technology, Havelian, Khyber Pakhtunkhwa, Pakistan;5. Department of Chemistry, Faculty of Science, University of Balochistan, Quetta 87500, Pakistan;6. Department of Geology, Faculty of Science, University of Malaya, 50603, Malaysia;1. Chemical Engineering Department, Universitat Politècnica de Catalunya (UPC), EEBE, 08019, Av. Eduard Maristany 10-14, Barcelona, Spain;2. Polyurethane R&D Department, BASF Española S.L. Curtex Division, 08907, Carretera del Mig 219, Barcelona, Spain;1. Key Lab of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang 110819, China;2. School of Mechanical and Mining Engineering, The University of Queensland, St. Lucia, QLD 4072, Australia;1. Department of Applied Physics, Center of Research and Advanced Studies (CINVESTAV-IPN), Mérida, Yucatán 97310, Mexico;2. Instituto de Energías Renovables de la Universidad Nacional Autónoma de México (IER-UNAM), Privada Xochicalco s/n, Temixco, Morelos 62580, Mexico;3. Módulo Solar S.A. de C.V., Calle 23 Este No. 3, Col. CIVAC, Jiutepec, Morelos 62578, Mexico |
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| Abstract: | ![]()
A mathematical model is set up to quantify vibration-induced motions of a slider, sandwiched between friction layers with different coefficients of friction, and equipped with an imbedded resonator that oscillates at high frequency and small amplitude. This model is highly nonlinear, involving non-smooth functions with strong harmonic excitation terms. The method of averaging is extended to hold for systems of this class, and used to derive approximate expressions for predicting average velocities of the slider. These expressions are shown to produce results that agree very well with numerical integration of the full equations of motion. The expressions are used to estimate and explain the influence of system parameters. |
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